Variance bounds using a theorem of Polya
type: Item
instance of: scholarly article
title: Variance bounds using a theorem of Polya
zbMATH Open document ID: 0629.62028
DOI: 10.1016/0167-7152(88)90007-7
author: Barry C. Arnold
author: Patrick L. Brockett
published in: Statistics \& Probability Letters
publication date: 1988-01-01T00:00:00Z
review text: This paper uses an extension of a theorem of Polya to derive bounds for the variance of a random variable. These are applied to maxima and minima of a sample and the bounds are found to be quite good.
Mathematics Subject Classification ID: 62E99
Mathematics Subject Classification ID: 60E15
Mathematics Subject Classification ID: 62G99
Mathematics Subject Classification ID: 26D15
zbMATH DE Number: 4024511
zbMATH Keywords: order statistics
zbMATH Keywords: variance bounds
zbMATH Keywords: Polya inequality
zbMATH Keywords: maxima
zbMATH Keywords: minima
MaRDI profile type: Publication
full work available at URL: 0167-7152(88)90007-7
OpenAlex ID: W2061430950
cites work: On a characterization of rectangular distributions
cites work: SOME INTEGRAL INEQUALITIES CONNECTED WITH THE CALCULUS OF VARIATIONS
cites work: Maximally dependent random variables
cites work: Nonparametric Statistical Data Modeling
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description: scientific article; zbMATH DE number 4024511