Accounting for selection biases in population analyses: equivalence of the in-likelihood and post-processing approaches
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866929339343306752 |
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| author | Rinaldi, Stefano |
| author_facet | Rinaldi, Stefano |
| contents | In this paper I show the equivalence, under appropriate assumptions, of two alternative methods to account for the presence of selection biases (also called selection effects) in population studies: one is to include the selection effects in the likelihood directly; the other follows the procedure of first inferring the observed distribution and then removing selection effects a posteriori. Moreover, I investigate a potential bias allegedly induced by the latter approach: I show that this procedure, if applied under the appropriate assumptions, does not produce the aforementioned bias. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_06366 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Accounting for selection biases in population analyses: equivalence of the in-likelihood and post-processing approaches Rinaldi, Stefano Methodology Instrumentation and Methods for Astrophysics General Relativity and Quantum Cosmology In this paper I show the equivalence, under appropriate assumptions, of two alternative methods to account for the presence of selection biases (also called selection effects) in population studies: one is to include the selection effects in the likelihood directly; the other follows the procedure of first inferring the observed distribution and then removing selection effects a posteriori. Moreover, I investigate a potential bias allegedly induced by the latter approach: I show that this procedure, if applied under the appropriate assumptions, does not produce the aforementioned bias. |
| title | Accounting for selection biases in population analyses: equivalence of the in-likelihood and post-processing approaches |
| topic | Methodology Instrumentation and Methods for Astrophysics General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2405.06366 |