Abstract. In the model of progressive type II censoring, point and interval estimation as well as relations for single and product moments are considered. Based on two-parameter exponential distributions, maximum likelihood estimators (MLEs), uniformly minimum variance unbiased estimators (UMVUEs) and best linear unbiased estimators (BLUEs) are derived for both location and scale parameters. So...

Competing risks data usually arises in studies in which the death or failure of an individual or an item may be classified into one of T≥2 mutually exclusive causes. In this paper, we will study the competing risks model when the data is progressively first-failure-censored. Based on this type of censoring, we derive the maximum likelihood estimators (MLE's) for the unknown parameters. Approxim...

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...

This paper deals with the Bayesian inference of the linear hazard rate (LHR) distribution under a progressively censoring scheme. A unified treatment of both Type I and Type II censoring is presented under independent gamma priors for the parameters, that yields the posteriors as mixtures of gamma. The priors are motivated from a probability matching viewpoint. Along with marginal inference and...

In this paper, classical and Bayesian estimation for the parameters reliability function generalized logarithmic transformation exponential (GLTE) distribution has been proposed when life-times are progressively censored. The maximum likelihood estimator of unknown their corresponding obtained under setup. Bayes estimators symmetric (squared error) asymmetric (LINEX general entropy) loss functi...

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...