Statistical Information: A Bayesian Perspective

Entropy

Rafael B. Stern¹ 

[1] Department of Statistics, Carnegie Mellon University, 5000 Forbes Ave, Pittsburgh, PA 15213, USA

关键词: statistical information;    Blackwell sufficiency;    likelihood principle;   

DOI  :  10.3390/e14112254

来源: mdpi

【 摘 要 】

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.

【 授权许可】

CC BY   
© 2012 by the authors; licensee MDPI, Basel, Switzerland.