Abstract
In this paper, we deal with the problem of testing the equality of k probability distributions. We introduce a generalization of the maximum mean discrepancy that permits to characterize the null hypothesis. Then we propose its estimator as a test statistic and derive its asymptotic distribution under the null hypothesis. Simulations show that the introduced procedure outperforms a classical one.
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Balogoun, A.S.K., Nkiet, G.M. & Ogouyandjou, C. A k-Sample Test for Functional Data Based on Generalized Maximum Mean Discrepancy. Lith Math J 62, 289–303 (2022). https://doi.org/10.1007/s10986-022-09572-x
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DOI: https://doi.org/10.1007/s10986-022-09572-x