Article

Estimation of Bivariate Survival Function from Random Censored Data with Poisson Sample Size

A. A. AbdushukurovDepartment of Applied Mathematics and Informatics, Moscow State University Tashkent Branch, UzbekistanRustamjon S. MuradovHigher Mathematics Department, Namangan Institute of Engineering and Technology, Namangan, Uzbekistan

Calcutta Statistical Association Bulletinjournal2020en

ABI

Abstract

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

Topics

Statistical Methods and Inference Insurance, Mortality, Demography, Risk Management Statistical Methods and Bayesian Inference

Identifiers

DOI: 10.1177/0008068320971924

Citations and references

Cited by 2 14 references

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