Title:
Bivariate extension of bathtub-shaped distribution

dc.contributor.authorPuneet Kumar Gupta
dc.contributor.authorPramendra Singh Pundir
dc.contributor.authorVikas Kumar Sharma
dc.contributor.authorM. Mesfioui
dc.date.accessioned2026-02-07T10:59:02Z
dc.date.issued2022
dc.description.abstractModeling of bathtub-shaped hazard rate function commonly arises in reliability and survival analyses. The present article introduces a bivariate extension of the Chen distribution that has bathtub-shaped hazard function. The proposed distribution has closed-form expressions for the joint survival function and conditional distributions. Several properties of the proposed distribution such as joint moments, marginals and conditional distributions are discussed. We obtain maximum likelihood estimators for estimating the unknown parameters using the expectation-maximization algorithm. At the end, application of the proposed distribution is illustrated by means of a real-life application. © 2022, The Author(s), under exclusive licence to Society for Reliability and Safety (SRESA).
dc.identifier.doi10.1007/s41872-022-00193-4
dc.identifier.issn25201352
dc.identifier.urihttps://doi.org/10.1007/s41872-022-00193-4
dc.identifier.urihttps://dl.bhu.ac.in/bhuir/handle/123456789/40793
dc.publisherSpringer
dc.subjectBathtub
dc.subjectBivariate distribution
dc.subjectChen distribution
dc.subjectConcordance ordering
dc.subjectConditional distribution
dc.subjectEM algorithm
dc.subjectMarginal distribution
dc.subjectMaximum likelihood estimation
dc.subjectMoments
dc.subjectSurvival copula
dc.titleBivariate extension of bathtub-shaped distribution
dc.typePublication
dspace.entity.typeArticle

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