Next Article in Journal
Is Cholesterol Sulfate Deficiency a Common Factor in Preeclampsia, Autism, and Pernicious Anemia?
Previous Article in Journal
Empirical Data Confirm Autism Symptoms Related to Aluminum and Acetaminophen Exposure
Article Menu

Export Article

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

Statistical Information: A Bayesian Perspective

1
Department of Statistics, Carnegie Mellon University, 5000 Forbes Ave, Pittsburgh, PA 15213, USA
2
Instituto de Matemática e Estatística, Universidade de São Paulo, Rua do Matão 1010, 05508-900, São Paulo, Brazil
*
Author to whom correspondence should be addressed.
Received: 15 August 2012 / Revised: 28 September 2012 / Accepted: 1 November 2012 / Published: 7 November 2012
View Full-Text   |   Download PDF [203 KB, uploaded 24 February 2015]

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. View Full-Text
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 (CC BY 3.0).

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

SciFeed Share & Cite This Article

MDPI and ACS Style

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

Show more citation formats Show less citations formats

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Entropy EISSN 1099-4300 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top