# Statistical Inference for the Reliability Functions of a Family of Lifetime Distributions based on Progressive Type II Right Censoring

## DOI:

https://doi.org/10.6092/issn.1973-2201/7494## Keywords:

Progressive type II right censoring, Uniformly minimum variance unbiased estimation, Maximum likelihood estimation, Invariantly optimal estimator, Testing procedures## Abstract

In this article, a general family of lifetime distributions is considered under progressive type II right censoring. The classical point estimation and testing procedures are developed for reliability function and stress-strength reliability. The uniformly minimum variance unbiased, maximum likelihood and invariantly optimal estimators are considered. Testing procedures are developed for the hypotheses related to scale parameter, reliability and stress-strength reliability functions. A Monte Carlo simulation study is performed for comparison of various estimators developed. Finally, the use of proposed estimators is shown in an illustrative example.

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*Statistica*,

*78*(1), 81–101. https://doi.org/10.6092/issn.1973-2201/7494

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