6th Seminar on Copula theory and its applications , 2021-03-09

Title : ( Product-Limit Estimator of Left Truncated and Right Censored Data Based on Copula Function )

Authors: Hadi Jabbari Nooghabi , Amir hossein Shabani ,
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Abstract

Suppose that the lifetimes, censorship and truncation variables are dependent according to a copula function. We study the large sample behaviour of TJW product-limit and cumulative hazard function estimators. Finally, using a simulation study, we examine the asymptotic properties, numerically and use the results of this paper in a real dataset.

Keywords

, Bias, copula function, random left truncation, random right censorship model, uniform strong consistency.