Moments of Generalized Order Statistics from a General Class of Distributions (original) (raw)

Abstract

Order statistics, record values and several other models of ordered random variables can be viewed as special case of generalized order statistics (gos) [Kamps, 1995]. In this paper explicit expressions for single and product moments of generalized order statistics from a family of distributions have been obtained. Further, some deductions and particular cases are discussed.

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Key takeaways

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  1. The paper derives explicit expressions for moments of generalized order statistics (GOS) from a general class of distributions.
  2. GOS include special cases like order statistics and record values, enhancing statistical modeling.
  3. The results include both single and product moments, with specific relations established in Theorems 2.1 and 2.2.
  4. At specific parameter values, results can simplify to known single moment expressions, demonstrating flexibility.
  5. The research contributes to the understanding of ordered random variables in statistical theory.

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References (11)

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