Article

On Estimation of Conditional Distribution Function under Dependent Random Right Censored Data

A. A. AbdushukurovInstitute of Mathematics National University of Uzbekistan VUZ Gorodok, Tashkent, 100174 UzbekistanRustamjon S. MuradovDpt. Probability Theory and Mathematical Statistics National University of Uzbekistan VUZ Gorodok, Tashkent, 100174 Uzbekistan

Journal of Siberian Federal University Mathematics & Physicsjournal2014en

ABI

Abstract

In this article we study simple integral-type estimator of distribution function under random right censored observations at fixed covariate values, where the dependence between a life time and a censoring variable may expressed by a given Archimedean copula. We prove an almost sure asymptotic representation which provides a key tool for obtaining weak convergence result for estimator.

Topics

Statistical Methods and Inference Bayesian Methods and Mixture Models Advanced Statistical Methods and Models

Identifiers

DOI: 10.17516/1997-1397-2014-7-4-409-416

Citations and references

Cited by 5 7 references

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