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November, 1980 Edgeworth Expansions for Linear Combinations of Order Statistics with Smooth Weight Functions
R. Helmers
Ann. Statist. 8(6): 1361-1374 (November, 1980). DOI: 10.1214/aos/1176345207

Abstract

Edgeworth expansions for linear combinations of order statistics are established. The theorems require smooth weight functions and the underlying distribution function must possess a finite fourth moment. In addition a local smoothness condition is imposed on the underlying distribution function.

Citation

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R. Helmers. "Edgeworth Expansions for Linear Combinations of Order Statistics with Smooth Weight Functions." Ann. Statist. 8 (6) 1361 - 1374, November, 1980. https://doi.org/10.1214/aos/1176345207

Information

Published: November, 1980
First available in Project Euclid: 12 April 2007

zbMATH: 0444.62053
MathSciNet: MR594651
Digital Object Identifier: 10.1214/aos/1176345207

Subjects:
Primary: 62G30
Secondary: 62E20

Keywords: $L$-estimators , deficiency , Edgeworth expansions , Linear combinatons of order statistics , second order efficiency

Rights: Copyright © 1980 Institute of Mathematical Statistics

Vol.8 • No. 6 • November, 1980
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