Order Statistics from Non-identical Doubly-Truncated Generalized Power Function Random Variables and Applications | ||||
The Egyptian Statistical Journal | ||||
Article 9, Volume 44, Issue 1, June 2000, Page 99-111 PDF (5.21 MB) | ||||
Document Type: Original Article | ||||
DOI: 10.21608/esju.2000.313827 | ||||
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Author | ||||
Mohamed E. Moshref* | ||||
Department of Mathematics, Faculty of Science, Al-Azhar University, Egypt | ||||
Abstract | ||||
Abstract: In this paper, we derive some recurrence relations for the single and product moments of order statistics from n independent and non-identically distributed generalized power function random variables. These recurrence relations are simple in nature and could be used systematically in order to compute all the single and product moments of all order statistics in a simple recursive manner. The results for order statistics from a multiple-outlier model (with a slippage of p observations) from generalized power function distributions are deduced as special cases. The results then generalized in the case of doubly truncated case. Numerical example is also presented. | ||||
Keywords | ||||
Order Statistics; Outliers - Single Moments - Product Moments - Recurrence Relations - Double Truncated Generalized Power Function Distribution - Permanents | ||||
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