Asymptotic Expansion for Sampling Distribution and Sample Size in Statistical Inference I–Presentation of the Problem, Illustrated by the T2-Test

DOI10.1080/01966324.1995.10737398zbMath0855.62042OpenAlexW2057777606WikidataQ58279666 ScholiaQ58279666MaRDI QIDQ4715608

Mínoru Siotani, Takashi Seo, Toshiya Iwashita

Publication date: 9 February 1997

Published in: American Journal of Mathematical and Management Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01966324.1995.10737398

zbMATH Keywords

asymptotic expansionsabsolute erroreffective sample sizeexperimental upper boundguidelines for selecting values of parametersHotelling's \(T\)-square-testoperating characteristic functionsvalid sample size

Mathematics Subject Classification ID

Hypothesis testing in multivariate analysis (62H15)

Cites Work

• The extreme value of the generalized distances of the individual points in the multivariate normal sample
• The Asymptotic Noncentral Distribution of Hotelling's Generalized $T_0^2$
• An Asymptotic Expansion of the Non-Null Distribution of Hotelling's Generalized $T_0^2$-Statistic
• Unnamed Item