Laplace Expansion for Bartlett--Nanda--Pillai Test Statistic and Its Error Bound

IF 0.5 4区数学 Q4 STATISTICS & PROBABILITY

Theory of Probability and its Applications Pub Date : 2024-02-07 DOI:10.1137/s0040585x97t991635

H. Wakaki, V. V. Ulyanov

引用次数: 0

Abstract

Theory of Probability &Its Applications, Volume 68, Issue 4, Page 570-581, February 2024.
We construct asymptotic expansions for the distribution function of the Bartlett--Nanda--Pillai statistic under the condition that the null linear hypothesis is valid in a multivariate linear model. Computable estimates of the accuracy of approximation are obtained via the Laplace approximation method, which is generalized to integrals for matrix-valued functions.

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巴特利特-南达-皮莱检验统计量的拉普拉斯展开及其误差范围

概率论及其应用》（Theory of Probability &Its Applications），第 68 卷第 4 期，第 570-581 页，2024 年 2 月。在多元线性模型中零线性假设成立的条件下，我们构建了巴特利特-南达-皮莱统计量分布函数的渐近展开式。通过拉普拉斯近似法获得了近似精度的可计算估计值，并将其推广到矩阵值函数的积分。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Theory of Probability and its Applications 数学-统计学与概率论

CiteScore

1.00

自引率

16.70%

发文量

审稿时长

6 months

期刊介绍： Theory of Probability and Its Applications (TVP) accepts original articles and communications on the theory of probability, general problems of mathematical statistics, and applications of the theory of probability to natural science and technology. Articles of the latter type will be accepted only if the mathematical methods applied are essentially new.