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 J. Sib. Fed. Univ. Math. Phys., 2020, Volume 13, Issue 4, Pages 422–430 (Mi jsfu850)

On estimation of bivariate survival function from random censored data

Abdurakhim A. Abdushukurova, Rustamjon S. Muradovb

a Moscow State University Tashkent Branch, Tashkent, Uzbekistan
b Namangan Institute of Engineering & Technology, Namangan, Uzbekistan

Abstract: At present there are several approaches to estimate survival functions of vectors of lifetimes. However, some of these estimators are either inconsistent or not fully defined in the range of joint survival functions. Therefore they are not applicable in practice. In this paper three types of estimates of exponential-hazard, product-limit and relative-risk power structures for the bivariate survival function are considered when the number of summands in empirical estimates is replaced with a sequence of Poisson random variables. It is shown that proposed estimates are asymptotically equivalent.

Keywords: bivariate survival function, Poisson random variables, empirical estimates.

DOI: https://doi.org/10.17516/1997-1397-2020-13-4-422-430

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UDC: 519.2
Accepted: 16.06.2020
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Citation: Abdurakhim A. Abdushukurov, Rustamjon S. Muradov, “On estimation of bivariate survival function from random censored data”, J. Sib. Fed. Univ. Math. Phys., 13:4 (2020), 422–430

Citation in format AMSBIB
\Bibitem{AbdMur20} \by Abdurakhim~A.~Abdushukurov, Rustamjon~S.~Muradov \paper On estimation of bivariate survival function from random censored data \jour J. Sib. Fed. Univ. Math. Phys. \yr 2020 \vol 13 \issue 4 \pages 422--430 \mathnet{http://mi.mathnet.ru/jsfu850} \crossref{https://doi.org/10.17516/1997-1397-2020-13-4-422-430} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000557580600004}