INFERENCE AND PREDICTION OF ORDER STATISTICS BASED ON K-RECORD VALUES FROM A WEIBULL DISTRIBUTION

Abstract

In this paper, the problem of estimation of parameters and prediction of order statistics from a future sample based on upper k-record values arising from a two parameter Weibull distribution is considered. The maximum likelihood estimators and the Bayes estimators are obtained based on observed upper k-record values. Bayesian point predictors of the order statistics from a future sample and its two-sided equi-tailed prediction intervals are also derived. Finally, a numerical illustration is considered for exemplifying the proposed inferential procedures developed in this paper.