Asymptotically optimal estimator of the parameter of semi-linear autoregression

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...

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Bibliographic Details
Date:2007
Main Author: Ivanenko, D.
Format: Article
Language:English
Published: Інститут математики НАН України 2007
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/4475
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this: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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine