In this paper, the problem of predicting times to failure of units censored in multiple stages of progressively hybrid censoring for the proportional hazards family is considered. We discuss different classical predictors. The best unbiased predictor ($BUP$), the maximum likelihood predictor ($MLP$) and conditional median predictor ($CMP$) are all derived. As an example, the obtained results ar...

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...

In the literature of life-testing, general progressive censoring has been studied extensively. But, all the results have been developed under the key assumption that the units undertest are independently distributed. In this paper, we study general progressively Type-II censored order statistics arising from identical units under test which are jointly distributed according to an Archimedean co...

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...

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...

The comparative life testing for products from different production lines under joint censoring schemes has received some attention over the past few years. Mondal and Kundu recently used balanced progressive type-II scheme to discuss exponential Weibull populations. This paper implements with a hybrid type-I known as (BJPHCS). Lomax products’ model formulation two of BJPHCS is discussed. param...