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Entropy 2012, 14(11), 2254-2264; doi:10.3390/e14112254

Statistical Information: A Bayesian Perspective

1,*  and 2
Received: 15 August 2012 / Revised: 28 September 2012 / Accepted: 1 November 2012 / Published: 7 November 2012
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Abstract: 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.
Keywords: statistical information; Blackwell sufficiency; likelihood principle statistical information; Blackwell sufficiency; likelihood principle
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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MDPI and ACS Style

Stern, R.B.; Pereira, C.A.B. Statistical Information: A Bayesian Perspective. Entropy 2012, 14, 2254-2264.

AMA Style

Stern RB, Pereira CAB. Statistical Information: A Bayesian Perspective. Entropy. 2012; 14(11):2254-2264.

Chicago/Turabian Style

Stern, Rafael B.; Pereira, Carlos A. de B. 2012. "Statistical Information: A Bayesian Perspective." Entropy 14, no. 11: 2254-2264.

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