In this paper we consider Selberg-type square matrices integrals with focus on Kummer-beta types I & II integrals. For generality of the results for real normed division algebras, the generalized matrix variate Kummer-beta types I & II are defined under the abstract algebra. Then Selberg-type integrals are calculated under orthogonal transformations.

In this paper, we discuss dierent predictors of times to failure of units censored in multiple stages in a progressively censored  sample from proportional hazard rate models. The maximum likelihood predictors, best unbiased predictors and conditional median predictors are considered. We also consider Bayesian point predictors for the times to failure of units. A numerical example and a Monte C...

Consider estimating data of failure times under step-stress partially accelerated life tests based on adaptive Type-I hybrid censoring. The mathematical model related to the lifetime test units is assumed follow Rayleigh distribution. point and interval maximum-likelihood estimations are obtained for distribution parameter tampering coefficient. Also, work conducted a traditional censoring plan...

ed on a progressively type-II censored sample from the exponential distribution with unknown location and scale parameter, confidence bands are proposed for underlying function by using regions parameters Kolmogorov–Smirnov type statistics. Simple explicit representations boundaries coverage probabilities of analytically derived, performance is compared in terms band width area means data examp...

A jointly censored sample is a very useful sampling technique in conducting comparative life tests of the products, its efficiency appears permitting selection two samples from manufacturing lines at same time and life-testing experiment. This article presents estimation information joint generalized Pareto distributions parameters using Type-II progressive censoring scheme, which carried out w...

In this paper, we focus on the parametric inference based Tampered Random Variable (TRV) model for simple step-stress life testing (SSLT) using Type-II censored data. The baseline lifetime of experimental units, under normal stress conditions, follows Gumbel distribution with $\alpha$ and $\lambda$ being shape scale parameters, respectively. Maximum likelihood estimator (MLE) Bayes parameters a...

This paper focuses on the problem of the estimation of the cumulative hazard function of a distribution on a general complete separable metric space when the data points are subject to censoring by an arbitrary adapted random set. A problem involving observability of the estimator proposed in [8] and [9] is resolved and a functional central limit theorem is proven for the revised estimator. Sev...