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On Relations for Moments of Generalized Order Statistics for lindley–weibull distribution

Computer Systems Science & Engineering 2022年第4期41卷 197-208页

作者： Faten A.Momen khan Saman Hanif Shahbaz Muhammad Qaiser Shahbaz Department of Statistics University of JeddahJeddahKingdom of Saudi Arabia Department of Statistics King Abdulaziz UniversityJeddahKingdom of Saudi Arabia

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.

关键词： Generalized order statistics lindley–weibull distribution recurrence relations moments

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