Time series model identification by estimating information, memory and quantiles.

Parzen, Emanuel. "Time series model identification by estimating information, memory and quantiles.." Qüestiió 7.4 (1983): 531-562. <http://eudml.org/doc/40015>.

@article{Parzen1983,
abstract = {This paper applies techniques of Quantile Data Analysis to non-parametrically analyze time series functions such as the sample spectral density, sample correlations and sample partial correlations. The aim is to identify the memory type of an observed time series, and thus to identify parametric time domain models that fit an observed time series. Time series models are usually tested for adequacy by testing if their residuals are white noise. It is proposed that an additional criterion of fit for a parametric model is that it has the non-parametrically estimated memory characteristics. An important diagnostic of memory is the index δ of regular variation of a spectral density; estimators are proposed for δ. Interpretations of the new quantile criteria are developed through cataloging their values for representative time series. The model identification procedures proposed are illustrated by analysis of long memory series simulated by Granger and Joyeux, and the airline model of Box and Jenkins.},
author = {Parzen, Emanuel},
journal = {Qüestiió},
keywords = {Series temporales; Modelos; Memoria; Información; entropy difference statistics; AMRA models; information measures; tests for model identification; memory; feedback; bivariate time series; References to computer programs},
language = {eng},
number = {4},
pages = {531-562},
title = {Time series model identification by estimating information, memory and quantiles.},
url = {http://eudml.org/doc/40015},
volume = {7},
year = {1983},
}

TY - JOUR
AU - Parzen, Emanuel
TI - Time series model identification by estimating information, memory and quantiles.
JO - Qüestiió
PY - 1983
VL - 7
IS - 4
SP - 531
EP - 562
AB - This paper applies techniques of Quantile Data Analysis to non-parametrically analyze time series functions such as the sample spectral density, sample correlations and sample partial correlations. The aim is to identify the memory type of an observed time series, and thus to identify parametric time domain models that fit an observed time series. Time series models are usually tested for adequacy by testing if their residuals are white noise. It is proposed that an additional criterion of fit for a parametric model is that it has the non-parametrically estimated memory characteristics. An important diagnostic of memory is the index δ of regular variation of a spectral density; estimators are proposed for δ. Interpretations of the new quantile criteria are developed through cataloging their values for representative time series. The model identification procedures proposed are illustrated by analysis of long memory series simulated by Granger and Joyeux, and the airline model of Box and Jenkins.
LA - eng
KW - Series temporales; Modelos; Memoria; Información; entropy difference statistics; AMRA models; information measures; tests for model identification; memory; feedback; bivariate time series; References to computer programs
UR - http://eudml.org/doc/40015
ER -