In this article, we consider the classical and Bayesian estimation of the multicomponent
stress–strength reliability (MSSR) for the Burr XII distribution based on progressively first …

A new extension of the exponential distribution, proposed by Nadarajah and Haghighi
(Statistics 45, 543–558 (2011)), is an alternative to the gamma, Weibull and generalized …

Let X and Y have two-parameter Burr XII distributions. The maximum-likelihood estimator of
δ= P (X< Y) is studied under the progressively first failure-censored samples. Three …

This article deals with progressive first-failure censoring, which is a generalization of
progressive censoring. We derive maximum likelihood estimators of the unknown …

It is extremely frequent for systems to fail in their demanding operating environments in
many real-world contexts. When systems reach their lowest, highest, or both extreme …

Bayes and frequentist estimators are obtained for the two-parameter Gompertz distribution
(GD), as well as the reliability and hazard rate functions, using progressive first-failure …

It is highly common in many real-life settings for systems to fail to perform in their harsh
operating environments. When systems reach their lower, upper, or both extreme operating …

An important topic in the manufacturing industries is the assessing of the lifetime
performance. In this paper, it is supposed the lifetimes of products are independent and …

In this article, the estimation of the stress–strength reliability function δ= P (X> Y) for
generalized Maxwell failure distribution is considered. The Maximum-likelihood and …

Researchers can use many statistical tools to fit data, either simple or complex, based on the
likelihood. However, more parameters usually provide a smooth resolution, due to the order …