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Teoriya Veroyatnostei i ee Primeneniya, 1998, Volume 43, Issue 1, Pages 141–148
DOI: https://doi.org/10.4213/tvp883 (Mi tvp883) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Short Communications

On nonparametric estimation of reliability indices

A. A. Abdushukurov

Tashkent State University, Faculty of Mathematics and Mechanics
Full-text PDF (382 kB) Citations (10)
DOI: https://doi.org/10.4213/tvp883
Abstract: The paper proposes nonparametric estimates for exponential cumulative intensity functions based on the generalized model of random censorship from the right. For respectively normed estimates, the results on strong approximationof them by a sequence of square integrable orthogonal martingales and on the weak convergence to the limit Gaussian process are proved.
Keywords: cumulative intensity function, censored data, square integrable martingale, Gaussian process.
Received: 25.12.1995
English version:
Theory of Probability and its Applications, 1999, Volume 43, Issue 1, Pages 116–122
DOI: https://doi.org/10.1137/S0040585X97976702
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. A. Abdushukurov, “On nonparametric estimation of reliability indices”, Teor. Veroyatnost. i Primenen., 43:1 (1998), 141–148; Theory Probab. Appl., 43:1 (1999), 116–122
Citation in format AMSBIB
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\paper On nonparametric estimation of reliability indices
\jour Teor. Veroyatnost. i Primenen.
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\pages 141--148
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\transl
\jour Theory Probab. Appl.
\yr 1999
\vol 43
\issue 1
\pages 116--122
\crossref{https://doi.org/10.1137/S0040585X97976702}
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  • https://doi.org/10.4213/tvp883
  • https://www.mathnet.ru/eng/tvp/v43/i1/p141
    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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