首页|The Moment Properties of Order, Reversed Order and Upper Record Statistics for the Power Ailamujia Distribution
The Moment Properties of Order, Reversed Order and Upper Record Statistics for the Power Ailamujia Distribution
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NSTL
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.
Power ailmujia distributionOrder statisticsReversed order statisticsUpper record statisticsRecurrence relationships
FARRUKH JAMAL、CHRISTOPHE CHESNEAU
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Department of Statistics, The Islamia University of Bahawalpur
NSTL
