WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 23, 2024
Moments of Powered Rayleigh Distribution by Generalized Order Statistics
Author: M. I. Khan
Abstract: 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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Keywords: Generalized order statistics, order statistics, record value, powered Rayleigh distribution, recurrence relations, conditional expectation, characterization
Pages: 488-493
DOI: 10.37394/23206.2024.23.51
WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 23, 2024, Art. #51