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Annals of Data Science

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09-09-2019

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

Authors: Ayush Tripathi, Umesh Singh, Sanjay Kumar Singh

Published in: Annals of Data Science | Issue 2/2021

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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.

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Title: Inferences for the DUS-Exponential Distribution Based on Upper Record Values
Authors: Ayush Tripathi
Umesh Singh
Sanjay Kumar Singh
Publication date: 09-09-2019
Publisher: Springer Berlin Heidelberg
Published in: Annals of Data Science / Issue 2/2021
Print ISSN: 2198-5804
Electronic ISSN: 2198-5812
DOI: https://doi.org/10.1007/s40745-019-00231-6

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