WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 20, 2021
The Moment Properties of Order, Reversed Order and Upper
Record Statistics for the Power Ailamujia Distribution
Authors: ,
Abstract: The power Ailamujia distribution has been successfully developed in statistics, both theoretically and practically, performing well in the fitting of various types of data. This paper investigates the moment properties of the associated order, reversed order and upper record statistics, which are indeed unexplored aspects of this distribution. In particular, the exact expressions for the single moments of the order and reversed order statistics are provided. Some recurrence relationships for both single and product moments for the order and upper record statistics are proved. For additional goals, certain joint distributions are also given.
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Keywords: Power Ailmujia distribution, order statistics, reversed order statistics, upper record statistics, recurrence relationships.
Pages: 607-614
DOI: 10.37394/23206.2021.20.64