Nonparametric estimation of survival functions for incomplete observations when the life time distribution is proportionally related ot the censoring time distribution

Nader Baradaran Ebrahimi · Communication in Statistics- Theory and Methods · 1985

Let X1, X2…,Xn be a random sample from [ILM0001] and let Y1, …,Yn be a random sample from [ILM0002]. Then instead of observing a complete sample X1,…Xn, we can only observe the pairs Zi. = min(Xi.,Yi) and [ILM0003] In this paper, we consider estimation of survival function [ILM0004] when [ILM0005], where β is an unknown positive real number.

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