On moments of dual generalized order statistics from Topp-Leone distribution

M. J. S. Khan and S. Iqrar

Communications in Statistics - Theory and Methods, 2019, vol. 48, issue 3, 479-492

Abstract: In this paper, we have derived exact and explicit expressions for the ratio and inverse moments of dual generalized order statistics from Topp-Leone distribution. This result includes the single and product moments of order statistics and lower records . Further, based on n dual generalized order statistics, we have deduced the expression for Maximum likelihood estimator (MLE) and Uniformly minimum variance unbiased estimator (UMVUE) for the shape parameter of Topp-Leone distribution. Finally, based on order statistics and lower records, a simulation study is being carried out to check the efficiency of these estimators.

Date: 2019
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DOI: 10.1080/03610926.2017.1414260

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