Accession Number : ADP007185

Title :   An Application of Subregion Adaptive Numerical Integration to a Bayesian Inference Problem,

Corporate Author : WASHINGTON STATE UNIV PULLMAN

Personal Author(s) : Genz, Alan ; Kass, Robert E.

Report Date : 1992

Pagination or Media Count : 4

Abstract : Well-tested and available software for evaluating multidimensional integrals of moderate dimensionality may be adapted for use in Bayesian inference via elementary parameter transformations. We illustrate with an example from cognitive modeling of error rates in computer-based tasks, in which the parameter being integrated is six-dimensional and the integrand itself requires a product of twenty one-dimensional integrations for each function evaluation. This method appears competitive with, and may be superior to, alternative methods when the transformations are well chosen. adaptive integration, hierarchical models, multiple integrals, posterior computation.

Descriptors :   *FUNCTIONS, *INTEGRALS, COMPUTATIONS, COMPUTERS, ERRORS, INTEGRATION, MODELS, ONE DIMENSIONAL, PARAMETERS, RATES, TRANSFORMATIONS.

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE