PARAMETER-ESTIMATION WITH EXACT DISTRIBUTION FOR MULTIDIMENSIONAL ORNSTEIN-UHLENBECK PROCESSES

Citation
G. Pap et Mca. Vanzuijlen, PARAMETER-ESTIMATION WITH EXACT DISTRIBUTION FOR MULTIDIMENSIONAL ORNSTEIN-UHLENBECK PROCESSES, Journal of Multivariate Analysis, 59(2), 1996, pp. 153-165
Citations number
12
Categorie Soggetti
Statistic & Probability","Statistic & Probability
ISSN journal
0047259X
Volume
59
Issue
2
Year of publication
1996
Pages
153 - 165
Database
ISI
SICI code
0047-259X(1996)59:2<153:PWEDFM>2.0.ZU;2-L
Abstract
It is shown that the suitably normalized maximum likelihood estimators of some parameters of multidimensional Ornstein-Uhlenbeck processes w ith coefficient matrix of a special structure have exactly a normal di stribution. This result provides a generalization to an arbitrary dime nsion of the well-known behavior of the estimator of the period of a c omplex AR(1) process. (C) 1996 Academic Press, Inc.