Open AccessThe Moment Properties of Order, Reversed Order and Upper Record Statistics for the Power Ailamujia Distribution
Author(s) -
Farrukh Jamal,
Christophe Chesneau
Publication year - 2021
Publication title -
wseas transactions on mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.211
H-Index - 21
eISSN - 2224-2880
pISSN - 1109-2769
DOI - 10.37394/23206.2021.20.64
Subject(s) - order statistic , l moment , moment (physics) , statistics , order (exchange) , distribution (mathematics) , mathematics , power (physics) , joint probability distribution , higher order statistics , mathematical analysis , computer science , physics , telecommunications , radar , finance , classical mechanics , quantum mechanics , economics , signal processing
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.