Improved chi-squared tests for a composite hypothesis

JOURNAL OF MULTIVARIATE ANALYSIS

卷:107

Article

Kakizawa, Yoshihide

关键词: Asymptotic expansion;    Bartlett-type adjustment;    Chi-squared approximation;    Composite hypothesis;    Nuisance parameter;   

DOI  :  10.1016/j.jmva.2012.01.008

来源: Elsevier

【 摘 要 】

The Bartlett-type adjustment is a higher-order asymptotic method for improving the chi-squared approximation to the null distributions of various test statistics. Though three influential papers were published in 1991-Chandra and Mukerjee (1991) [8], Cordeiro and Ferrari (1991) [12] and Taniguchi (1991) [36] in alphabetical order, the only CF-approach has been frequently applied in the literature during the last two decades, provided that asymptotic expansion for the null distribution of a given test statistic is available. Revisiting the CM/T-approaches developed in the absence of a nuisance parameter, this paper suggests general adjustments for a class of test statistics that includes, in particular, the likelihood ratio, Rao's and Wald's test statistics in the presence of a nuisance parameter. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free