Inferences for the DUS-Exponential Distribution Based on Upper Record Values

Ayush Tripathi (), Umesh Singh and Sanjay Kumar Singh
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Ayush Tripathi: Banaras Hindu University
Umesh Singh: Banaras Hindu University
Sanjay Kumar Singh: Banaras Hindu University

Annals of Data Science, 2021, vol. 8, issue 2, No 11, 387-403

Abstract: Abstract This article considers the problem of estimation of the parameter of DUS-exponential distribution based on upper records through classical as well as Bayesian procedures. Maximum likelihood estimator is calculated under the classical scheme and Bayes estimator is obtained under the squared error loss function by using MCMC technique. The performances of both the estimators are compared on the basis of their estimated mean squared errors. The asymptotic and HPD intervals for the unknown parameter is also calculated. In addition to that, the entropy of ith upper record and joint entropy based on m upper records are obtained for considered distribution. A real data set is considered to illustrate the suitability of the proposed methodology.

Keywords: DUS-exponential distribution; Upper record value; Squared error loss function; Bayesian estimation; Entropy; HPD interval (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s40745-019-00231-6

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