In this article, we consider the problem of estimating the stress-strength reliability $Pr (X > Y)$ based on upper record values when $X$ and $Y$ are two independent but not identically distributed random variables from the power hazard rate distribution with common scale parameter $k$. When the parameter $k$ is known, the maximum likelihood estimator (MLE), the approximate Bayes estimator and ...

The process performance index (PPI) can be a simple metric to connect the conforming rate of products. properties PPI have been well studied for normal distribution and other widely used lifetime distributions, such as Weibull, Gamma, Pareto distributions. Assume that quality characteristic product follows power-normal distribution. Statistical inference procedures are established. maximum like...

In this paper we estimate R = PfX < Yg when X and Y are independent random variables following the Peng-Yan extended Weibull distribution. We find maximum likelihood estimator of its asymptotic This distribution is used to construct confidence intervals. case equal shape parameters, derive exact intervals, too. A procedure for deriving bootstrap-p intervals presented. The UMVUE variance deri...

This paper describes existing methods and develops new methods for constructing simultaneous confidence bands for a cumulative distribution function (cdf). Our results are built on extensions of previous work by Cheng and Iles (1983, 1988). Cheng and Iles use Wald statistics with (expected) Fisher information and provide different approaches to find one-sided and two-sided simultaneous confiden...

This paper is concerned with the estimation of Weibull generalized exponential distribution (WGED) parameters based on adaptive Type-II progressive (ATIIP) censored sample. Maximum likelihood (MLE), maximum product spacing (MPS), and Bayesian Markov chain Monte Carlo (MCMC) methods have been determined to find best method. The simulation used compare three ATIIP-censored sample, also, we made a...

This study deals with point and interval estimations for the scale shape parameters of component lifetime distribution a k-component series system when lifetimes are assumed to be independently identically Erlang-truncated exponential distributions. It is that components exposed progressive Type-II censoring scheme. Each failure in this plan random subject binomial distribution. Parameter obtai...

In this paper, we study the inference of multicomponent stress–strength reliability (MSSR) based on Chen distribution using progressively Type-II censored data. Both stress and strength variables follow with a common second shape parameter. The maximum likelihood estimates asymptotic confidence intervals MSSR are developed. bootstrap interval is also constructed. Bayesian estimation obtained un...

Non-Homogeneous Gamma Process (NHGP) is characterized by an arbitrary trend function and a gamma renewal distribution. In this paper, we estimate the confidence intervals of model parameters of NHGP via two parametric bootstrap methods: simulation-based approach and re-sampling-based approach. For each bootstrap method, we apply three methods to construct the confidence intervals. Through simul...