Convolution of a symmetric log-concave distribution and a symmetric bimodal distribution can have any number of modes
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arXiv
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| Format: | Preprint |
| Publié: |
2021
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| _version_ | 1866916132320968704 |
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| author | Arnal, Charles |
| author_facet | Arnal, Charles |
| contents | In this note, we show that the convolution of a discrete symmetric log-concave distribution and a discrete symmetric bimodal distribution can have any strictly positive number of modes. A similar result is proved for smooth distributions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2102_09293 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Convolution of a symmetric log-concave distribution and a symmetric bimodal distribution can have any number of modes Arnal, Charles Statistics Theory Probability 62E10 (Primary) 60E05 (Secondary) In this note, we show that the convolution of a discrete symmetric log-concave distribution and a discrete symmetric bimodal distribution can have any strictly positive number of modes. A similar result is proved for smooth distributions. |
| title | Convolution of a symmetric log-concave distribution and a symmetric bimodal distribution can have any number of modes |
| topic | Statistics Theory Probability 62E10 (Primary) 60E05 (Secondary) |
| url | https://arxiv.org/abs/2102.09293 |