TY  - JOUR
T1  - Some algebraic properties of Archimedean Copula functions and their applications in the statistical estimation of the survival function
AU  - Akhmedovich, Abdushukurov
AU  - Rustamjon, Muradov
PY  - 2016
DA  - September
JF  - New Trends in Mathematical Sciences
PB  - Mustafa BAYRAM
WT  - DergiPark
SN  - 2147-5520
SP  - 88
EP  - 98
VL  - 4
IS  - 3
LA  - en
AB  - In this paper we study some algebraic properties ofArchimedean copulas and simple smoothed estimator of distribution functionunder random right censored observations in the presence of covariate. Wherethe dependence between a life time and a censoring variable may expressed by agiven Archimedean copula. We prove an almost sure asymptotic representationwhich provides a key tool for obtaining weak convergence result for estimator.
KW  - Archimedean copulas
KW  - smoothed estimator
KW  - asymptotic representation
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UR  - https://dergipark.org.tr/tr/pub/ntims/issue//519520
L1  - https://dergipark.org.tr/tr/download/article-file/637229
ER  -