The Moore and Bilikam family includes lifetime distributions, hence there is a need for meticulous investigation of the proposed family. We evaluate different estimation procedures both parameters reliability function comprehensively, including maximum likelihood, Bayesian E-Bayesian methods. methods are compared via simulation data, whereas results Burr XII sub-model reported. Based on approac...

In this article, the estimation of parameters based on progressively type-II censored sample with random removals from the Weibull distribution is studied. The number of units removed at each failure time is assumed to follow a Beta-binomial distribution. Based on this type of censored sample, the maximum likelihood (ML) and approximate maximum likelihood (AML) estimators for the parameters of ...

We will use the joint entropy of progressively censored order statistics in terms of an incomplete integral of the hazard function, and provide a simple estimate of the joint entropy of progressively Type-II censored data, has been introduced by Balakrishnan et al. (2007). Then We construct a goodness-of-fit test statistic based on Kullback-Leibler information for normal distribution. Finally, ...

In this paper, estimations of the parameter and acceleration factor Burr–Hatke exponential distribution in partially accelerated life tests under progressively type II censoring are investigated. By using typical maximum likelihood methods Bayesian method, point obtained. Based on asymptotic normality Delta approximate confidence intervals established Fisher information matrix. The percentile b...

In this article, we propose two new scale invariant test statistics when the available data are subject to progressively Type-II censoring. The proposed tests based on Gini index of spacings. It is observed thorough extensive Monte Carlo simulations that quite powerful in compare similar existing goodness-of-fit studied by Balakrishnan et al. and Wang. We also illustrate method here using a rea...

The two parameters of Exponential-Rayleigh distribution were estimated using the maximum likelihood estimation method (MLE) for progressively censoring data. To find values these scale real data COVID-19 which was taken from Iraqi Ministry Health and Environment, AL-Karkh General Hospital. Then Chi-square test utilized to determine if sample (data) corresponded with (ER). Employing nonlinear me...

In medical studies or in reliability analysis, it is quite common that the failure of any individual or any item may be attributable to more than one cause. Moreover, the observed data are often censored. Hybrid censoring scheme which is the mixture of conventional Type-I and Type-II censoring schemes is quite useful in life-testing or reliability experiments. Recently Type-II progressive censo...

The aim of this article is two fold. First we discuss the maximum likelihood estimators of the unknown parameters of a two-parameter Birnbaum-Saunders distribution when the data are progressively Type-II censored. The maximum likelihood estimators are obtained using the EM algorithm by exploiting the property that the BirnbaumSaunders distribution can be expressed as an equal mixture of an inve...