This paper considers the simple step-stress model from the Marshall-Olkin generalized exponential distribution when there is time constraint on the duration of the experiment. The maximum likelihood equations for estimating the parameters assuming a cumulative exposure model with lifetimes as the distributed Marshall Olkin generalized exponential are derived. The likelihood equations do not lea...

If past treatment assignments are unmasked, selection bias may arise even in randomized controlled trials. The impact of such bias can be measured by considering the type I error probability. In case of a normally distributed outcome, there already exists a model accounting for selection bias that permits calculating the corresponding type I error probabilities. To model selection bias for tria...

In this paper, the geometric distribution parameter is estimated under a type-I censoring scheme by means of Bayesian estimation approach. The Beta and Kumaraswamy informative priors, as well five loss functions are used for purpose. Expressions Bayes estimators risks derived Squared Error Loss Function (SELF), Quadratic (QLF), Precautionary (PLF), Simple Asymmetric (SAPLF), DeGroot (DLF) using...

A new life performance index is proposed for evaluating the quality of lifetime products. The maximum likelihood estimation method and Bayesian approaches using informative non-informative prior distributions are utilized to infer parameters Weibull distribution under a Type-I hybrid censoring scheme. Monte Carlo simulation results show that two outperform in terms measures relative bias, mean ...

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...

Modern cancer treatments have substantially improved cure rates and have generated a great interest in and need for proper statistical tools to analyze survival data with non-negligible cure fractions. Data with cure fractions are often complicated by dependent censoring, and the analysis of this type of data typically involves untestable parametric assumptions on the dependence of the censorin...

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...

For both deterministic or stochastic regressors, as well as parametric nonlinear or linear regression functions, we prove the weak consistency of the coefficient estimators for the Type I censored quantile regression model under different censoring mechanisms with censoring points depending on the observation index (in a nonstochastic manner) and a weakly dependent error process. Our argumentat...