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June, 1982 Applications of Anova Type Decompositions for Comparisons of Conditional Variance Statistics Including Jackknife Estimates
Samuel Karlin, Yosef Rinott
Ann. Statist. 10(2): 485-501 (June, 1982). DOI: 10.1214/aos/1176345790

Abstract

Variance and bias comparisons are set forth for a sequence of nonlinear statistics based on independent random variables including jackknife and U-statistics of various orders. The analysis relies heavily on an orthogonal decomposition first introduced by Hoeffding in 1948. This ANOVA type decomposition is refined for purposes of discerning higher order convexity properties for an array of conditional variance coefficients. There is also some discussion of two-sample statistics.

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Samuel Karlin. Yosef Rinott. "Applications of Anova Type Decompositions for Comparisons of Conditional Variance Statistics Including Jackknife Estimates." Ann. Statist. 10 (2) 485 - 501, June, 1982. https://doi.org/10.1214/aos/1176345790

Information

Published: June, 1982
First available in Project Euclid: 12 April 2007

zbMATH: 0491.62036
MathSciNet: MR653524
Digital Object Identifier: 10.1214/aos/1176345790

Subjects:
Primary: 62G05

Rights: Copyright © 1982 Institute of Mathematical Statistics

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Vol.10 • No. 2 • June, 1982
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