In many life-testing and reliability studies, the experimenter might not always obtain complete information on failure times for all experimental units. Among the different censoring schemes, the progressive censoring scheme has received a considerable attention in the last few years. The aim of this paper is simplifying the entropy of progressively Type II censored samples. We propose an indir...

We consider estimation of the joint distribution of multivariate survival times ~ T = (T1, . . . , Tk), which are subject to right censoring by a common censoring variable C. Two estimators are proposed: an initial inverse-probability-ofcensoring weighted (IPCW) estimator, and a 1-step estimator. Both estimators incorporate information on available time-independent and time-dependent prognostic...

In this article, we adopted the classical and Bayesian approach to develop problem of estimation prediction inverse Lomax distribution under Type-I hybrid censored scheme. Firstly, presented maximum likelihood estimators Bayes unknown parameters consideration squared error loss equation. approach, used Markov chain Monte-Carlo method by applied importance sampling technique. Asymptotic confiden...

Abstract This paper investigates a simple step-stress accelerated lifetime test (SSALT) model for the inferential analysis of exponential competing risks data. A generalized type-I hybrid censoring scheme is employed to improve efficiency and controllability test. Firstly, MLEs parameters are established based on cumulative exposure (CEM). Then conditional moment generating function (MGF) unkno...

We extend Cox’s classical regression model to accomodate partially informative censored data. In this type of data, each observation is the minimum of one lifetime and two censoring times. The survival function of one of these censoring times is a power of the survival function of the lifetime. We call this the informative censoring time. The distribution of the other censoring time has no rela...

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...

Personalized cancer therapy requires clinical trials with smaller sample sizes compared to trials involving unselected populations that have not been divided into biomarker subgroups. The use of exponential survival modeling for survival endpoints has the potential of gaining 35% efficiency or saving 28% required sample size (Miller, 1983), making personalized therapy trials more feasible. Howe...

In life history studies, interest often lies in the analysis of the interevent, or gap times and the association between event times. Gap time analyses are challenging however, even when the length of follow-up is determined independently of the event process, because associations between gap times induce dependent censoring for second and subsequent gap times. This article discusses nonparamet...