This Title All WIREs
How to cite this WIREs title:
WIREs Comp Stat

Frameworks for prior‐free posterior probabilistic inference

Full article on Wiley Online Library:   HTML PDF

Can't access this content? Tell your librarian.

The development of statistical methods for valid and efficient probabilistic inference without prior distributions has a long history. Fisher's fiducial inference is perhaps the most famous of these attempts. We argue that, despite its seemingly prior‐free formulation, fiducial and its various extensions are not prior‐free and, therefore, do not meet the requirements for prior‐free probabilistic inference. In contrast, the inferential model (IM) framework is genuinely prior‐free and is shown to be a promising new method for generating both valid and efficient probabilistic inference. With a brief introduction to the two fundamental principles, namely, the validity and efficiency principles, the three‐step construction of the basic IM framework is discussed in the context of the validity principle. Efficient IM methods, based on conditioning and marginalization are illustrated with two benchmark examples, namely, the bivariate normal with unknown correlation coefficient and the Behrens–Fisher problem. WIREs Comput Stat 2015, 7:77–85. doi: 10.1002/wics.1329 This article is categorized under: Statistical and Graphical Methods of Data Analysis > Bayesian Methods and Theory
Plots of the plausibility function for γ = σ/μ, the coefficient of variation, based on samples of size n = 50 from N(μ, 1) for two values of μ. (a) μ = 1, (b) μ = 0.
[ Normal View | Magnified View ]

Browse by Topic

Statistical and Graphical Methods of Data Analysis > Bayesian Methods and Theory

Access to this WIREs title is by subscription only.

Recommend to Your
Librarian Now!

The latest WIREs articles in your inbox

Sign Up for Article Alerts