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Title: A versatile scheme for predicting renewal times (English)
Author: Morvai, Gusztáv
Author: Weiss, Benjamin
Language: English
Journal: Kybernetika
ISSN: 0023-5954 (print)
ISSN: 1805-949X (online)
Volume: 52
Issue: 3
Year: 2016
Pages: 348-358
Summary lang: English
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Category: math
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Summary: There are two kinds of universal schemes for estimating residual waiting times, those where the error tends to zero almost surely and those where the error tends to zero in some integral norm. Usually these schemes are different because different methods are used to prove their consistency. In this note we will give a single scheme where the average error is eventually small for all time instants, while the error itself tends to zero along a sequence of stopping times of density one. (English)
Keyword: nonparametric estimation
Keyword: stationary processes
MSC: 60G10
MSC: 60G25
MSC: 62G05
idZBL: Zbl 06644299
idMR: MR3532511
DOI: 10.14736/kyb-2016-3-0348
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Date available: 2016-07-17T12:12:36Z
Last updated: 2018-01-10
Stable URL: http://hdl.handle.net/10338.dmlcz/145780
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Reference: [8] Morvai, G., Weiss, B.: On universal estimates for binary renewal processes..Ann. Appl. Probab. 18 (2008), 5, 1970-1992. Zbl 1158.62053, MR 2462556, 10.1214/07-aap512
Reference: [9] Morvai, G., Weiss, B.: Estimating the residual waiting time for binary stationary time series..In: Proceedings of ITW2009, Volos 2009, pp. 67-70. 10.1109/itwnit.2009.5158543
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