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Power Generalized Weibull Distribution Based on Generalised Order Statistics
Volume 16, Issue 3 (2018), pp. 621–646
Devendra Kumar   Neetu Jain  

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https://doi.org/10.6339/JDS.201807_16(3).00010
Pub. online: 4 August 2022      Type: Research Article      Open accessOpen Access

Published
4 August 2022

Abstract

The power generalized Weibull distribution due to Bagdonovacius and Nikulin (2002) is an alternative,and always provides better fits than the exponentiated Weibull family for modeling lifetime data. In this paper, we consider the generalized order statistics (GOS) from this distribution. We obtain exact explicit expressions as well as recurrence relations for the single, product and conditional moments of generalized order statistics from the power generalized Weibull distribution and then we use these results to compute the means and variances of order statistics and record values for samples of different sizes for various values of the shape and scale parameters.

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Keywords
Power generalized Weibull distribution generalized Order statistics Recurrence relations Single and product moments

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  • Online ISSN: 1683-8602
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