Statistical Information: A Bayesian Perspective

Rafael B. Stern, Carlos A. de B. Pereira
2012 Entropy  
We explore the concept of information in statistics: information about unknown quantities of interest, the parameters. We discuss intuitive ideas of what should be information in statistics. Our approach on information is divided in two scenarios: observed data and planning of an experiment. On the first scenario, we discuss the Sufficiency Principle, the Conditionality Principle, the Likelihood Principle and their relationship with trivial experiments. We also provide applications of some
more » ... res of information to an intuitive example. On the second scenario, the definition and new applications of Blackwell Sufficiency are presented. We discuss a new relationship between Blackwell Equivalence and the Likelihood Principle. Finally, the expected values of some measures of information are calculated.
doi:10.3390/e14112254 fatcat:e5k5caeo5nhixdpvcyffdzixi4