Abstract: This paper considers the estimation problem for the Burr type-X, when the lifetimes are collected under Type-II progressive censoring with random removals, where the number of units removed at each failure time follows a binomial distribution. We use the methods of maximum likelihood as well as the Bayes procedure to derive both point and interval estimators of the parameters. The exp...

Numerous studies have already been attempted to explore the reliability of systems considering mask data, though mass them has largely focused on basic series or parallel systems, where component failures are assumed follow an exponential Weibull distribution. However, most electrotonic products and made up numerous components integrated in parallel-series, series-parallel, other bridge hybrid ...

This report explains Weibull plotting and its rationale. It shows how the two Weibull parameter estimates are easily read off from the Weibull plot. The use of Weibull plotting is introduced first in the context of complete samples and then extended to two common forms of censoring: type I or multiple censoring and type II censoring. Two blank Weibull plotting templates are provided, one for a ...

A finite mixture of exponentiated Kumaraswamy Gompertz and Fréchet is developed discussed as a novel probability model. We study some useful structural properties the proposed To estimate model parameters under classical method, we use maximum likelihood estimation using progressive type II censoring scheme. Under Bayesian paradigm carried out with gamma priors censored samples squared error lo...

The Birnbaum–Saunders distribution is useful for modeling reliability data. In this paper we obtain adjusted profile maximum likelihood estimators for the Birnbaum–Saunders distribution shape parameter under type II data censoring. We consider the adjustments to the profile likelihood function proposed by Barndorff-Nielsen (1983), Cox and Reid (1987), Fraser and Reid (1995), Fraser et al. (1999...

Abstract The researchers, engineers, and physical experimenters may face difficulty to get a distribution that fits the failure data arising from certain systems. So, in this paper, new is introduced, named Poisson–logarithmic half-logistic distribution, based on parallel–series system’s times. Specific statistical properties are investigated for introduced distribution. Also, two real sets con...

Today, the reliability or quality practitioner always aims to shorten testing duration and reduce costs without neglecting efficient statistical inference. So, a generalized progressively Type-II hybrid censored mechanism has been developed in which experimenter prepays for usage of facility T units time. This paper investigates issue estimating model parameter, reliability, hazard rate functio...