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Statistical Inference for Inverted Kumaraswamy Distribution Based on Dual Generalized Order Statistics

Author(s)
G. R. AL-Dayian Statistics Department, Faculty of Commerce, AL-Azhar University (Girls' Branch), Cairo, Egypt
A. A. EL-Helbawy Statistics Department, Faculty of Commerce, AL-Azhar University (Girls' Branch), Cairo, Egypt
A. M. Abd AL-Fattah Statistics Department, Faculty of Commerce, AL-Azhar University (Girls' Branch), Cairo, Egypt
Abstract
In this paper, the shape parameters, reliability and hazard rate functions of the inverted Kumaraswamy distribution are estimated using maximum likelihood and Bayesian methods based on dual generalized order statistics. The Bayes estimators are derived under the squared error loss function as a symmetric loss function and the linear-exponential loss function as an asymmetric loss function based on dual generalized order statistics. Confidence and credible intervals for the parameters, reliability and hazard rate functions are obtained. All results are specialized to lower record values, also a numerical study is presented to illustrate the theoretical procedures.
Publication Details
Page(s) 649-660
DOI 10.18187/pjsor.v16i4.2774
Published Journal: Pakistan Journal of Statistics and Operation Research, Volume: 16, Issue: 4, Year: 2020

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Keywords
maximum likelihood estimation, Bayesian estimation, Inverted kumaraswamy distribution, Lower
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