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Asymptotically optimal estimator of the parameter of semi-linear autoregression

Vernadsky National Library of Ukraine

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Title Asymptotically optimal estimator of the parameter of semi-linear autoregression
 
Creator Ivanenko, D.
 
Description The difference equations ξk = af(ξk-1) + εk, where (εk) is a square integrable difference martingale, and the differential equation dξ =-af(ξ)dt + dη, where η is a square integrable martingale, are considered. A family of estimators depending, besides the sample size n (or the observation period, if time is continuous) on some random Lipschitz functions is constructed. Asymptotic optimality of this estimators is investigated.
 
Date 2009-11-19T10:08:35Z
2009-11-19T10:08:35Z
2007
 
Type Article
 
Identifier Asymptotically optimal estimator of the parameter of semi-linear autoregression / D. Ivanenko // Theory of Stochastic Processes. — 2007. — Т. 13 (29), № 1-2. — С.77-85. — Бібліогр.: 7 назв.— англ.
0321-3900
http://dspace.nbuv.gov.ua/handle/123456789/4475
 
Language en
 
Publisher Інститут математики НАН України