Skip Navigation

Biometrika 1990 77(1):115-126;
© 1990 by Biometrika Trust
This Article
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by HILL, J. R.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

Articles

A general framework for model-based statistics

JOE R. HILL

EDS Research 5951 Jefferson St. NE, Albuquerque, New Mexico 87109, U.S.A.

Received for publication 1 March 1988. Revision received 1 August 1989.
  Abstract

This paper presents a general framework for model-based statistics. The framework is based on extended concepts of sufficiency and ancillarity. The fundamental theorem of the new theory exhibits in a single equation the reference distributions for decision theory, model checking, and conditional inference for a general statistical model. The theorem includes the equations upon which Bayesian and frequentist statistics are founded. The general theory also fills two gaps previously missing from empirical Bayesian statistics: concepts of sufficiency and conditional inference.

Key Words: Ancillarity • Bayesian statistics • Conditional inference • Empirical Bayesian statistics • Frequentist statistics • Stein's estimator • Sufficiency


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?


This article has been cited by other articles:


Home page
 Int J EpidemiolHome page
S. Greenland
Principles of multilevel modelling
Int. J. Epidemiol., February 1, 2000; 29(1): 158 - 167.
[Abstract] [Full Text] [PDF]


Disclaimer:
Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.