Author： Stern Rafael B. Pereira Carlos A. de B.
Publisher： MDPI
E-ISSN： 1099-4300|14|11|2254-2264
ISSN： 1099-4300
Source： Entropy, Vol.14, Iss.11, 2012-11, pp. : 2254-2264
Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.
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.
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