On estimating the parameters of the Burr XII model under progressive type-I interval censoring. Issue 16 (2nd November 2017)

• Record Type: Journal Article
• Authors: Arabi Belaghi, R.; Noori Asl, M.; Singh, Sukhdev
• Is Part Of: Journal of statistical computation and simulation. Volume 87:Issue 16(2017)
• Page Start: 3132
• Page End: 3151
• Publication Date: 2017-11-02
• Subjects: Balanced loss -- Bayesian estimation -- HPD interval -- maximum likelihood estimation -- inspection times -- SEM algorithm -- optimal censoring; Mathematical statistics -- Data processing -- Periodicals; Digital computer simulation -- Periodicals; 519.5028505
• DOI: 10.1080/00949655.2017.1359600
• Languages: English
• ISSNs: 0094-9655

Abstract

ABSTRACT: This paper deals with the problem of estimating unknown parameters of the Burr XII distribution under classical and Bayesian approaches when samples are observed under progressive type-I interval censoring. Under classical approach we employ the stochastic expectation maximization algorithm to obtain maximum likelihood estimators for the unknown parameters and also compute associated interval estimates. Further under Bayesian approach we obtain Bayes estimators with respect to different symmetric, asymmetric and balanced loss functions. In this regard we use Tierney–Kadane and Metropolis–Hastings (MH) algorithm. For illustration purpose we analyse a real data set and conduct a Monte Carlo simulation study to observe the performance of the proposed estimators. Finally we present a discussion on inspection times and optimal censoring.