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Functional Two-sample Tests Based on Empirical Characteristic Functionals

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Functional and High-Dimensional Statistics and Related Fields (IWFOS 2020)

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Abstract

Two-sample tests for functional data based on empirical characteristic functionals are proposed. The test statistic is of Cramér–von Mises type with integration over a preselected family of probability measures, say Q, leading a computationaly feasible and powerful test statistic. The choice of the probability measure Q is discussed and the empirical size and power of the resulting two-sample functional tests are investigated in a small simulation study.

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Correspondence to Daniel Hlubinka .

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Hlávka, Z., Hlubinka, D. (2020). Functional Two-sample Tests Based on Empirical Characteristic Functionals. In: Aneiros, G., Horová, I., Hušková, M., Vieu, P. (eds) Functional and High-Dimensional Statistics and Related Fields. IWFOS 2020. Contributions to Statistics. Springer, Cham. https://doi.org/10.1007/978-3-030-47756-1_17

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