[PDF][PDF] On the development of the reference prior method

JO Berger, JM Bernardo - Bayesian statistics, 1992 - stat.duke.edu
The paper begins with a general, though ideosynchratic, discussion of noninformative priors.
This provides the background for motivating the recent and ongoing elaborations of the …

[图书][B] A catalog of noninformative priors

R Yang, JO Berger - 1996 - stats.org.uk
PRELIMINARY DRAFT: This draft of the catalog is incomplete, with much remaining to be
filled in and/or added. We are circulating this draft in the hopes that readers will know of …

Estimating a product of means: Bayesian analysis with reference priors

JO Berger, JM Bernardo - Journal of the American Statistical …, 1989 - Taylor & Francis
Suppose that we observe X∼ N (α, 1) and, independently, Y∼ N (β, 1), and are concerned
with inference (mainly estimation and confidence statements) about the product of means θ …

Some remarks on noninformative priors

GS Datta, M Ghosh - Journal of the American Statistical Association, 1995 - Taylor & Francis
This article focuses primarily on a comparison between the reference priors of Berger and
Bernardo and the reverse reference priors suggested by JK Ghosh. Sufficient conditions are …

[PDF][PDF] Noninformative bayesian priors. interpretation and problems with construction and applications

AR Syversveen - Preprint statistics, 1998 - yaroslavvb.com
Central in Bayesian statistics is Bayes' theorem, which can be written as follows:(jx)/f (xj)():
Given the likelihood function f (xj) and the prior (), it is easy to calculate the posterior …

[PDF][PDF] Formal rules for selecting prior distributions: A review and annotated bibliography

RE Kass, L Wasserman - Journal of the American Statistical Association, 1996 - Citeseer
Subjectivism has become the dominant philosophical foundation for Bayesian inference.
Yet, in practice, most Bayesian analyses are performed with so-called\noninformative" …

Reference posterior distributions for Bayesian inference

JM Bernardo - Journal of the Royal Statistical Society Series B …, 1979 - academic.oup.com
A procedure is proposed to derive reference posterior distributions which approximately
describe the inferential content of the data without incorporating any other information. More …

Reference priors with partial information

D Sun, JO Berger - Biometrika, 1998 - academic.oup.com
In this paper, reference priors are derived for three cases where partial information is
available. If a subjective conditional prior is given, two reasonable methods are proposed for …

Noninformative priors for one parameter of many

R Tibshirani - Biometrika, 1989 - academic.oup.com
We consider the problem of constructing a prior that is 'noninformative'for a single parameter
in the presence of nuisance parameters. Our approach is to require that the resulting …

The selection of prior distributions by formal rules

RE Kass, L Wasserman - Journal of the American statistical …, 1996 - Taylor & Francis
Subjectivism has become the dominant philosophical foundation for Bayesian inference. Yet
in practice, most Bayesian analyses are performed with so-called “noninformative” priors …