Analyzing time to event data arises in a number of fields such as Biology and Engineering. A common feature this is that, the exact failure for all units may not be observable. Accordingly, several types censoring were presented. Progressive allows randomly removed before terminal point experiment. Marshall-Olkin bivariate lifetime distribution was first introduced 1967 using exponential distri...

An expectation–maximization (EM) likelihood estimation procedure is proposed to obtain the maximum estimates of parameters in a mixture distributions model based on type-I hybrid censored samples when proportions are unknown. Three bootstrap methods applied construct confidence intervals parameters. Monte Carlo simulations conducted evaluate performance methods. Simulation results show that can...

By running the life tests at higher stress levels than normal operating conditions, accelerated life testing quickly yields information on the lifetime distribution of a test unit. The lifetime at the design stress is then estimated through extrapolation using a regression model. In constant-stress testing, a unit is tested at a fixed stress level until failure or the termination time point of ...

Consider estimating data of failure times under step-stress partially accelerated life tests based on adaptive Type-I hybrid censoring. The mathematical model related to the lifetime test units is assumed follow Rayleigh distribution. point and interval maximum-likelihood estimations are obtained for distribution parameter tampering coefficient. Also, work conducted a traditional censoring plan...

Progressive Type-II censoring was introduced by Cohen (1963) and has since been the topic of much research. The question stands whether it is sensible to use this sampling plan by design, instead of regular Type-II right censoring. We introduce an asymptotic progressive censoring model, and find optimal censoring schemes for location-scale families. Our optimality criterion is the determinant o...

The combination of generalization Type-I hybrid censoring and Type-II schemes, scheme creates a new called Unified scheme. Therefore, in this study, the E-Bayesian estimation parameters inverse Weibull (IW) distribution is obtained under unified scheme, efficiency proposed method was compared with Bayesian estimator using Monte Carlo simulation real data set.

Extending the model of progressive Type-II censoring, an adaption process is introduced. It allows to choose the next censoring number taking into account both the previous censoring numbers and the previous failure times. After deriving some distributional results, it is shown that maximum likelihood estimators coincide with those in deterministic progressive Type-II censoring. Finally, infere...

Abstract: This article focuses on the study of mixture density under Type I censoring scheme by taking Maxwell distribution as a life time model. In this paper we sculpt a heterogeneous population by means of two components mixture of the Maxwell distribution. We derive the maximum likelihood estimators using type-I censored data and also their variances matrix. The problem with ML estimators i...