The ARR2 prior: flexible predictive prior definition for Bayesian auto-regressions
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866916643540566016 |
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| author | Kohns, David Kallioinen, Noa McLatchie, Yann Vehtari, Aki |
| author_facet | Kohns, David Kallioinen, Noa McLatchie, Yann Vehtari, Aki |
| contents | We present the ARR2 prior, a joint prior over the auto-regressive components in Bayesian time-series models and their induced $R^2$. Compared to other priors designed for times-series models, the ARR2 prior allows for flexible and intuitive shrinkage. We derive the prior for pure auto-regressive models, and extend it to auto-regressive models with exogenous inputs, and state-space models. Through both simulations and real-world modelling exercises, we demonstrate the efficacy of the ARR2 prior in improving sparse and reliable inference, while showing greater inference quality and predictive performance than other shrinkage priors. An open-source implementation of the prior is provided. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_19920 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The ARR2 prior: flexible predictive prior definition for Bayesian auto-regressions Kohns, David Kallioinen, Noa McLatchie, Yann Vehtari, Aki Computation Econometrics We present the ARR2 prior, a joint prior over the auto-regressive components in Bayesian time-series models and their induced $R^2$. Compared to other priors designed for times-series models, the ARR2 prior allows for flexible and intuitive shrinkage. We derive the prior for pure auto-regressive models, and extend it to auto-regressive models with exogenous inputs, and state-space models. Through both simulations and real-world modelling exercises, we demonstrate the efficacy of the ARR2 prior in improving sparse and reliable inference, while showing greater inference quality and predictive performance than other shrinkage priors. An open-source implementation of the prior is provided. |
| title | The ARR2 prior: flexible predictive prior definition for Bayesian auto-regressions |
| topic | Computation Econometrics |
| url | https://arxiv.org/abs/2405.19920 |