On three-parameter generalized exponential distribution

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dc.contributor.authorBasu S.
dc.contributor.authorKundu D.
dc.date.accessioned2025-01-13T07:09:31Z
dc.date.available2025-01-13T07:09:31Z
dc.date.issued2024
dc.description.abstractIn this article, we consider the estimation of the three-parameter generalized exponential distribution. In presence of the unknown location parameter the usual maximum likelihood estimators do not exist for (Formula presented.) The maximum product of spacings method serves as good alternative since it always exists and yields consistent estimators in the entire parametric space. We develop the asymptotic distribution of the proposed estimators along-with a detailed discussion about the computational intricacies involved in implementing the product of spacing method. Extensive simulations have been performed to demonstrate the effectiveness of the proposed method for ? in the range (0, 1), in addition to a comparative study with some standard techniques known to provide consistent estimators, even for (Formula presented.) Furthermore, two real data sets have been analyzed to demonstrate the applicability of the proposed method. � 2023 Taylor & Francis Group, LLC.
dc.identifier.doi10.1080/03610918.2023.2226468
dc.identifier.issn3610918
dc.identifier.urihttps://dl.bhu.ac.in/ir/handle/123456789/3745
dc.language.isoen
dc.publisherTaylor and Francis Ltd.
dc.subjectMaximum product of spacings
dc.subjectNon-regular estimable condition
dc.subjectPercentile bootstrap intervals
dc.titleOn three-parameter generalized exponential distribution
dc.typeArticle
journal.titleCommunications in Statistics: Simulation and Computation
journalvolume.identifier.volume53

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