A new approach to the problem of identifying a nonlinear time series model is considered. We argue that cumulative lagged conditional mean and variance functions are the appropriate "signatures" of a nonlinear time series for the purpose of model identification, being analogous to cumulative distribution functions or cumulative hazard functions in iid models. We introduce estimators of the cumulative lagged conditional mean and variance functions and study their asymptotic properties. A goodness-of-fit test for parametric time series models is also developed.
Publié le : 1994-03-14
Classification:
Stationary time series,
Markov processes,
goodness-of-fit tests,
martingale central limit theorem,
nonparametric estimation,
62M10,
62G07,
62G02,
62M02
@article{1176325381,
author = {McKeague, Ian W. and Zhang, Mei-Jie},
title = {Identification of Nonlinear Time Series from First Order Cumulative Characteristics},
journal = {Ann. Statist.},
volume = {22},
number = {1},
year = {1994},
pages = { 495-514},
language = {en},
url = {http://dml.mathdoc.fr/item/1176325381}
}
McKeague, Ian W.; Zhang, Mei-Jie. Identification of Nonlinear Time Series from First Order Cumulative Characteristics. Ann. Statist., Tome 22 (1994) no. 1, pp. 495-514. http://gdmltest.u-ga.fr/item/1176325381/