Recurrence Relations And Identities For Moments Of Order Statistics, II; Specific Continuous Distributions

DOI10.1080/03610928808829763zbMath0696.62028OpenAlexW2009499846MaRDI QIDQ3472993

Narayanaswamy Balakrishnan, Henrick John Malik, S. Ejaz Ahmed

Publication date: 1988

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610928808829763

zbMATH Keywords

order statisticsidentitieslogistic distributionexponential distributionnormal distributionrecurrence relationsgamma distributionmeansLomax distributionPareto distributionpower function distributionproduct momentssingle momentsCauchy distributioncovarianceslog-logistic distributionRayleigh distributiontruncated distributionvariancesbest linear estimatorslinear-exponential distribution

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30) Characterization and structure theory of statistical distributions (62E10)

Related Items (25)

On the moments of order statistics from the standard two-sided power distribution ⋮ Intriguing yet simple skewness: kurtosis relation in economic and demographic data distributions, pointing to preferential attachment processes ⋮ Recurrence relations for moments of record values ⋮ On some identities involving the moments of extremes from gamma distribution ⋮ Moments of order statistics from doubly truncated continuous distributions and characterizations ⋮ On characterizations of distributions by expected values of order statistics and record values with gap ⋮ Joint Moment Generating Functions of Nonadjacent Dual Generalized Order Statistics from Reflected Generalized Pareto Distributions ⋮ Recurrence relations for moments of order statistics from half logistic-truncated exponential distribution ⋮ Recurrence relations for moments of different orders of extremes from gamma distribution ⋮ Recurrence relations for single moments of generalized order statistics from doubly truncated distributions ⋮ Moments of order statistics of Topp-Leone distribution ⋮ Inference for generalized inverse Lindley distribution based on generalized order statistics ⋮ Lorenz ordering of order statistics from log-logistic and related distributions ⋮ On the moments of order statistics coming from the Topp-Leone distribution ⋮ Recurrence relations for single and product moments of progressively type-II right censored order statistics from doubly truncated exponentiated Pareto distribution ⋮ A general recurrence relation for moments of order statistics in a class of probability distributions and characterizations ⋮ Recurrence relations for the moments of order statistics from a beta distribution ⋮ Order statistics from the doubly truncated linear-exponential distribution and its characterizations ⋮ Unnamed Item ⋮ A rank test based on the moments of order statistics of the modified Makeham distribution ⋮ An identity for the product moments of order statistics ⋮ Relations for expectations of functions of generalized order statistics ⋮ Some identities among moments of order statistics ⋮ An identity for expectations of functions of order statistics ⋮ An identity for the conditional expectations of functions of adjacent order statistics

Cites Work

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• Least-Squares Estimates Using Ordered Observations
• Cumulative Frequency Functions

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