Maximum-Entropy Priors with Derived Parameters in a Specified Distribution
We propose a method for transforming probability distributions so that parameters of interest are forced into a specified distribution. We prove that this approach is the maximum-entropy choice, and provide a motivating example, applicable to neutrino-hierarchy inference.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2019-03-01
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| Series: | Entropy |
| Subjects: | |
| Online Access: | http://www.mdpi.com/1099-4300/21/3/272 |
| _version_ | 1798005189283676160 |
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| author | Will Handley Marius Millea |
| author_facet | Will Handley Marius Millea |
| author_sort | Will Handley |
| collection | DOAJ |
| description | We propose a method for transforming probability distributions so that parameters of interest are forced into a specified distribution. We prove that this approach is the maximum-entropy choice, and provide a motivating example, applicable to neutrino-hierarchy inference. |
| first_indexed | 2024-04-11T12:36:19Z |
| format | Article |
| id | doaj.art-1422736e88f34e8ab7875ac60cfa3c90 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-11T12:36:19Z |
| publishDate | 2019-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-1422736e88f34e8ab7875ac60cfa3c902022-12-22T04:23:37ZengMDPI AGEntropy1099-43002019-03-0121327210.3390/e21030272e21030272Maximum-Entropy Priors with Derived Parameters in a Specified DistributionWill Handley0Marius Millea1Astrophysics Group, Cavendish Laboratory, J.J.Thomson Avenue, Cambridge CB3 0HE, UKInstitut dAstrophysique de Paris (IAP), UMR 7095, CNRS UPMC Universit Paris 6, Sorbonne Universits, 98bis Boulevard Arago, F-75014 Paris, FranceWe propose a method for transforming probability distributions so that parameters of interest are forced into a specified distribution. We prove that this approach is the maximum-entropy choice, and provide a motivating example, applicable to neutrino-hierarchy inference.http://www.mdpi.com/1099-4300/21/3/272maximum entropyBayesian inferencepriorderived distributionneutrino hierarchy |
| spellingShingle | Will Handley Marius Millea Maximum-Entropy Priors with Derived Parameters in a Specified Distribution Entropy maximum entropy Bayesian inference prior derived distribution neutrino hierarchy |
| title | Maximum-Entropy Priors with Derived Parameters in a Specified Distribution |
| title_full | Maximum-Entropy Priors with Derived Parameters in a Specified Distribution |
| title_fullStr | Maximum-Entropy Priors with Derived Parameters in a Specified Distribution |
| title_full_unstemmed | Maximum-Entropy Priors with Derived Parameters in a Specified Distribution |
| title_short | Maximum-Entropy Priors with Derived Parameters in a Specified Distribution |
| title_sort | maximum entropy priors with derived parameters in a specified distribution |
| topic | maximum entropy Bayesian inference prior derived distribution neutrino hierarchy |
| url | http://www.mdpi.com/1099-4300/21/3/272 |
| work_keys_str_mv | AT willhandley maximumentropypriorswithderivedparametersinaspecifieddistribution AT mariusmillea maximumentropypriorswithderivedparametersinaspecifieddistribution |