Locally weighted minimum contrast estimation for spatio-temporal log-Gaussian Cox processes
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866910362975076352 |
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| author | D'Angelo, Nicoletta Adelfio, Giada Mateu, Jorge |
| author_facet | D'Angelo, Nicoletta Adelfio, Giada Mateu, Jorge |
| contents | We propose a local version of spatio-temporal log-Gaussian Cox processes using Local Indicators of Spatio-Temporal Association (LISTA) functions into the minimum contrast procedure to obtain space as well as time-varying parameters.
We resort to the joint minimum contrast fitting method to estimate the set of second-order parameters. This approach has the advantage of being suitable in both separable and non-separable parametric specifications of the correlation function of the underlying Gaussian Random Field.
We present simulation studies to assess the performance of the proposed fitting procedure, and show an application to seismic spatio-temporal point pattern data. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_07153 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Locally weighted minimum contrast estimation for spatio-temporal log-Gaussian Cox processes D'Angelo, Nicoletta Adelfio, Giada Mateu, Jorge Methodology Computation We propose a local version of spatio-temporal log-Gaussian Cox processes using Local Indicators of Spatio-Temporal Association (LISTA) functions into the minimum contrast procedure to obtain space as well as time-varying parameters. We resort to the joint minimum contrast fitting method to estimate the set of second-order parameters. This approach has the advantage of being suitable in both separable and non-separable parametric specifications of the correlation function of the underlying Gaussian Random Field. We present simulation studies to assess the performance of the proposed fitting procedure, and show an application to seismic spatio-temporal point pattern data. |
| title | Locally weighted minimum contrast estimation for spatio-temporal log-Gaussian Cox processes |
| topic | Methodology Computation |
| url | https://arxiv.org/abs/2209.07153 |