In this paper, we discuss the statistical inference on the unknown parameters and reliability function of type-II extreme value (EVII) distribution when the observed data are progressively type-II censored. By applying EM algorithm, we obtain maximum likelihood estimates (MLEs). We also suggest approximate maximum likelihood estimators (AMLEs), which have explicit expressions. We provide Bayes ...

In this paper, the statistical inference of the unknown parameters of a twoparameter inverse Weibull (IW) distribution based on the progressive Type-II censored sample has been considered. The maximum likelihood estimators cannot be obtained in explicit forms, hence the approximate maximum likelihood estimators are proposed, which are in explicit forms. The Bayes and generalized Bayes estimator...

Based on progressively Type-II censored samples, the empirical estimators of reliability performances for Burr XII distribution are researched under LINEX error loss. Firstly, we obtain the Bayes estimators of the reliability performances. Secondly, different from the predecessor, the empirical Bayes estimators of the reliability performances are derived where hyper-parameter is estimated using...

In this work, a three-parameter Weibull Inverse Rayleigh (WIR) distribution is proposed. The new WIR an extension of one-parameter that incorporated transformation the and Log-logistic as quantile function. statistical properties such function, order statistic, monotone likelihood ratio property, hazard, reverse hazard functions, moments, skewness, kurtosis, linear representation proposed were ...

Generalized Bayes is a Bayesian study based on learning rate parameter. This paper considers generalized estimation to the effect of parameter results joint censored sample type-II exponential populations. Squared error, Linex, and general entropy loss functions are used in approach. Monte Carlo simulations were performed assess how well different approaches perform. The simulation compares est...

Abstract The article presents a collective risk model for the insurance claims. objective is to estimate premium, which defined as functional specified up unknown parameters. For this purpose, Bayesian methodology, combines prior knowledge about certain parameters with in form of random sample, has been adopted. generalised Bregman loss function considered. In effect, results can be applied num...

An impressive array of paper has been devoted to the reliability properties and the hazard rates of the order statistics along with IFR (increasing failure rate) and DFR (decreasing failure rate) property. However, studies relating to the Bayesian estimation on the repairable system along with IFR property of the failure time distribution and on the repair time distributions have received compa...