The limiting distribution of combining the t and Wilcoxon rank sum tests

DOI10.1080/02331888.2020.1809662zbMath1450.62021OpenAlexW3080479791MaRDI QIDQ5119181

Masato Kitani, Hidetoshi Murakami

Publication date: 3 September 2020

Published in: Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331888.2020.1809662

zbMATH Keywords

simulationhypothesis testinglimiting null distributionlocation parameternull distributiontwo-sample location problemmaximum testWilcoxon rank-sum testStudent-\(t\) test

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic distribution theory in statistics (62E20) Parametric hypothesis testing (62F03) Probability distributions: general theory (60E05)

Cites Work

• Unnamed Item
• Unnamed Item
• Asymptotically valid and exact permutation tests based on two-sample \(U\)-statistics
• An example of the two-sided Wilcoxon test which is not unbiased
• Biased and unbiased two-sided Wilcoxon tests for equal sample sizes
• The Efficiency of Some Nonparametric Competitors of the $t$-Test
• Rank Transformations as a Bridge Between Parametric and Nonparametric Statistics
• A K-SAMPLE RANK TEST BASED ON MODIFIED BAUMGARTNER STATISTIC AND ITS POWER COMPARISON
• A non-parametric maximum test for the Behrens–Fisher problem
• Combining thettest and Wilcoxon's rank-sum test
• The limit test statistic distribution of the maximum value test for right-censored data
• Testing Statistical Hypotheses
• The Distribution of the Identified Minimum of a Normal Pair Determines the Distribution of the Pair
• On a Test of Whether one of Two Random Variables is Stochastically Larger than the Other