From c07fc7618b473653535bbd38113a9a7769065e35 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?St=C3=A9phane=20Adjemian=20=28Penelope=29?= <stephane.adjemian@univ-lemans.fr> Date: Thu, 14 Nov 2013 14:32:57 +0100 Subject: [PATCH] Updated manual. Description of the methods for the @dseries class. --- doc/dynare.plots/BaxterKingFilter.eps | 384 +++++++++++ doc/dynare.plots/BaxterKingFilter.jpg | Bin 0 -> 444104 bytes doc/dynare.plots/BaxterKingFilter.png | Bin 0 -> 258247 bytes doc/dynare.plots/HPCycle.eps | 386 +++++++++++ doc/dynare.plots/HPCycle.jpg | Bin 0 -> 451256 bytes doc/dynare.plots/HPCycle.png | Bin 0 -> 252393 bytes doc/dynare.plots/HPTrend.eps | 378 +++++++++++ doc/dynare.plots/HPTrend.jpg | Bin 0 -> 179047 bytes doc/dynare.plots/HPTrend.png | Bin 0 -> 128936 bytes doc/dynare.texi | 923 +++++++++++++++++++++++++- 10 files changed, 2067 insertions(+), 4 deletions(-) create mode 100644 doc/dynare.plots/BaxterKingFilter.eps create mode 100644 doc/dynare.plots/BaxterKingFilter.jpg create mode 100644 doc/dynare.plots/BaxterKingFilter.png create mode 100644 doc/dynare.plots/HPCycle.eps create mode 100644 doc/dynare.plots/HPCycle.jpg create mode 100644 doc/dynare.plots/HPCycle.png create mode 100644 doc/dynare.plots/HPTrend.eps create mode 100644 doc/dynare.plots/HPTrend.jpg create mode 100644 doc/dynare.plots/HPTrend.png diff --git a/doc/dynare.plots/BaxterKingFilter.eps b/doc/dynare.plots/BaxterKingFilter.eps new file mode 100644 index 0000000000..60765a8a59 --- /dev/null +++ b/doc/dynare.plots/BaxterKingFilter.eps @@ -0,0 +1,384 @@ +%!PS-Adobe-3.0 EPSF-3.0 +%%Creator: MATLAB, The MathWorks, Inc. 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def +/bpage {/pgsv save def} bdef +/epage {pgsv restore} bdef +/bplot /gsave ldef +/eplot {stroke grestore} bdef +% orientation switch +/portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def +% coordinate system mappings +/dpi2point 0 def +% font control +/FontSize 0 def +/FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] + makefont setfont} bdef +/reencode {exch dup where {pop load} {pop StandardEncoding} ifelse + exch dup 3 1 roll findfont dup length dict begin + { 1 index /FID ne {def}{pop pop} ifelse } forall + /Encoding exch def currentdict end definefont pop} bdef +/isroman {findfont /CharStrings get /Agrave known} bdef +/FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse + exch FMS} bdef +/csm {1 dpi2point div -1 dpi2point div scale neg translate + dup landscapeMode eq {pop -90 rotate} + {rotateMode eq {90 rotate} if} ifelse} bdef +% line types: solid, dotted, dashed, dotdash +/SO { [] 0 setdash } bdef +/DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef +/DA { [6 dpi2point mul] 0 setdash } bdef +/DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 + dpi2point mul] 0 setdash } bdef +% macros for lines and objects +/L {lineto stroke} bdef +/MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef +/AP {{rlineto} repeat} bdef +/PDlw -1 def +/W {/PDlw currentlinewidth def setlinewidth} def +/PP {closepath eofill} bdef +/DP {closepath stroke} bdef +/MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto + neg 0 exch rlineto closepath} bdef +/FR {MR stroke} bdef +/PR {MR fill} bdef +/L1i {{currentfile picstr readhexstring pop} image} bdef +/tMatrix matrix def +/MakeOval {newpath tMatrix currentmatrix pop translate scale +0 0 1 0 360 arc tMatrix setmatrix} bdef +/FO {MakeOval stroke} bdef +/PO {MakeOval fill} bdef +/PD {currentlinewidth 2 div 0 360 arc fill + PDlw -1 eq not {PDlw w /PDlw -1 def} if} def +/FA {newpath tMatrix currentmatrix pop translate scale + 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef +/PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale + 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef +/FAn {newpath tMatrix currentmatrix pop translate scale + 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef +/PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale + 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef +/vradius 0 def /hradius 0 def /lry 0 def +/lrx 0 def /uly 0 def /ulx 0 def /rad 0 def +/MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef + /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly + vradius add translate hradius vradius scale 0 0 1 180 270 arc + tMatrix setmatrix lrx hradius sub uly vradius add translate + hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix + lrx hradius sub lry vradius sub translate hradius vradius scale + 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub + translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix + closepath} bdef +/FRR {MRR stroke } bdef +/PRR {MRR fill } bdef +/MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def + newpath tMatrix currentmatrix pop ulx rad add uly rad add translate + rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad + sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix + closepath} bdef +/FlrRR {MlrRR stroke } bdef +/PlrRR {MlrRR fill } bdef +/MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def + newpath tMatrix currentmatrix pop ulx rad add uly rad add translate + rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad + sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix + closepath} bdef +/FtbRR {MtbRR stroke } bdef +/PtbRR {MtbRR fill } bdef +/stri 6 array def /dtri 6 array def +/smat 6 array def /dmat 6 array def +/tmat1 6 array def /tmat2 6 array def /dif 3 array def +/asub {/ind2 exch def /ind1 exch def dup dup + ind1 get exch ind2 get sub exch } bdef +/tri_to_matrix { + 2 0 asub 3 1 asub 4 0 asub 5 1 asub + dup 0 get exch 1 get 7 -1 roll astore } bdef +/compute_transform { + dmat dtri tri_to_matrix tmat1 invertmatrix + smat stri tri_to_matrix tmat2 concatmatrix } bdef +/ds {stri astore pop} bdef +/dt {dtri astore pop} bdef +/db {2 copy /cols xdef /rows xdef mul dup 3 mul string + currentfile + 3 index 0 eq {/ASCIIHexDecode filter} + {/ASCII85Decode filter 3 index 2 eq {/RunLengthDecode filter} if } + ifelse exch readstring pop + dup 0 3 index getinterval /rbmap xdef + dup 2 index dup getinterval /gbmap xdef + 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef +/it {gs np dtri aload pop moveto lineto lineto cp c + cols rows 8 compute_transform + rbmap gbmap bbmap true 3 colorimage gr}bdef +/il {newpath moveto lineto stroke}bdef +currentdict end def +%%EndProlog + +%%BeginSetup +MathWorks begin + +0 cap + +end +%%EndSetup + +%%Page: 1 1 +%%BeginPageSetup +%%PageBoundingBox: 70 213 546 591 +MathWorks begin +bpage +%%EndPageSetup + +%%BeginObject: obj1 +bplot + 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+/bpage {/pgsv save def} bdef +/epage {pgsv restore} bdef +/bplot /gsave ldef +/eplot {stroke grestore} bdef +% orientation switch +/portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def +% coordinate system mappings +/dpi2point 0 def +% font control +/FontSize 0 def +/FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] + makefont setfont} bdef +/reencode {exch dup where {pop load} {pop StandardEncoding} ifelse + exch dup 3 1 roll findfont dup length dict begin + { 1 index /FID ne {def}{pop pop} ifelse } forall + /Encoding exch def currentdict end definefont pop} bdef +/isroman {findfont /CharStrings get /Agrave known} bdef +/FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse + exch FMS} bdef +/csm {1 dpi2point div -1 dpi2point div scale neg translate + dup landscapeMode eq {pop -90 rotate} + {rotateMode eq {90 rotate} if} ifelse} bdef +% line types: solid, dotted, dashed, dotdash +/SO { [] 0 setdash } bdef +/DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash 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+/PRR {MRR fill } bdef +/MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def + newpath tMatrix currentmatrix pop ulx rad add uly rad add translate + rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad + sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix + closepath} bdef +/FlrRR {MlrRR stroke } bdef +/PlrRR {MlrRR fill } bdef +/MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def + newpath tMatrix currentmatrix pop ulx rad add uly rad add translate + rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad + sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix + closepath} bdef +/FtbRR {MtbRR stroke } bdef +/PtbRR {MtbRR fill } bdef +/stri 6 array def /dtri 6 array def +/smat 6 array def /dmat 6 array def +/tmat1 6 array def /tmat2 6 array def /dif 3 array def +/asub {/ind2 exch def /ind1 exch def dup dup + ind1 get exch ind2 get sub exch } bdef +/tri_to_matrix { + 2 0 asub 3 1 asub 4 0 asub 5 1 asub + dup 0 get exch 1 get 7 -1 roll astore } bdef +/compute_transform { + dmat dtri tri_to_matrix tmat1 invertmatrix + smat stri tri_to_matrix tmat2 concatmatrix } bdef +/ds {stri astore pop} bdef +/dt {dtri astore pop} bdef +/db {2 copy /cols xdef /rows xdef mul dup 3 mul string + currentfile + 3 index 0 eq {/ASCIIHexDecode filter} + {/ASCII85Decode filter 3 index 2 eq {/RunLengthDecode filter} if } + ifelse exch readstring pop + dup 0 3 index getinterval /rbmap xdef + dup 2 index dup getinterval /gbmap xdef + 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef +/it {gs np dtri aload pop moveto lineto lineto cp c + cols rows 8 compute_transform + rbmap gbmap bbmap true 3 colorimage gr}bdef +/il {newpath moveto lineto stroke}bdef +currentdict end def +%%EndProlog + +%%BeginSetup +MathWorks begin + +0 cap + +end +%%EndSetup + +%%Page: 1 1 +%%BeginPageSetup +%%PageBoundingBox: 78 213 561 591 +MathWorks begin +bpage +%%EndPageSetup + +%%BeginObject: obj1 +bplot + +/dpi2point 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zQj4APOY>4P^U|I2D;P{Hj4O=IEws%ow2cgnbvwjYGB7a6KvnysmZjz}IHu$$rRo~% c87R001iOJ4T(b*yKL&-2r>mdKI;Vst0BHJY0ssI2 literal 0 HcmV?d00001 diff --git a/doc/dynare.texi b/doc/dynare.texi index 56b3355dbd..6960d9a57f 100644 --- a/doc/dynare.texi +++ b/doc/dynare.texi @@ -49,6 +49,13 @@ @emph{Examples} @end macro +@macro remarkhead +@iftex +@sp 1 +@end iftex +@noindent @emph{Remark} +@end macro + @macro outputhead @iftex @sp 1 @@ -9065,14 +9072,922 @@ do2 = dseries(`filename.csv'); do3 = dseries([1; 2; 3], 1999Q3, @{`var123'@}, @{`var_@{123@}'@}); @end example -@sp1 +@sp 1 @example In a Matlab/Octave script: -do1 = dseries(dates('1999Q3')); -do2 = dseries(`filename.csv'); -do3 = dseries([1; 2; 3], dates('1999Q3'), @{`var123'@}, @{`var_@{123@}'@}); +>> do1 = dseries(dates('1999Q3')); +>> do2 = dseries(`filename.csv'); +>> do3 = dseries([1; 2; 3], dates('1999Q3'), @{`var123'@}, @{`var_@{123@}'@}); +@end example + +@sp 1 + +A list of the available methods, by alphabetical order, is given below. + +@deftypefn {dseries} {[@var{A}, @var{B}] = } align (@var{A}, @var{B}) + +If @dseries objects @var{A} and @var{B} are defined on different time ranges, this function extends @var{A} and/or @var{B} with NaNs so that they are defined on the same time range. Note that both @dseries objects must have the same frequency. + +@examplehead +@example +>> ts0 = dseries(rand(5,1),dates('2000Q1')); % 2000Q1 -> 2001Q1 +>> ts1 = dseries(rand(3,1),dates('2000Q4')); % 2000Q4 -> 2001Q2 +>> [ts0, ts1] = align(ts0, ts1); % 2000Q1 -> 2001Q2 +>> ts0 + +ts0 is a dseries object: + + | Variable_1 +2000Q1 | 0.81472 +2000Q2 | 0.90579 +2000Q3 | 0.12699 +2000Q4 | 0.91338 +2001Q1 | 0.63236 +2001Q2 | NaN + +>> ts1 + +ts1 is a dseries object: + + | Variable_1 +2000Q1 | NaN +2000Q2 | NaN +2000Q3 | NaN +2000Q4 | 0.66653 +2001Q1 | 0.17813 +2001Q2 | 0.12801 +@end example + +@end deftypefn + +@sp 1 + +@deftypefn {dseries} {@var{B} = } baxter_king_filter (@var{A}, @var{hf}, @var{lf}, @var{K}) + +Implementation of Baxter and King (1999) band pass filter for @dseries objects. This filter isolates business cycle fluctuations with a period of length ranging between @var{hf} (high frequency) to @var{lf} (low frequency) using a symetric moving average smoother with @math{2K+1} points, so that K observations at the beginning and at the end of the sample are lost in the computation of the filter. + +@examplehead +@example +% Simulate a component model (stochastic trend, deterministic trend, and a +% stationary autoregressive process). +e = .2*randn(200,1); +u = randn(200,1); +stochastic_trend = cumsum(e); +deterministic_trend = .1*transpose(1:200); +x = zeros(200,1); +for i=2:200 + x(i) = .75*x(i-1) + e(i); +end +y = x + stochastic_trend + deterministic_trend; + +% Instantiates time series objects. +ts0 = dseries(y,'1950Q1'); +ts1 = dseries(x,'1950Q1'); % stationary component. + +% Apply the Baxter-King filter. +ts2 = ts0.baxter_king_filter(); + +% Plot the filtered time series. +plot(ts1(ts2.dates).data,'-k'); % Plot of the stationary component. +hold on +plot(ts2.data,'--r'); % Plot of the filtered y. +hold off +axis tight +id = get(gca,'XTick'); +set(gca,'XTickLabel',strings(ts.dates(id))); @end example +@iftex +@sp 1 +The previous code should produce something like: +@center +@image{dynare.plots/BaxterKingFilter,11.32cm,7cm} +@end iftex + +@end deftypefn + +@sp 1 + +@deftypefn {dseries} {[@var{error_flag}, @var{message} ] = } check (@var{A}) + +Sanity check of @dseries object @var{A}. Returns @math{1} if there is an error, @math{0} otherwise. The second output argument is a string giving brief informations about the error. + +@end deftypefn + +@sp 1 + +@deftypefn {dseries} {@var{B} = } cumsum (@var{A}[, @var{d}[, @var{v}]]) + +Overloads the Matlab/Octave @code{cumsum} function for @dseries objects. The cumulated sum cannot be computed if the variables in @dseries object @var{A} have @code{NaN}s. If a @dates object @var{d} is provided as a second argument, then the method computes the cumulated sum with the additional constraint that the variables in the @dseries object @var{B} are zero in period @var{d}. If a single observation @dseries object @var{v} is provided as a third argument, the cumulated sum in @var{B} is such that @code{B(d)} matches @var{v}. + +@examplehead +@example +>> ts1 = dseries(ones(10,1)); +>> ts2 = ts1.cumsum(); +>> ts2 + +ts2 is a dseries object: + + | cumsum(Variable_1) +1Y | 1 +2Y | 2 +3Y | 3 +4Y | 4 +5Y | 5 +6Y | 6 +7Y | 7 +8Y | 8 +9Y | 9 +10Y | 10 + +>> ts3 = cumsum(dates('3Y')); +>> ts3 + +ts3 is a dseries object: + + | cumsum(Variable_1) +1Y | -2 +2Y | -1 +3Y | 0 +4Y | 1 +5Y | 2 +6Y | 3 +7Y | 4 +8Y | 5 +9Y | 6 +10Y | 7 + +>> ts4 = ts1.cumsum(dates('3Y'),dseries(pi)); +>> ts4 + +ts4 is a dseries object: + + | cumsum(Variable_1) +1Y | 1.1416 +2Y | 2.1416 +3Y | 3.1416 +4Y | 4.1416 +5Y | 5.1416 +6Y | 6.1416 +7Y | 7.1416 +8Y | 8.1416 +9Y | 9.1416 +10Y | 10.1416 +@end example + +@end deftypefn + +@sp 1 + +@deftypefn{dseries} {@var{C} =} eq (@var{A}, @var{B}) + +Overloads the Matlab/Octave @code{eq} (equal, @code{==}) operator. @dseries objects @var{A} and @var{B} must have the same number of observations (say, @math{T}) and variables (@math{N}). The returned argument is a @math{T} by @math{N} matrix of zeros and ones. Element @math{(i,j)} of @var{C} is equal to @code{1} if and only if observation @math{i} for variable @math{j} in @var{A} and @var{B} are the same. + +@examplehead +@example +>> ts0 = dseries(2*ones(3,1)); +>> ts1 = dseries([2; 0; 2]); +>> ts0==ts1 + +ans = + + 1 + 0 + 1 +@end example + +@end deftypefn + +@sp 1 + +@deftypefn{dseries} {@var{B} =} exp (@var{A}) + +Overloads the Matlab/Octave @code{exp} function for @dseries objects. +@examplehead +@example +>> ts0 = dseries(rand(10,1)); +>> ts1 = ts0.exp(); +@end example + +@end deftypefn + +@sp 1 + +@deftypefn{dseries} {@var{C} =} extract (@var{A}, @var{B}[, ]...) + +Extracts some variables from a @dseries object @var{A} and returns a @dseries object @var{C}. The input arguments following @var{A} are strings representing the variables to be selected in the new @dseries object @var{C}. To simplify the creation of sub-objects, the @dseries class overloads the curly braces (@code{D = extract (A, B, C)} is equivalent to @code{D = A@{B,C@}}) and allows implicit loops (defined between a pair of @@ symbol, see examples below) or Matlab/Octave's regular expressions (introduced by square brackets). + +@exampleshead + +@noindent The following selections are equivalent: +@example +>> ts0 = dseries(ones(100,10)); +>> ts1 = ts0@{'Variable_1','Variable_2','Variable_3'@}; +>> ts2 = ts0@{'Variable_@@1,2,3@@'@} +>> ts3 = ts0@{'Variable_[1-3]$'@} +>> isequal(ts1,ts2) && isequal(ts1,ts3) + +ans = + + 1 +@end example + +@noindent It is possible to use up to two implicit loops to select variables: +@example +names = @{'GDP_1';'GDP_2';'GDP_3'; 'GDP_4'; 'GDP_5'; 'GDP_6'; 'GDP_7'; 'GDP_8'; ... + 'GDP_9'; 'GDP_10'; 'GDP_11'; 'GDP_12'; ... + 'HICP_1';'HICP_2';'HICP_3'; 'HICP_4'; 'HICP_5'; 'HICP_6'; 'HICP_7'; 'HICP_8'; ... + 'HICP_9'; 'HICP_10'; 'HICP_11'; 'HICP_12'@}; + +ts0 = dseries(randn(4,24),dates('1973Q1'),names); +ts0@{'@@GDP,HICP@@_@@1,3,5@@'@} + +ans is a dseries object: + + | GDP_1 | GDP_3 | GDP_5 | HICP_1 | HICP_3 | HICP_5 +1973Q1 | 1.7906 | -1.6606 | -0.57716 | 0.60963 | -0.52335 | 0.26172 +1973Q2 | 2.1624 | 3.0125 | 0.52563 | 0.70912 | -1.7158 | 1.7792 +1973Q3 | -0.81928 | 1.5008 | 1.152 | 0.2798 | 0.88568 | 1.8927 +1973Q4 | -0.03705 | -0.35899 | 0.85838 | -1.4675 | -2.1666 | -0.62032 +@end example + +@end deftypefn + +@sp 1 + +@deftypefn{dseries} {@var{D} =} horzcat (@var{A}, @var{B}[, ]...) + +Overloads the @code{horzcat} Matlab/Octave's method for @dseries objects. Returns a @dseries object @var{D} containing the variables in @dseries objects passed as inputs: @var{A}, @var{B}, ... If the inputs are not defined on the same time ranges, the method add @code{NaN}s to the variables so that the variables are redefined on the smallest common time range. Note that the names in the @dseries objects passed as inputs must be different and these objects must have common frequency. + +@examplehead +@example +>> ts0 = dseries(rand(5,2),'1950Q1',@{'nifnif';'noufnouf'@}); +>> ts1 = dseries(rand(7,1),'1950Q3',@{'nafnaf'@}); +>> ts2 = [ts0, ts1]; +>> ts2 + +ts2 is a dseries object: + + | nifnif | noufnouf | nafnaf +1950Q1 | 0.17404 | 0.71431 | NaN +1950Q2 | 0.62741 | 0.90704 | NaN +1950Q3 | 0.84189 | 0.21854 | 0.83666 +1950Q4 | 0.51008 | 0.87096 | 0.8593 +1951Q1 | 0.16576 | 0.21184 | 0.52338 +1951Q2 | NaN | NaN | 0.47736 +1951Q3 | NaN | NaN | 0.88988 +1951Q4 | NaN | NaN | 0.065076 +1952Q1 | NaN | NaN | 0.50946 +@end example + +@end deftypefn + +@sp 1 + +@deftypefn {dseries} {@var{B} = } hpcycle (@var{A}[, @var{lambda}]) + +Extracts the cycle component from a @dseries @var{A} object using Hodrick Prescott filter and returns a @dseries object, @var{B}. Default value for @var{lambda}, the smoothing parameter, is @math{1600}. + +@examplehead +@example +% Simulate a component model (stochastic trend, deterministic trend, and a +% stationary autoregressive process). +e = .2*randn(200,1); +u = randn(200,1); +stochastic_trend = cumsum(e); +deterministic_trend = .1*transpose(1:200); +x = zeros(200,1); +for i=2:200 + x(i) = .75*x(i-1) + e(i); +end +y = x + stochastic_trend + deterministic_trend; + +% Instantiates time series objects. +ts0 = dseries(y,'1950Q1'); +ts1 = dseries(x,'1950Q1'); % stationary component. + +% Apply the HP filter. +ts2 = ts0.hpcycle(); + +% Plot the filtered time series. +plot(ts1(ts2.dates).data,'-k'); % Plot of the stationary component. +hold on +plot(ts2.data,'--r'); % Plot of the filtered y. +hold off +axis tight +id = get(gca,'XTick'); +set(gca,'XTickLabel',strings(ts.dates(id))); +@end example + +@iftex +@sp 1 +The previous code should produce something like: +@center +@image{dynare.plots/HPCycle,11.32cm,7cm} +@end iftex + +@end deftypefn + +@sp 1 + +@deftypefn {dseries} {@var{B} = } hptrend (@var{A}[, @var{lambda}]) + +Extracts the trend component from a @dseries @var{A} object using Hodrick Prescott filter and returns a @dseries object, @var{B}. Default value for @var{lambda}, the smoothing parameter, is @math{1600}. + +@examplehead +Using the same generating data process as in the previous example: +@example +ts1 = dseries(stochastic_trend + deterministic_trend,'1950Q1'); +% Apply the HP filter. +ts2 = ts0.hptrend(); + +% Plot the filtered time series. +plot(ts1.data,'-k'); % Plot of the nonstationary components. +hold on +plot(ts2.data,'--r'); % Plot of the estimated trend. +hold off +axis tight +id = get(gca,'XTick'); +set(gca,'XTickLabel',strings(ts0.dates(id))); +@end example + +@iftex +@sp 1 +The previous code should produce something like: +@center +@image{dynare.plots/HPTrend,11.32cm,7cm} +@end iftex + +@end deftypefn + +@sp 1 + +@deftypefn {dseries} {@var{C} = } insert (@var{A}, @var{B}, @var{I}) + +Inserts variables contained in @dseries object @var{B} in @dseries object @var{A} at positions specified by integer scalars in vector @var{I}, returns augmented @dseries object @var{C}. The integer scalars in @var{I} must take values between @code{1} and @code{A.length()+1} and refers to @var{A}'s column numbers. The @dseries objects @var{A} and @var{B} need not to be defined over the same time ranges, but it is assumled that they have common frequency. + +@examplehead +@example +>> ts0 = dseries(ones(2,4),'1950Q1',{'Sly'; 'Gobbo'; 'Sneaky'; 'Stealthy'}); +>> ts1 = dseries(pi*ones(2,1),'1950Q1',{'Noddy'}); +>> ts2 = ts0.insert(ts1,3) + +ts2 is a dseries object: + + | Sly | Gobbo | Noddy | Sneaky | Stealthy +1950Q1 | 1 | 1 | 3.1416 | 1 | 1 +1950Q2 | 1 | 1 | 3.1416 | 1 | 1 + +>> ts3 = dseries([pi*ones(2,1) sqrt(pi)*ones(2,1)],'1950Q1',{'Noddy';'Tessie Bear'}); +>> ts4 = ts0.insert(ts1,[3, 4]) + +ts4 is a dseries object: + + | Sly | Gobbo | Noddy | Sneaky | Tessie Bear | Stealthy +1950Q1 | 1 | 1 | 3.1416 | 1 | 1.7725 | 1 +1950Q2 | 1 | 1 | 3.1416 | 1 | 1.7725 | 1 +@end example + +@end deftypefn + +@sp 1 + +@deftypefn {dseries} {@var{B} = } isempty (@var{A}) + +Overloads the Matlab/octave's @code{isempty} function. Returns @code{1} if @dseries object @var{A} is empty, @code{0} otherwise. + +@end deftypefn + +@sp 1 + +@deftypefn {dseries} {@var{C} = } isequal (@var{A},@var{B}) + +Overloads the Matlab/octave's @code{isequal} function. Returns @code{1} if @dseries objects @var{A} and @code{B} are identical, @code{0} otherwise. + +@end deftypefn + +@sp 1 + +@deftypefn {dseries} {@var{B} = } lag (@var{A}[, @var{p}]) + +Returns lagged time series. Default value of @var{p}, the number of lags, is @code{1}. + +@exampleshead + +@example +>> ts0 = dseries(transpose(1:4),'1950Q1') + +ts0 is a dseries object: + + | Variable_1 +1950Q1 | 1 +1950Q2 | 2 +1950Q3 | 3 +1950Q4 | 4 + +>> ts1 = ts0.lag() + +ts1 is a dseries object: + + | lag(Variable_1,1) +1950Q1 | NaN +1950Q2 | 1 +1950Q3 | 2 +1950Q4 | 3 + +>> ts2 = ts0.lag(2) + +ts2 is a dseries object: + + | lag(Variable_1,2) +1950Q1 | NaN +1950Q2 | NaN +1950Q3 | 1 +1950Q4 | 2 +@end example + +@noindent @dseries class overloads the parenthesis so that @code{ts.lag(p)} can be written more compactly as @code{ts(-p)}. For instance: + +@example +>> ts0.lag(1) + +ans is a dseries object: + + | lag(Variable_1,1) +1950Q1 | NaN +1950Q2 | 1 +1950Q3 | 2 +1950Q4 | 3 +@end example + +@noindent or alternatively: + +@example +>> ts0(-1) + +ans is a dseries object: + + | lag(Variable_1,1) +1950Q1 | NaN +1950Q2 | 1 +1950Q3 | 2 +1950Q4 | 3 +@end example + +@end deftypefn + +@sp 1 + +@deftypefn {dseries} {@var{B} = } lead (@var{A}[, @var{p}]) + +Returns leaded time series. Default value of @var{p}, the number of leads, is @code{1}. As for the @code{lag} method, the @dseries class overloads the parenthesis so that @code{ts.lead(p)} is equivalent to @code{ts(p)}. + +@examplehead + +@example +>> ts0 = dseries(transpose(1:4),'1950Q1'); +>> ts1 = ts0.lead() + +ts1 is a dseries object: + + | lead(Variable_1,1) +1950Q1 | 2 +1950Q2 | 3 +1950Q3 | 4 +1950Q4 | NaN + +>> ts2 = ts0(2) + +ts2 is a dseries object: + + | lead(Variable_1,2) +1950Q1 | 3 +1950Q2 | 4 +1950Q3 | NaN +1950Q4 | NaN +@end example + +@end deftypefn + +@noindent @remarkhead + +@noindent The overloading of the parenthesis for @dseries objects, allows to easily create new @dseries objects by copying/pasting equations declared in the @code{model} block. For instance, if an Euler equation is defined in the @code{model} block: +@example +model; + ... + 1/C - beta/C(1)*(exp(A(1))*K^(alpha-1)+1-delta) ; + ... +end; +@end example +@noindent and if variables @var{C}, @var{A} and @var{K} are defined as @dseries objects, then by writting: +@example +Residuals = 1/C - beta/C(1)*(exp(A(1))*K^(alpha-1)+1-delta) ; +@end example +@noindent outside of the @code{model} block, we create a new @dseries object, called @var{Residuals}, for the residuals of the Euler equation (the conditional expectation of the equation defined in the @code{model} block is zero, but the residuals are non zero). + +@sp 1 + +@deftypefn{dseries} {@var{B} =} log (@var{A}) + +Overloads the Matlab/Octave @code{log} function for @dseries objects. +@examplehead +@example +>> ts0 = dseries(rand(10,1)); +>> ts1 = ts0.log(); +@end example + +@end deftypefn + +@sp 1 + +@deftypefn{dseries} {@var{C} =} merge (@var{A}, @var{B}) + +Merges two @dseries objects @var{A} and @var{B} in @dseries object @var{C}. Objects @var{A} and @var{B} need to have common frequency but can be defined on different time ranges. If a variable, say @code{x}, is defined both in @dseries objects @var{A} and @var{B}, then the merge will select the variable @code{x} as defined in the second input argument, @var{B}. + +@examplehead +@example +>> ts0 = dseries(rand(3,2),'1950Q1',{'A1';'A2'}) + +ts0 is a dseries object: + + | A1 | A2 +1950Q1 | 0.42448 | 0.92477 +1950Q2 | 0.60726 | 0.64208 +1950Q3 | 0.070764 | 0.1045 + +>> ts1 = dseries(rand(3,1),'1950Q2',{'A1'}) + +ts1 is a dseries object: + + | A1 +1950Q2 | 0.70023 +1950Q3 | 0.3958 +1950Q4 | 0.084905 + +>> merge(ts0,ts1) + +ans is a dseries object: + + | A1 | A2 +1950Q1 | NaN | 0.92477 +1950Q2 | 0.70023 | 0.64208 +1950Q3 | 0.3958 | 0.1045 +1950Q4 | 0.084905 | NaN + +>> merge(ts1,ts0) + +ans is a dseries object: + + | A1 | A2 +1950Q1 | 0.42448 | 0.92477 +1950Q2 | 0.60726 | 0.64208 +1950Q3 | 0.070764 | 0.1045 +1950Q4 | NaN | NaN +@end example + +@end deftypefn + +@sp 1 + +@deftypefn{dseries} {@var{C} =} minus (@var{A}, @var{B}) + +Overloads the @code{minus} (@code{-}) operator for @dseries objects, element by element substraction. If both @var{A} and @var{B} are @dseries objects, they do not need to be defined over the same time ranges. If @var{A} and @var{B} are @dseries object with @math{T_A} and @math{T_B} observations and @math{N_A} and @math{N_B} variables, then @math{N_A} must be equal to @math{N_B} or @math{1} and @math{N_B} must be equal to @math{N_A} or @math{1}. If @math{T_A=T_B}, @code{isequal(A.init,B.init)} returns 1 and @math{N_A=N_B}, then the @code{minus} operator will compute for each couple @math{(t,n)}, with @math{1<=t<=T_A} and @math{1<=n<=N_A}, @code{C.data(t,n)=A.data(t,n)-B.data(t,n)}. If @math{N_B} is equal to @math{1} and @math{N_A>1}, the smaller @dseries object (@var{B}) is ``broadcast'' across the larger @dseries (@var{A}) so that they have compatible shapes, the @code{minus} operator will substract the variable defined in @var{B} to each variable in @var{A}. If @var{B} is a double scalar, then the method @code{minus} will substract @var{B} to all the observations/variables in @var{A}. + +@examplehead +@example +>> ts0 = dseries(rand(3,2)); +>> ts1 = ts0@{'Variable_2'@}; +>> ts0-ts1 + +ans is a dseries object: + + | minus(Variable_1,Variable_2) | minus(Variable_2,Variable_2) +1Y | -0.48853 | 0 +2Y | -0.50535 | 0 +3Y | -0.32063 | 0 + +>> ts1 + +ts1 is a dseries object: + + | Variable_2 +1Y | 0.703 +2Y | 0.75415 +3Y | 0.54729 + +>> ts1-ts1.data(1) + +ans is a dseries object: + + | minus(Variable_2,0.703) +1Y | 0 +2Y | 0.051148 +3Y | -0.15572 + +>> ts1.data(1)-ts1 + +ans is a dseries object: + + | minus(0.703,Variable_2) +1Y | 0 +2Y | -0.051148 +3Y | 0.15572 +@end example + +@end deftypefn + +@sp 1 + +@deftypefn{dseries} {@var{C} =} mrdivide (@var{A}, @var{B}) + +Overloads the @code{mrdivide} (@code{/}) operator for @dseries objects, element by element division (like the @code{./} Matlab/Octave operator). If both @var{A} and @var{B} are @dseries objects, they do not need to be defined over the same time ranges. If @var{A} and @var{B} are @dseries object with @math{T_A} and @math{T_B} observations and @math{N_A} and @math{N_B} variables, then @math{N_A} must be equal to @math{N_B} or @math{1} and @math{N_B} must be equal to @math{N_A} or @math{1}. If @math{T_A=T_B}, @code{isequal(A.init,B.init)} returns 1 and @math{N_A=N_B}, then the @code{mrdivide} operator will compute for each couple @math{(t,n)}, with @math{1<=t<=T_A} and @math{1<=n<=N_A}, @code{C.data(t,n)=A.data(t,n)/B.data(t,n)}. If @math{N_B} is equal to @math{1} and @math{N_A>1}, the smaller @dseries object (@var{B}) is ``broadcast'' across the larger @dseries (@var{A}) so that they have compatible shapes, @code{mrdivides} operator will divide each variable defined in @var{A} by the variable in @var{B}, observation per observation. If @var{B} is a double scalar, then the method @code{mrdivide} will divide all the observations/variables in @var{A} by @var{B}. + +@examplehead +@example +>> ts0 = dseries(rand(3,2)) + +ts0 is a dseries object: + + | Variable_1 | Variable_2 +1Y | 0.72918 | 0.90307 +2Y | 0.93756 | 0.21819 +3Y | 0.51725 | 0.87322 + +>> ts1 = ts0@{'Variable_2'@}; +>> ts0/ts1 + +ans is a dseries object: + + | divide(Variable_1,Variable_2) | divide(Variable_2,Variable_2) +1Y | 0.80745 | 1 +2Y | 4.2969 | 1 +3Y | 0.59235 | 1 +@end example + +@end deftypefn + +@sp 1 + +@deftypefn{dseries} {@var{C} =} mtimes (@var{A}, @var{B}) + +Overloads the @code{mtimes} (@code{*}) operator for @dseries objects, Hadammard product (the @code{.*} Matlab/Octave operator). If both @var{A} and @var{B} are @dseries objects, they do not need to be defined over the same time ranges. If @var{A} and @var{B} are @dseries object with @math{T_A} and @math{T_B} observations and @math{N_A} and @math{N_B} variables, then @math{N_A} must be equal to @math{N_B} or @math{1} and @math{N_B} must be equal to @math{N_A} or @math{1}. If @math{T_A=T_B}, @code{isequal(A.init,B.init)} returns 1 and @math{N_A=N_B}, then the @code{mtimes} operator will compute for each couple @math{(t,n)}, with @math{1<=t<=T_A} and @math{1<=n<=N_A}, @code{C.data(t,n)=A.data(t,n)*B.data(t,n)}. If @math{N_B} is equal to @math{1} and @math{N_A>1}, the smaller @dseries object (@var{B}) is ``broadcast'' across the larger @dseries (@var{A}) so that they have compatible shapes, @code{mtimes} operator will multiply each variable defined in @var{A} by the variable in @var{B}, observation per observation. If @var{B} is a double scalar, then the method @code{mtimes} will multiply all the observations/variables in @var{A} by @var{B}. + +@end deftypefn + +@sp 1 + +@deftypefn{dseries} {@var{C} =} ne (@var{A}, @var{B}) + +Overloads the Matlab/Octave @code{ne} (equal, @code{~=}) operator. @dseries objects @var{A} and @var{B} must have the same number of observations (say, @math{T}) and variables (@math{N}). The returned argument is a @math{T} by @math{N} matrix of zeros and ones. Element @math{(i,j)} of @var{C} is equal to @code{1} if and only if observation @math{i} for variable @math{j} in @var{A} and @var{B} are not equal. + +@examplehead +@example +>> ts0 = dseries(2*ones(3,1)); +>> ts1 = dseries([2; 0; 2]); +>> ts0~=ts1 + +ans = + + 0 + 1 + 0 +@end example + +@end deftypefn + +@sp 1 + +@deftypefn{dseries} {@var{C} =} plus (@var{A}, @var{B}) + +Overloads the @code{plus} (@code{+}) operator for @dseries objects, element by element addition. If both @var{A} and @var{B} are @dseries objects, they do not need to be defined over the same time ranges. If @var{A} and @var{B} are @dseries object with @math{T_A} and @math{T_B} observations and @math{N_A} and @math{N_B} variables, then @math{N_A} must be equal to @math{N_B} or @math{1} and @math{N_B} must be equal to @math{N_A} or @math{1}. If @math{T_A=T_B}, @code{isequal(A.init,B.init)} returns 1 and @math{N_A=N_B}, then the @code{minus} operator will compute for each couple @math{(t,n)}, with @math{1<=t<=T_A} and @math{1<=n<=N_A}, @code{C.data(t,n)=A.data(t,n)+B.data(t,n)}. If @math{N_B} is equal to @math{1} and @math{N_A>1}, the smaller @dseries object (@var{B}) is ``broadcast'' across the larger @dseries (@var{A}) so that they have compatible shapes, the @code{plus} operator will add the variable defined in @var{B} to each variable in @var{A}. If @var{B} is a double scalar, then the method @code{add} will add @var{B} to all the observations/variables in @var{A}. + +@end deftypefn + +@sp 1 + +@deftypefn{dseries} {@var{B} =} pop (@var{A}[, @var{a}]) + +Removes variable @var{a} from @dseries object @var{A}. By default, if the second argument is not provided, the last variable is removed. + +@examplehead +@example +>> ts0 = dseries(ones(3,3)); +>> ts1 = ts0.pop('Variable_2'); + +ts1 is a dseries object: + + | Variable_1 | Variable_3 +1Y | 1 | 1 +2Y | 1 | 1 +3Y | 1 | 1 +@end example + +@end deftypefn + +@sp 1 + +@deftypefn{dseries} {@var{B} =} qdiff (@var{A}) +@deftypefnx{dseries} {@var{B} =} qgrowth (@var{A}) + +Computes quaterly differences or growth rates. + +@examplehead +@example +>> ts0 = dseries(transpose(1:4),'1950Q1'); +>> ts1 = ts0.qdiff() + +ts1 is a dseries object: + + | qdiff(Variable_1) +1950Q1 | NaN +1950Q2 | 1 +1950Q3 | 1 +1950Q4 | 1 + +>> ts0 = dseries(transpose(1:6),'1950M1'); +>> ts1 = ts0.qdiff() + +ts1 is a dseries object: + + | qdiff(Variable_1) +1950M1 | NaN +1950M2 | NaN +1950M3 | NaN +1950M4 | 3 +1950M5 | 3 +1950M6 | 3 +@end example + +@end deftypefn + +@sp 1 + +@deftypefn{dseries} {@var{B} =} rename (@var{A},@var{oldname},@var{newname}) + +Rename variable @var{oldname} to @var{newname} in @dseries object @var{A}, returns a @dseries object. + +@examplehead +@example +>> ts0 = dseries(ones(2,2)); +>> ts1 = ts0.rename('Variable_1','Stinkly') + +ts1 is a dseries object: + + | Stinkly | Variable_2 +1Y | 1 | 1 +2Y | 1 | 1 +@end example + +@end deftypefn + +@sp 1 + +@deftypefn{dseries} save (@var{A}[, @var{basename}[, @var{format}]]) + +Overloads the Matlab/Octave @code{save} function, saves @dseries object @var{A} to disk. Possible formats are @code{csv} (this is the default), @code{m} (Matlab/Octave script), and @code{mat} (Matlab binary data file). The name of the file without extension is specified by @var{basename}, by default @var{basename} is the name of the first input (namely, the @dseries object @var{A}). + +@examplehead +@example +>> ts0 = dseries(ones(2,2)); +>> ts0.save(); +@end example +@noindent The last command will create a file @code{ts0.csv} with the following content: +@example +,Variable_1,Variable_2 +1Y, 1, 1 +2Y, 1, 1 +@end example +To create a Matlab/octave script, the following command: +@example +>> ts0.save([],'m'); +@end example +will produce a file @code{ts0.m} with the following content: +@example +% File created on 14-Nov-2013 12:08:52. + +FREQ__ = 1; +INIT__ = ' 1Y'; + +NAMES__ = {'Variable_1'; 'Variable_2'}; +TEX__ = {'Variable_{1}'; 'Variable_{2}'}; + +Variable_1 = [ + 1 + 1]; + +Variable_2 = [ + 1 + 1]; +@end example +@noindent The generated (@code{csv}, @code{m}, or @code{mat}) files can be loaded when instantiating a @dseries object as explained above. + +@end deftypefn + +@sp 1 + +@deftypefn{dseries} {@var{B} =} set_names (@var{A}, @var{s1}, @var{s2}, ...) + +Renames variables in @dseries object @var{A}, returns a @dseries object @var{B} with new names @var{s1}, @var{s2}, @var{s3}, ... The number of input arguments after the first one (@dseries object @var{A}) must be equal to @code{A.vobs} (the number of variables in @var{A}). @var{s1} will be the name of the first variable in @var{B}, @var{s2} the name of the second variable in @var{B}, and so on. + +@examplehead +@example +>> ts0 = dseries(ones(1,3)); +>> ts1 = ts0.set_names('Barbibul',[],'Barbouille') + +ts1 is a dseries object: + + | Barbibul | Variable_2 | Barbouille +1Y | 1 | 1 | 1 +@end example + +@end deftypefn + +@sp 1 + +@deftypefn{dseries} {[@var{T}, @var{N} ] = } size (@var{A}[, @var{dim}]) + +Overloads the Matlab/Octave's @code{size} function. Returns the number of observations in @dseries object @var{A} (@emph{ie} @code{A.nobs}) and the number of variables (@emph{ie} @code{A.vobs}). If a second input argument is passed, the @code{size} function returns the number of observations if @code{dim=1} or the number of variables if @code{dim=2} (for all other values of @var{dim} an error is issued). + +@examplehead +@example +>> ts0 = dseries(ones(1,3)); +>> ts0.size() + +ans = + + 1 3 +@end example + +@end deftypefn + +@sp 1 + +@deftypefn{dseries} {@var{B} =} tex_rename (@var{A},@var{name},@var{newtexname}) + +Redefines the tex name of variable @var{name} to @var{newtexname} in @dseries object @var{A}, returns a @dseries object. + +@end deftypefn + +@sp 1 + +@deftypefn{dseries} {@var{B} =} uminus (@var{A}) + +Overloads @code{uminus} (@code{-}, unary minus) for @dseries object. + +@examplehead +@example +>> ts0 = dseries(1) + +ts0 is a dseries object: + + | Variable_1 +1Y | 1 + +>> ts1 = -ts0 + +ts1 is a dseries object: + + | -Variable_1 +1Y | -1 +@end example + +@end deftypefn + +@sp 1 + +@deftypefn{dseries} {@var{D} =} vertcat (@var{A}, @var{B}[, ]...) + +Overloads the @code{vertcat} Matlab/Octave's method for @dseries objects. This method is used to append more observations to a @dseries object. Returns a @dseries object @var{D} containing the variables in @dseries objects passed as inputs. All the input arguments must be @dseries objects with the same variables defined on @emph{different time ranges}. + +@examplehead +@example +>> ts0 = dseries(rand(2,2),'1950Q1',@{'nifnif';'noufnouf'@}); +>> ts1 = dseries(rand(2,2),'1950Q3',@{'nifnif';'noufnouf'@}); +>> ts2 = [ts0; ts1] + +ts2 is a dseries object: + + | nifnif | noufnouf +1950Q1 | 0.82558 | 0.31852 +1950Q2 | 0.78996 | 0.53406 +1950Q3 | 0.089951 | 0.13629 +1950Q4 | 0.11171 | 0.67865 +@end example + +@end deftypefn + +@deftypefn{dseries} {@var{B} =} ydiff (@var{A}) +@deftypefnx{dseries} {@var{B} =} ygrowth (@var{A}) + +Computes yearly differences or growth rates. + +@end deftypefn + +@sp 1 + + + + @node Reporting @chapter Reporting -- GitLab