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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2404.09938 |
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| _version_ | 1866917639988707328 |
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| author | Balogoun, Armando Sosthène Kali Nkiet, Guy Martial |
| author_facet | Balogoun, Armando Sosthène Kali Nkiet, Guy Martial |
| contents | This paper adresses the problem of testing for the equality of $k$ probability distributions on Hilbert spaces, with $k\geqslant 2$. We introduce a generalization of the maximum variance discrepancy called multiple maximum variance discrepancy (MMVD). Then, a consistent estimator of this measure is proposed as test statistic, and its asymptotic distribution under the null hypothesis is derived. A simulation study comparing the proposed test with existing ones is provided |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_09938 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Testing for homogeneity of several functional variables via multiple maximum variance discrepancy Balogoun, Armando Sosthène Kali Nkiet, Guy Martial Statistics Theory This paper adresses the problem of testing for the equality of $k$ probability distributions on Hilbert spaces, with $k\geqslant 2$. We introduce a generalization of the maximum variance discrepancy called multiple maximum variance discrepancy (MMVD). Then, a consistent estimator of this measure is proposed as test statistic, and its asymptotic distribution under the null hypothesis is derived. A simulation study comparing the proposed test with existing ones is provided |
| title | Testing for homogeneity of several functional variables via multiple maximum variance discrepancy |
| topic | Statistics Theory |
| url | https://arxiv.org/abs/2404.09938 |