The NPMLE in the bivariate censoring model is not consistent. The problem is caused by the singly censored observations. In this paper we prove that the NPMLE based on interval censoring the singly censored observations is efficient for this reduced data and moreover if we let the width of the interval converge to zero slowly enough, then the NPMLE is also efficient for the original data. We ar...

Middle-censoring is considered as a modern general scheme of censoring. In this paper, we study the analysis of middle-censored data with Burr-XII distribution which is considered one of the most popular and flexible distributions for modeling stochastic events and lifetime for many products. The parameters are estimated by the maximum likelihood method and the Bayes estimation under gamma prio...

HSING-VI CHANG. Testing Overdispersion in Data With Censoring. (Under the direction of Chirayath M. Suchindran.) The term overdispersion refers to the situation that the variance of the outcome exceeds the nominal variance. Overdispersion in general has two effects. The first effect is that summary statistics have a larger variance than anticipated under the simple model. The second is a possib...

In this article, we consider statistical inferences about the unknown parameters of Lomax distribution basedon Adaptive Type-II Progressive Hybrid censoring scheme, scheme can save both total test time and cost induced by failure units increases efficiency analysis. The estimation is derived using maximum likelihood (MLE) Bayesian procedures. estimators are obtained based on symmetric asymmetri...

The aim of this study is to investigate different methods estimating the stress-strength reliability parameter, $\theta =P(Y<X)$, when strength (X) and stress (Y) are independent random variables taken from inverse Weibull distribution (IWD), with same shape parameter scale parameters. Based on Adaptive Type-II Hybrid progressive censored samples, we employ classical Bayesian approaches. In ...

In this article, the estimation of parameters and reliability hazard functions for Weibull inverted exponential (WIE) distribution is considered based on progressive first-failure censoring (PFFC) data. For non-Bayesian inference, maximum likelihood (ML) estimators are acquired; meanwhile, their existence verified. Via asymptotic normality ML delta method, corresponding confidence intervals (CI...