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March 2006 Asymptotic expansion for Lack-of-Fit test under nonnormality
Chieko Matsumoto, Hirofumi Wakaki
Hiroshima Math. J. 36(1): 29-38 (March 2006). DOI: 10.32917/hmj/1147883394

Abstract

It is shown that the Lack-of-Fit test can be considered as the likelihood ratio test on the mean structure for some linear model. The asymptotic expansion of the null distribution of the test statistic is derived up to order $n^-1$ under nonnormality. A certain robustness against nonnormality is also investigated.

Citation

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Chieko Matsumoto. Hirofumi Wakaki. "Asymptotic expansion for Lack-of-Fit test under nonnormality." Hiroshima Math. J. 36 (1) 29 - 38, March 2006. https://doi.org/10.32917/hmj/1147883394

Information

Published: March 2006
First available in Project Euclid: 17 May 2006

zbMATH: 1097.62053
MathSciNet: MR2213641
Digital Object Identifier: 10.32917/hmj/1147883394

Subjects:
Primary: 62H10
Secondary: 62H20

Keywords: asymptotic expansion , lack-of-fit test , multivariate linear model , nonnormality , null distribution

Rights: Copyright © 2006 Hiroshima University, Mathematics Program

Vol.36 • No. 1 • March 2006
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