Nonparametric Bayesian inference for stochastic processes with piecewise constant priors
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866913372240347136 |
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| author | Belomestny, Denis van der Meulen, Frank Spreij, Peter |
| author_facet | Belomestny, Denis van der Meulen, Frank Spreij, Peter |
| contents | We present a survey of some of our recent results on Bayesian nonparametric inference for a multitude of stochastic processes. The common feature is that the prior distribution in the cases considered is on suitable sets of piecewise constant or piecewise linear functions, that differ for the specific situations at hand. Posterior consistency and in most cases contraction rates for the estimators are presented. Numerical studies on simulated and real data accompany the theoretical results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_07432 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Nonparametric Bayesian inference for stochastic processes with piecewise constant priors Belomestny, Denis van der Meulen, Frank Spreij, Peter Statistics Theory Primary: 62G20, Secondary: 62M05 We present a survey of some of our recent results on Bayesian nonparametric inference for a multitude of stochastic processes. The common feature is that the prior distribution in the cases considered is on suitable sets of piecewise constant or piecewise linear functions, that differ for the specific situations at hand. Posterior consistency and in most cases contraction rates for the estimators are presented. Numerical studies on simulated and real data accompany the theoretical results. |
| title | Nonparametric Bayesian inference for stochastic processes with piecewise constant priors |
| topic | Statistics Theory Primary: 62G20, Secondary: 62M05 |
| url | https://arxiv.org/abs/2305.07432 |