Estimation of Bivariate Survival Function from Random Censored Data with Poisson Sample Size
2020 ◽
Vol 72
(2)
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pp. 111-121
Keyword(s):
At the present time there are several approaches to estimation of survival functions of vectors of lifetimes. However, some of these estimators either are inconsistent or not fully defined in range of joint survival functions and therefore not applicable in practice. In this article, we consider three types of estimates of exponential-hazard, product-limit, and relative-risk power structures for the bivariate survival function, when replacing the number of summands in empirical estimates with a sequence of Poisson random variables. It is shown that these estimates are asymptotically equivalent. AMS 2000 subject classification: 62N01
2020 ◽
pp. 422-430
2009 ◽
Vol 25
(2)
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pp. 203-213
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2008 ◽
Vol 138
(12)
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pp. 4041-4054
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2005 ◽
Vol 12
(3)
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pp. 783-795
2003 ◽
pp. 143-173
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1991 ◽
Vol 22
(4)
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pp. 659-666
1986 ◽
Vol 14
(4)
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pp. 1351-1365
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2013 ◽
Vol 29
(3-4)
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pp. 641-659
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1993 ◽
Vol 21
(3)
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pp. 1648-1662
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