Randomly censored survival data appear in a wide variety of applications which the time until occurrence certain event is not completely observable. In this paper, we assume that statistician observes possibly along with censoring indicator. setting, study class M-estimators bounded influence function, spirit infinitesimal approach to robustness. We outline main asymptotic properties robust and...

Interval-censored data consist of n pairs of observations (k,ri), i =1, ...,n, where h < r{. We either observe the exact survival time X if Zj = r* or only knowX G (k,ri) otherwise. We established the asymptotic normality of the nonparametric MLEof a survival function S(t) (= Pr(X > t) with such interval-censored data and presentan estimate of the asymptotic variance of the MLE....

In this paper, based on a left censored data from the twoparameter Pareto distribution, maximum likelihood and Bayes estimators for the two unknown parameters are obtained. The problem of reconstruction of the past failure times, either point or interval, in the left-censored set-up, is also considered from Bayesian and non-Bayesian approaches. Two numerical examples and a Monte Carlo simulatio...

The reliability data is getting used to monitor and improve the quality of products or services. Nowadays, most of products or services are the results of processes with dependent stages referred to as multi-stage process. In these processes, the quality characteristics are affected by the quality characteristics in the previous stages, called as cascade property. In some cases, it is not possi...

The main classes of statistical treatment of below-detection limit (left-censored) environmental data for the determination of basic statistics that have been used in the literature are substitution methods, maximum likelihood, regression on order statistics (ROS), and nonparametric techniques. These treatments, along with using all instrument-generated data (even those below detection), were e...