In this paper, a reliability sampling plan under progressively type-1 interval censoring is proposed when the lifetime of products follows the Pareto distribution of second kind. We use the maximum likelihood estimator for the median life and its asymptotic distribution. The cost model is proposed and the design parameters are determined such that the given producer’s and the consumer’s risks a...

For a general class of distributions some characterizations through the properties of conditional expectations of order statistics and progressively TypeII censored order statistics are given. Let X1 n X2 n Xn n be the order statistics of the sample X1 X2 Xn from a continuous distribution and XR 1 m n X R 2 m n X R m m n be the progressively Type-II censored order statistics with the progressiv...

Constant-stress procedure based on parametric lifetime distribution and model is often used for accelerated life testing in product reliability experiment. Maximum likelihood estimation is the typically statistical inference method. This paper presents a new inference method, named random variable transformation (RVT) method for Weibull constant-stress accelerated life test with progressively T...

This article deals with the Bayesian inference of unknown parameters of the progressively censored Weibull distribution. It is well known that for a Weibull distribution, while computing the Bayes estimates, the continuous conjugate joint prior distribution of the shape and scale parameters does not exist. In this article it is assumed that the shape parameter has a log-concave prior density fu...

108 Reliability estimation in Pareto-I distribution based on progressively type II censored sample with binomial removals Ilhan USTA 1, *, Hanefi Gezer 2 1Doctor of Philosophy, Associate Professor, Department of Statistics, Faculty of Science, Anadolu University, Eskisehir, Turkey 2Master of Statistics, Faculty of Science, Anadolu University, Eskisehir, Turkey Abstract: In this study, we deal w...

A hybrid censoring scheme is a mixture of type I and type II censoring schemes. When $n$ items are placed on a life test, the experiment terminates under type I or type II hybrid censoring scheme if either a pre-fixed censoring time T or the rth (1<=r<=n&nbsp;is fixed) failure is first or later observed, respectively. In this paper, we investigate the decomposition of entropy in both hybrid cen...

Previous studies have mostly considered the competing risks to be independent even when the interpretation of the failure modes implies dependency. This paper studies the dependent competing risks model from Gompertz distribution under Type-I progressively hybrid censoring scheme. We derive the maximum likelihood estimations of the model parameters, and then the asymptotic likelihood theory and...

Accelerated life tests are used to explore the lifetime of extremely reliable items by subjecting them elevated stress levels from stressors cause early failures, such as temperature, voltage, pressure, and so on. The alpha power inverse Weibull (APIW) distribution is great significance practical applications due its appealing characteristics, flexibilities in probability density function hazar...

The Copula approach can be used to describe the dependence structure between variables. In this paper, by using a Bivariate Clayton copula, we discuss statistical analysis of simple step-stress accelerated dependent competing failure model under progressively Type-II censoring sample. With assumption cumulative exposure, Bayesian estimations parameters are derived. Based on Monte-Carlo simulati...