Statistical Information: A Bayesian Perspective
We explore the meaning of information about quantities of interest. Our approach is divided in two scenarios: the analysis of observations and the planning of an experiment. First, we review the Sufficiency, Conditionality and Likelihood principles and how they relate to trivial experiments. Next, w...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2012-11-01
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| Series: | Entropy |
| Subjects: | |
| Online Access: | http://www.mdpi.com/1099-4300/14/11/2254 |
| _version_ | 1828117849580765184 |
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| author | Carlos A. de B. Pereira Rafael B. Stern |
| author_facet | Carlos A. de B. Pereira Rafael B. Stern |
| author_sort | Carlos A. de B. Pereira |
| collection | DOAJ |
| description | We explore the meaning of information about quantities of interest. Our approach is divided in two scenarios: the analysis of observations and the planning of an experiment. First, we review the Sufficiency, Conditionality and Likelihood principles and how they relate to trivial experiments. Next, we review Blackwell Sufficiency and show that sampling without replacement is Blackwell Sufficient for sampling with replacement. Finally, we unify the two scenarios presenting an extension of the relationship between Blackwell Equivalence and the Likelihood Principle. |
| first_indexed | 2024-04-11T13:21:05Z |
| format | Article |
| id | doaj.art-24f096c7a5174ff0a679d99f80ed7227 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-11T13:21:05Z |
| publishDate | 2012-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-24f096c7a5174ff0a679d99f80ed72272022-12-22T04:22:11ZengMDPI AGEntropy1099-43002012-11-0114112254226410.3390/e14112254Statistical Information: A Bayesian PerspectiveCarlos A. de B. PereiraRafael B. SternWe explore the meaning of information about quantities of interest. Our approach is divided in two scenarios: the analysis of observations and the planning of an experiment. First, we review the Sufficiency, Conditionality and Likelihood principles and how they relate to trivial experiments. Next, we review Blackwell Sufficiency and show that sampling without replacement is Blackwell Sufficient for sampling with replacement. Finally, we unify the two scenarios presenting an extension of the relationship between Blackwell Equivalence and the Likelihood Principle.http://www.mdpi.com/1099-4300/14/11/2254statistical informationBlackwell sufficiencylikelihood principle |
| spellingShingle | Carlos A. de B. Pereira Rafael B. Stern Statistical Information: A Bayesian Perspective Entropy statistical information Blackwell sufficiency likelihood principle |
| title | Statistical Information: A Bayesian Perspective |
| title_full | Statistical Information: A Bayesian Perspective |
| title_fullStr | Statistical Information: A Bayesian Perspective |
| title_full_unstemmed | Statistical Information: A Bayesian Perspective |
| title_short | Statistical Information: A Bayesian Perspective |
| title_sort | statistical information a bayesian perspective |
| topic | statistical information Blackwell sufficiency likelihood principle |
| url | http://www.mdpi.com/1099-4300/14/11/2254 |
| work_keys_str_mv | AT carlosadebpereira statisticalinformationabayesianperspective AT rafaelbstern statisticalinformationabayesianperspective |