Conway--Maxwell multivariate Bernoulli distribution
Fuente:
arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866908993354465280 |
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| author | Cossette, Hélène Marceau, Etienne Mutti, Alessandro Semeraro, Patrizia |
| author_facet | Cossette, Hélène Marceau, Etienne Mutti, Alessandro Semeraro, Patrizia |
| contents | We investigate the Conway--Maxwell multivariate Bernoulli distributions, a family of multivariate Bernoulli distributions derived from the Conway--Maxwell-binomial distribution. We show that it is possible to set the parametrization such that the Bernoulli marginals remain intact, allowing us to study dependence properties within this family. In particular, we demonstrate that this family spans the full spectrum of dependence. Moreover, for specific ranges of the parameters, these distributions satisfy the strongly Rayleigh property, a negative dependence notion stronger than negative association. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_23367 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Conway--Maxwell multivariate Bernoulli distribution Cossette, Hélène Marceau, Etienne Mutti, Alessandro Semeraro, Patrizia Statistics Theory We investigate the Conway--Maxwell multivariate Bernoulli distributions, a family of multivariate Bernoulli distributions derived from the Conway--Maxwell-binomial distribution. We show that it is possible to set the parametrization such that the Bernoulli marginals remain intact, allowing us to study dependence properties within this family. In particular, we demonstrate that this family spans the full spectrum of dependence. Moreover, for specific ranges of the parameters, these distributions satisfy the strongly Rayleigh property, a negative dependence notion stronger than negative association. |
| title | Conway--Maxwell multivariate Bernoulli distribution |
| topic | Statistics Theory |
| url | https://arxiv.org/abs/2604.23367 |