Moments and estimation of reduced Kies distribution based on progressive type-II right censored order statistics

dc.contributor.authorKuamr, Devendra
dc.contributor.authorDey, Sanku
dc.contributor.authorNassar, Mazen.
dc.date.accessioned2023-04-24T11:03:21Z
dc.date.available2023-04-24T11:03:21Z
dc.date.issued2019
dc.description.abstractBased on progressive type-II censored samples, we rst derive the re- currence relations for the single and product moments and then use these results to compute the means and variances of reduced Kies dis- tribution (RKD), a new distribution, recently introduced by [21]. Next, we obtain the maximum likelihood estimators of the unknown param- eter and the approximate con dence interval of the RKD. Finally, we consider Bayes estimation under the symmetric and asymmetric loss functions using gamma prior for the shape parameter. We have also derived two-sided Bayes probability interval (TBPI) and the highest posterior density (HPD) credible intervals of this distribution. Monte Carlo simulations are performed to compare the performances of the proposed methods, and a data set has been analyzed for illustrative purposes.en_US
dc.identifier.urihttp://hdl.handle.net/123456789/967
dc.language.isoenen_US
dc.publisherHacettepe Journal of Mathematics and Statisticsen_US
dc.subjectProgressive type-II right censored order statistics, Single moments, Product moments, Recurrence relations, Reduced Kies distribution.en_US
dc.titleMoments and estimation of reduced Kies distribution based on progressive type-II right censored order statisticsen_US
dc.typeArticleen_US
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