Multicomponent stress–strength reliability (MSR) is explored for the system with Burr XII distributed components under Type-II censoring. When distributions of strength and stress variables have common or unequal inner shape parameters, existence uniqueness maximum likelihood estimators are investigated established. The associated approximate confidence intervals obtained by using asymptotic no...

In this article, oneand two-sampleBayesian prediction intervals based on progressively Type-II censored data are derived. For the illustration of the developed results, the exponential, Pareto, Weibull and Burr Type-XII models are used as examples. Some of the previous results in the literature such as Dunsmore (Technometrics 16:455–460, 1974), Nigm andHamdy (Commun Stat TheoryMethods 16:1761–1...

Based on independent progressive type-II censored samples from two-parameter Burr-type XII distributions, various point and interval estimators of δ=P(Y<X) were proposed when the strength variable was subjected to step–stress partially accelerated life test. The computed maximum likelihood Bayesian under symmetric asymmetric loss functions. estimations constructed approximate, bootstrap-P, b...

In survival analysis applications, the failure rate function may frequently present a unimodal shape. In such case, the log-normal or log-logistic distributions are used. In this paper, we shall be concerned only with parametric forms, so a location-scale regression model based on the Burr XII distribution is proposed for modeling data with a unimodal failure rate function as an alternative to ...