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...

Abstract In this paper, we consider Kumaraswamy-G distributions and derive a Uniformly Minimum Variance Unbiased Estimator (UMVUE) Maximum Likelihood (MLE) of the two measures reliability, namely R ( t ) = P X > Y under Type II censoring scheme sampling Bartholomew (1963). We also develop interval estimates reliability measures. A comparative study different methods point estimation has been...

In this paper, we proposed the Bayesian estimation for parameter and reliability function of exponentiated gamma distribution under progressive type-II censored samples. The Bayes estimate are derived assumption independent prior by three different approximation methods namely Lindley’s approximation, Tierney-Kadane Markov Chain Monte Carlo methods. Further, comparison estimators with correspon...

Censoring is very common in life tests in the past several decades; the experimenter may be unable to obtain complete information on failure times of all experimental items. For this reason, Aggarwalla [1] suggested a useful type of censoring, namely, a progressively Type I interval censored data, which is a union of Type I interval and progressive censoring. This method of lifetime data collec...

Abstract This paper considers optimum plans for failure-step stress partially accelerated life tests with two stress levels under type-II censoring assuming Weibull distribution as a lifetime model. The optimum test plans determine the optimum proportion of test units failing at each stress according to a certain optimality criterion. The D-optimality criterion is considered. Some numerical ill...

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...