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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2603.20071 |
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| _version_ | 1866910061427687424 |
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| author | Bissiri, Pier Giovanni Holmes, Chris Walker, Stephen G. |
| author_facet | Bissiri, Pier Giovanni Holmes, Chris Walker, Stephen G. |
| contents | This paper is concerned with the construction of prior free posterior distributions which rely on the use of one step ahead predictive distribution functions. These are typically more straightforward to motivate than prior distributions. Recent interest has been with Hill's $A_n$ prediction model through what has become known as conformal prediction. This model predicts the next observation to lie with equal probability in the intervals created by the observed data. The prediction model generates complete data sets which can be used to provide posterior inference on any statistic of interest. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_20071 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Posterior inference via Hill's prediction model Bissiri, Pier Giovanni Holmes, Chris Walker, Stephen G. Methodology Statistics Theory This paper is concerned with the construction of prior free posterior distributions which rely on the use of one step ahead predictive distribution functions. These are typically more straightforward to motivate than prior distributions. Recent interest has been with Hill's $A_n$ prediction model through what has become known as conformal prediction. This model predicts the next observation to lie with equal probability in the intervals created by the observed data. The prediction model generates complete data sets which can be used to provide posterior inference on any statistic of interest. |
| title | Posterior inference via Hill's prediction model |
| topic | Methodology Statistics Theory |
| url | https://arxiv.org/abs/2603.20071 |