Derives the null distribution of the Behrens-Fisher test statistic as a Gauss hypergeometric function via Mellin-Barnes factorization and supplies exact critical values across sample sizes and variance ratios.
A revisit to the Behrens–Fisher problem: Compar- ison of five test methods.Communications in Statistics - Simulation and Computation, 37:1064 – 1085
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A unified approach to the Behrens-Fisher problem
Derives the null distribution of the Behrens-Fisher test statistic as a Gauss hypergeometric function via Mellin-Barnes factorization and supplies exact critical values across sample sizes and variance ratios.