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June, 1994 On the Berry-Esseen Bound for $L$-Statistics in the Non-I.D. Case with Applications to the Estimation of Location Parameters
Xiaojing Xiang
Ann. Statist. 22(2): 968-979 (June, 1994). DOI: 10.1214/aos/1176325506

Abstract

In this paper, two versions of the Berry-Esseen theorems are established for $L$-statistics in the non-identically distributed case. One theorem, which requires $E|X_i|^3 < \infty$, is an extension of the classical Berry-Esseen theorem. Another, proved under the condition $E|X_i|^\alpha < \infty$ for some $\alpha \in (0, 1\rbrack$, seems to be of more interest for statistical inference. Some applications are also discussed.

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Xiaojing Xiang. "On the Berry-Esseen Bound for $L$-Statistics in the Non-I.D. Case with Applications to the Estimation of Location Parameters." Ann. Statist. 22 (2) 968 - 979, June, 1994. https://doi.org/10.1214/aos/1176325506

Information

Published: June, 1994
First available in Project Euclid: 11 April 2007

zbMATH: 0805.62031
MathSciNet: MR1292551
Digital Object Identifier: 10.1214/aos/1176325506

Subjects:
Primary: 60F05
Secondary: 62F12, 62G30

Rights: Copyright © 1994 Institute of Mathematical Statistics

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Vol.22 • No. 2 • June, 1994
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