Estimation and Reconstruction Based on Left Censored Data from Pareto Model

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 simulation study are given for illustrative purposes. Keywords. Bayes estimator, best unbiased reconstructor, conditional median reconstructor, highest conditional density, left censoring, maximumlikelihood reconstructor, reconstruction interval.