Inference and Prediction of Order Statistics Based On K-Record Values from A Weibull Distribution

By : Laji Muraleedharan, Manoj Chacko

Page No: 86-102

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.

Authors :
Laji Muraleedharan and Manoj Chacko
Department of Statistics, University of Kerala, Trivandrum, India.
 

DOI: https://doi.org/10.32381/IAPQRT.2023.47.01-02.5