Characterizations based on order statistics under sampling without replacement

DOI10.1016/j.jspi.2008.01.016zbMath1149.62302OpenAlexW2059775015MaRDI QIDQ958812

Alexandre Berred, Valeriĭ Borisovich Nevzorov

Publication date: 8 December 2008

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2008.01.016

zbMATH Keywords

order statisticscharacterizationregressionsampling without replacement

Mathematics Subject Classification ID

Linear inference, regression (62J99) Sampling theory, sample surveys (62D05) Order statistics; empirical distribution functions (62G30) Characterization and structure theory of statistical distributions (62E10)

Related Items (3)

Order statistics based on a combined simple random sample from a finite population and applications to inference ⋮ Samples without replacement: one property of distribution of range ⋮ A Note on the Upper Bound to Variance of the Sample Extreme from a Finite Population

Cites Work

• An extremal property of rectangular distributions
• One property of the Student's distribution with two degrees of freedom
• Upper and lower bounds for the correlation ratio of order statistics from a sample without replacement
• ON CHARACTERIZING DISTRIBUTIONS VIA LINEARITY OF REGRESSION FOR ORDER STATISTICS
• Linearity of regression for non-adjacent order statistics.
• Linearity of convex mean residual life
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