Open Access
May 2012 Cornish–Fisher expansions for sample autocovariances and other functions of sample moments of linear processes
Christopher S. Withers, Saralees Nadarajah
Braz. J. Probab. Stat. 26(2): 149-166 (May 2012). DOI: 10.1214/10-BJPS126

Abstract

We give Cornish–Fisher expansions for general smooth functions of the sample cross-moments of a stationary linear process. Examples include the distributions of the sample mean, the sample autocovariance and the sample autocorrelation.

Citation

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Christopher S. Withers. Saralees Nadarajah. "Cornish–Fisher expansions for sample autocovariances and other functions of sample moments of linear processes." Braz. J. Probab. Stat. 26 (2) 149 - 166, May 2012. https://doi.org/10.1214/10-BJPS126

Information

Published: May 2012
First available in Project Euclid: 23 January 2012

zbMATH: 1235.62020
MathSciNet: MR2880903
Digital Object Identifier: 10.1214/10-BJPS126

Keywords: Cornish–Fisher expansions , Cumulants , linear process , Stationary processes

Rights: Copyright © 2012 Brazilian Statistical Association

Vol.26 • No. 2 • May 2012
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