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Bayes linear adjustments to improve empirical bayes inference for correlated event rates

Quigley, John and Wilson, Kevin and Bedford, Tim and Walls, Lesley (2012) Bayes linear adjustments to improve empirical bayes inference for correlated event rates. In: PSAM11 & ESREL 2012, 2012-06-25 - 2012-06-29, Helsinki.

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Abstract

Empirical Bayes offers a means of obtaining robust inference by pooling data on processes that have similar, although not identical, rates of occurrence and then adjusting the pooled estimate through Bayes Theorem to adjust the estimate to the experience of each individual process. The accuracy of Empirical Bayes estimates depends on the degree of homogeneity of the processes within the pool. To date, Empirical Bayes inference methods have been developed assuming that rates are statistically independent of one another. While a useful starting assumption, it may not be realistic in practice. In this paper we develop an approach to estimate the rates of occurrence of events assuming correlations exist between the rates. The approach developed uses the Method of Moments to find Empirical Bayes estimates of the model parameters. These estimates are adjusted to give individual estimates for each event using Bayes linear methods, a linear fitting procedure which uses a similar subjective basis for inference as a full Bayesian analysis. We compare the accuracy of the estimates obtained with our proposed methods relative to exact inference for a full Bayesian model based on a Homogeneous Poisson Process (HPP) with a multivariate gamma prior distribution.

Item type: Conference or Workshop Item (Paper)
ID code: 40920
Keywords: correlated event rates, homogeneous poisson process, bayes linear, empirical bayes inference, linear adjustments , Management. Industrial Management
Subjects: Social Sciences > Industries. Land use. Labor > Management. Industrial Management
Department: Strathclyde Business School > Management Science
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Depositing user: Pure Administrator
Date Deposited: 17 Aug 2012 15:14
Last modified: 04 Oct 2012 17:58
URI: http://strathprints.strath.ac.uk/id/eprint/40920

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