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Showing papers on "Bayesian inference published in 1973"


Book
01 Jun 1973
TL;DR: In this article, the effect of non-normality on inference about a population mean with generalizations was investigated. But the authors focused on the effect on the mean with information from more than one source.
Abstract: Nature of Bayesian Inference Standard Normal Theory Inference Problems Bayesian Assessment of Assumptions: Effect of Non-Normality on Inferences About a Population Mean with Generalizations Bayesian Assessment of Assumptions: Comparison of Variances Random Effect Models Analysis of Cross Classification Designs Inference About Means with Information from More than One Source: One-Way Classification and Block Designs Some Aspects of Multivariate Analysis Estimation of Common Regression Coefficients Transformation of Data Tables References Indexes.

3,896 citations




Journal ArticleDOI
TL;DR: In this paper, a normative 2-stage model for incorporating reliability measurements of data-reporting sources in a Bayesian inference system is presented, where human subjects are asked to make intuitive inferences about two hypotheses on the basis of sample data which were reported with a given reliability.
Abstract: A normative 2-stage model for incorporating reliability measurements of data-reporting sources in a Bayesian inference system is presented. An experiment required human subjects to make intuitive inferences about two hypotheses on the basis of sample data which were reported with a given reliability. When compared with the optimal model, subjects exhibited systematic errors in estimating the diagnostic impact of less than perfectly reliable data. Their responses reflected the use of specific nonoptimal heuristic strategies to process the information. A utility function was added to the normative model to illustrate how a best choice might be made from among potential data-gathering experiments whose costs increase with their reliabilities. Recommendations for using computer aids to enhance efficiency in inference systems are made

29 citations


Journal ArticleDOI
TL;DR: A normative model for the solution of the general hierarchical inference problem is presented, which begins with a formal description of the hierarchical inference tree, including a discussion of various simplifying conditional independence assumptions.

24 citations


Book
01 Jan 1973

19 citations


Journal ArticleDOI
TL;DR: In this paper, a procedure with exact frequency, Bayesian and fiducial interpretation is given for the problem indicated in the title, which applies with minor changes to other problems of location and scale, is given of the relationship betweeen these three approaches.
Abstract: A procedure with exact frequency, Bayesian and fiducial interpretation is given for the problem indicated in the title. Some discussion, which applies with minor changes to other problems of location and scale, is given of the relationship betweeen these three approaches.

15 citations


Journal ArticleDOI
TL;DR: In this article, it is shown that expectation consistency implies that the posterior distributions are generalized Bayes, under very weak assumptions, and that the implied prior distribution need not be unique.
Abstract: In a previous paper, the authors introduced a new criterion of expectation consistency between probability distributions of discrete data given discrete parameter values and arbitrary posterior probability distributions for the parameter. It is here shown, under very weak assumptions, that expectation consistency implies that the posterior distributions are generalized Bayes. However when the posterior distributions are generalized Bayes, the implied prior distribution need not be unique. The class of implied distributions is characterized in terms of a partition of parameter space.

14 citations


Journal ArticleDOI
TL;DR: In this paper, the authors consider a situation where the random Tariables are such that (n-1) of them are independent and identically distributed with a probability density function (p.d.), and with probability, the remaining one is distributed with p.d.
Abstract: Me consider a situation where the random Tariables are such that (n-1) of them are independent and identically distributed with a probability density function (p.d.f.) , and with probability , the remaining one is distributed with p.d.f. . We will study the behaviour of the Bayesian estimators of the nuisance parameter, mean life and the reliability function under different prior distributions of a and a, The corresponding solutions when the p.d.f. of X's are , will also be outlined.

12 citations



Journal ArticleDOI
V. Barnett1
01 May 1973