Moments of Dual Generalized Order Statistics from Topp Leone Weighted Weibull Distribution and Characterization

B. Singh, R. U. Khan () and A. N. Khan
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B. Singh: Aligarh Muslim University
R. U. Khan: Aligarh Muslim University
A. N. Khan: Aligarh Muslim University

Annals of Data Science, 2022, vol. 9, issue 6, No 1, 1129-1148

Abstract: Abstract In this paper, we obtain exact explicit expressions as well as several recurrence relations satisfied by single and product moments of dual (lower) generalized order statistics from Topp-Leone weighted Weibull distribution. These relations are deduced for moments of order statistics and lower record values. Further, these recurrence relations and other properties of dual generalized order statistics are used to characterize this distribution.

Keywords: Dual generalized order statistics; Order statistics; Lower records; Single moments; Product moments; Recurrence relations; Topp-Leone weighted Weibull distribution and characterization; 62G30; 62E10; 60E05 (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s40745-021-00324-1

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