Variance bounds using a theorem of Polya

DOI10.1016/0167-7152(88)90007-7zbMath0629.62028OpenAlexW2061430950MaRDI QIDQ1094028

Barry C. Arnold, Patrick L. Brockett

Publication date: 1988

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-7152(88)90007-7

zbMATH Keywords

order statisticsminimamaximavariance boundsPolya inequality

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Inequalities for sums, series and integrals (26D15) Nonparametric inference (62G99) Statistical distribution theory (62E99)

Related Items (4)

A generalization of variance bounds ⋮ Strengthened Chernoff-type variance bounds ⋮ Variance bound of function of order statistics ⋮ Some characterizations of distributions based on order statistics

Cites Work

• On a characterization of rectangular distributions
• Maximally dependent random variables
• Nonparametric Statistical Data Modeling
• SOME INTEGRAL INEQUALITIES CONNECTED WITH THE CALCULUS OF VARIATIONS

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