Asymptotic Expansion of the Non Null Distribution of the Two-Samplet-Statistic Under Non Normality with Application in Power Comparison

DOI10.1080/03610920902923528zbMath1318.62043OpenAlexW1997337327MaRDI QIDQ3585290

Jin Xu

Publication date: 19 August 2010

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610920902923528

zbMATH Keywords

asymptotic expansioncharacteristic functionpowertwo-sample \(t\)-statistic

Mathematics Subject Classification ID

Approximations to statistical distributions (nonasymptotic) (62E17)

Related Items (4)

Accurate mean comparisons for paired samples with missing data: An application to a smoking-cessation trial ⋮ New two-sample tests for skewed populations and their connection to theoretical power of bootstrap-\(t\) test ⋮ Cornish-Fisher expansions using sample cumulants and monotonic transformations ⋮ Transformation tests and their asymptotic power in two-sample comparisons

Cites Work

• Edgeworth expansion for Student's t statistic under minimal moment conditions
• On the validity of the formal Edgeworth expansion
• Saddlepoint approximation for Student's \(t\)-statistic with no moment conditions
• Limiting distributions of the non-central \(t\)-statistic and their applications to the power of \(t\)-tests under non-normality
• Non-normality and heterogeneity in two sample t-test
• The two-sample t test versus satterthwaite's approximate f test
• Non-normality in two-sample t-tests
• The bootstrap and Edgeworth expansion

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