Some algebraic properties of Archimedean Copula functions and their applications in the statistical estimation of the survival function

Year 2016, Volume: 4 Issue: 3, 88 - 98, 30.09.2016

Abdushukurov Akhmedovich Muradov Rustamjon

https://izlik.org/JA34PZ35WW

Abstract

In this paper we study some algebraic properties of
Archimedean copulas and simple smoothed estimator of distribution function
under random right censored observations in the presence of covariate. 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.

Keywords

Archimedean copulas , smoothed estimator , asymptotic representation

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