The power Rayleigh distribution is considered via the power transformation technique. The suggested model behaves better than the original distribution in dealing with complex data. The key focus of this paper is to establish some simple recurrence relations for single and product moments of generalized order statistics from the power Rayleigh distribution. Some numeric computations are carried out at the different parameters of the power Rayleigh distribution. The moments of order statistics and record values are deduced from the single and product moments. Further, characterization results are also derived for power Rayleigh distribution via recurrence relations and conditional expectations.
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M. I. Khan (2024) studied this question.
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