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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2212.03743 |
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| _version_ | 1866909219932864512 |
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| author | Kimpton, Louise Challenor, Peter Wynn, Henry |
| author_facet | Kimpton, Louise Challenor, Peter Wynn, Henry |
| contents | Binary data are highly common in many applications, however it is usually modelled with the assumption that the data are independently and identically distributed. This is typically not the case in many real-world examples and such the probability of a success can be dependent on the outcome successes of past events. The de Bruijn process (DBP) was introduced in Kimpton et al. [2022]. This is a correlated Bernoulli process which can be used to model binary data with known correlation. The correlation structures are included through the use of de Bruijn graphs, giving an extension to Markov chains. Given the DBP and an observed sequence of binary data, we present a method of inference using Bayes' factors. Results are applied to the Oxford and Cambridge annual boat race. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_03743 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Modelling Correlated Bernoulli Data Part II: Inference Kimpton, Louise Challenor, Peter Wynn, Henry Methodology Statistics Theory Binary data are highly common in many applications, however it is usually modelled with the assumption that the data are independently and identically distributed. This is typically not the case in many real-world examples and such the probability of a success can be dependent on the outcome successes of past events. The de Bruijn process (DBP) was introduced in Kimpton et al. [2022]. This is a correlated Bernoulli process which can be used to model binary data with known correlation. The correlation structures are included through the use of de Bruijn graphs, giving an extension to Markov chains. Given the DBP and an observed sequence of binary data, we present a method of inference using Bayes' factors. Results are applied to the Oxford and Cambridge annual boat race. |
| title | Modelling Correlated Bernoulli Data Part II: Inference |
| topic | Methodology Statistics Theory |
| url | https://arxiv.org/abs/2212.03743 |