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A unified approach to the Behrens-Fisher problem

math.ST · 2025-11-06 · unverdicted · novelty 7.0

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.

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  • A unified approach to the Behrens-Fisher problem math.ST · 2025-11-06 · unverdicted · none · ref 26

    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.