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Babu, G.J. and Padmanabhan, A.R. (2002). Resampling methods for the nonparametric Behrens-Fisher problem, Sankhya, special issue in memory of D. Basu, 64(3), Pt. I, 678–692.
Best, D.J. and Rayner, J.C. (1987). Welch’s approximate solution to the Behrens- Fisher problem, Technometrics, 29(2), 205–210.
Brunner, E. and Munzel, U. (2000). The nonparametric Behrens-Fisher problem: asymptotic theory and a small-sample approximation, Biometrical J., 1, 17–25.
Fligner, M.A. and Policello, G.E. (1981). Robust rank procedures for the Behrens-Fisher problem, J. Am. Stat. Assoc., 76, 162–168.
Ghosh, M. and Kim, Y.H. (2001). The Behrens-Fisher problem revisited: a Bayes-Frequentist synthesis, Can. J. Stat., 29(1), 5–17.
Hajek, J. and Sidak, Z. (1967). Theory of Rank Tests, Academic Press, New York.
Hettmansperger, T. (1973). A large sample conservative test for location with unknown scale parameters, J. Am. Stat. Assoc., 68, 466–468.
Hettmansperger, T. (1984). Statistical Inference Based on Ranks, John Wiley, New York.
Johnson, R.A. and Weerahandi, S. (1988). A Bayesian solution to the multivariate Behrens-Fisher problem, J. Am. Stat. Assoc., 83, 145–149.
Lehmann, E.L. (1986). Testing Statistical Hypotheses, 2nd ed., John Wiley, New York.
Lehmann, E.L. and Romano, J. (2005). Testing Statistical Hypotheses, 3rd ed., Springer, New York.
Linnik, J.V. (1963). On the Behrens-Fisher problem, Bull. Inst. Int. Stat., 40, 833–841.
Mann, H.B. and Whitney, D.R. (1947). On a test whether one of two random variables is stochastically larger than the other, Ann. Math. Stat., 18, 50–60.
Milton, R.C. (1964). An extended table of critical values of the Mann-Whitney (Wilcoxon) two-sample statistic, J. Am. Stat. Assoc., 59, 925–934.
Pfanzagl, J. (1974). On the Behrens-Fisher problem, Biometrika, 61, 39–47.
Randles, R.H. and Wolfe, D.A. (1979). Introduction to the Theory of Nonparametric Statistics, John Wiley, New York.
Scheffe, H. (1970). Practical solutions of the Behrens-Fisher problem, J. Am. Stat. Assoc., 65, 1501–1508.
Serfling, R. (1980). Approximation Theorems of Mathematical Statistics, John Wiley, New York.
Wang, Y.Y. (1971). Probabilities of the type I errors of the Welch test for the Behrens-Fisher problem, J. Am. Stat. Assoc., 66, 605–608.
Welch, B. (1949). Further notes on Mrs. Aspin’s tables, Biometrika, 36, 243–246.
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DasGupta, A. (2008). Two-Sample Problems. In: Asymptotic Theory of Statistics and Probability. Springer Texts in Statistics. Springer, New York, NY. https://doi.org/10.1007/978-0-387-75971-5_25
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