Statistical procedures based on signed ranks in \(k\) samples with unequal variances

DOI10.1007/BF00775813zbMath0777.62049MaRDI QIDQ688345

Taka-Aki Shiraishi

Publication date: 2 December 1993

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

zbMATH Keywords

critical pointsrank testshomogeneityasymptotic relative efficiencycommon meanlocal alternativessimulation studypreliminary testquadratic lossBehrens-Fisher problem\(t\)-testlocation parametersKruskal-Wallis testweighted least squares estimatorschi-square approximation\(R\)-estimatorsasymptotic chi-square distributionasymptotic distributional risksMahalanobis lossmodified James-Stein estimation rulepositive-part shrinkage versions of \(R\)-estimatorssigned rankssignificance pointsunequal variancesWelch's test

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Estimation in multivariate analysis (62H12) Asymptotic distribution theory in statistics (62E20) Asymptotic properties of nonparametric inference (62G20) Monte Carlo methods (65C05)

Cites Work

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• On preliminary test and shrinkage M-estimation in linear models
• Hypothesis testing and parameter estimation based on \(M\)-statistics in \(k\) samples with unequal variances
• The Efficiency of Some Nonparametric Competitors of the $t$-Test
• Estimates of Location Based on Rank Tests
• Non-Optimality of Preliminary-Test Estimators for the Mean of a Multivariate Normal Distribution
• Asymptotic Efficiency of a Class of $c$-Sample Tests
• ON THE COMPARISON OF SEVERAL MEAN VALUES: AN ALTERNATIVE APPROACH
• Use of Ranks in One-Criterion Variance Analysis
• Combining Unbiased Estimators

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