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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2405.17530 |
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| _version_ | 1866916262697762816 |
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| author | Cao, Zhixing Wang, Yiling Grima, Ramon |
| author_facet | Cao, Zhixing Wang, Yiling Grima, Ramon |
| contents | We report the existence of deterministic patterns in plots showing the relationship between the mean and the Fano factor (ratio of variance and mean) of stochastic count data. These patterns are found in a wide variety of datasets, including those from genomics, paper citations, commerce, ecology, disease outbreaks, and employment statistics. We develop a theory showing that the patterns naturally emerge when data sampled from discrete probability distributions is organised in matrix form. The theory precisely predicts the patterns and shows that they are a function of only one variable - the sample size. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_17530 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Universal deterministic patterns in stochastic count data Cao, Zhixing Wang, Yiling Grima, Ramon Quantitative Methods Data Analysis, Statistics and Probability Physics and Society We report the existence of deterministic patterns in plots showing the relationship between the mean and the Fano factor (ratio of variance and mean) of stochastic count data. These patterns are found in a wide variety of datasets, including those from genomics, paper citations, commerce, ecology, disease outbreaks, and employment statistics. We develop a theory showing that the patterns naturally emerge when data sampled from discrete probability distributions is organised in matrix form. The theory precisely predicts the patterns and shows that they are a function of only one variable - the sample size. |
| title | Universal deterministic patterns in stochastic count data |
| topic | Quantitative Methods Data Analysis, Statistics and Probability Physics and Society |
| url | https://arxiv.org/abs/2405.17530 |