📄 sw_d.m
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% PURPOSE: demo of sw()
% Temporal disaggregation using the Stram-Wei method
%---------------------------------------------------
% USAGE: sw_d
%---------------------------------------------------
close all; clear all; clc;
% Low-frequency data: Spain's Exports of Goods. 1995 prices
Y=[ 20499
23477
25058
27708
31584
31898
30233
32235
34049
36035
39795
44299
47426
52339
62949
69885
77174
90133
96496
102776
113026
115573 ];
% ---------------------------------------------
% Inputs for td library
% Type of aggregation
ta=1;
% Minimizing the volatility of d-differenced series
d=1;
% Frequency conversion
s=4;
% Number of observations of low-frequency input
N = length(Y);
% Number of observations of high-frequency output
n = s*N;
% Defining the VCV matrix of stationary high-frequency time series
% Assumption of the example: IMA(d,2). For a comprehensive and more general analysis
% please consult Stram and Wei (1986)"Temporal aggregation in the ARIMA process",
% Journal of Time Series Analysis, vol. 7, n鷐. 4, p. 279-292.
th1 = 0.9552;
th2 = -0.0015;
va = 0.87242 * ((223.5965)^2);
acf0 = va * (1+th1^2+th2^2);
acf1 = -va * th1 * (1-th2);
acf2 = -va * th2;
a0(1:n-d)=acf0;
a1(1:n-d-1)=acf1;
a2(1:n-d-2)=acf2;
v=0.5*diag(a0)+diag(a1,-1)+diag(a2,-2);
v=v+tril(v)';
% Name of ASCII file for output
file_sal='sw.sal';
% Calling the function: output is loaded in a structure called res
res = sw(Y,ta,d,s,v);
% Calling printing function
tduni_print(res,file_sal);
edit sw.sal;
% Calling graph function
tduni_plot(res);
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