On Relations for Moments of Generalized Order Statistics for Lindley–Weibull Distribution
作者机构:Department of StatisticsUniversity of JeddahJeddahKingdom of Saudi Arabia Department of StatisticsKing Abdulaziz UniversityJeddahKingdom of Saudi Arabia
出 版 物:《Computer Systems Science & Engineering》 (计算机系统科学与工程(英文))
年 卷 期:2022年第41卷第4期
页 面:197-208页
核心收录:
学科分类:07[理学] 0701[理学-数学] 070101[理学-基础数学]
基 金:The work was funded by the University of Jeddah Saudi Arabia under Grant Number UJ–02–093–DR.The authors therefore acknowledge with thanks the University for technical and financial support
主 题:Generalized order statistics Lindley–Weibull distribution recurrence relations moments
摘 要:Moments of generalized order statistics appear in several areas of science and *** moments are useful in studying properties of the random variables which are arranged in increasing order of importance,for example,time to failure of a computer *** computation of these moments is sometimes very tedious and hence some algorithms are *** algorithm is to use a recursive method of computation of these moments and is very useful as it provides the basis to compute higher moments of generalized order statistics from the corresponding lower-order *** order statistics pro-vides several models of ordered data as a special *** moments of general-ized order statistics also provide moments of order statistics and record values as a special *** this research,the recurrence relations for single,product,inverse and ratio moments of generalized order statistics will be obtained for Lindley–Weibull *** relations will be helpful for obtained moments of gen-eralized order statistics from Lindley–Weibull distribution *** cases of the recurrence relations will also be *** characterizations of the distribution will also be obtained by using moments of generalized order *** relations for moments and characterizations can be used in differ-ent areas of computer sciences where data is arranged in increasing order.