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

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.

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1992
Accession Number
ADP007185

Entities

People

  • Alan Genz
  • Robert E. Kass

Organizations

  • Washington State University

Tags

DTIC Thesaurus Topics

  • Bayesian Inference
  • Computations
  • Computer Science
  • Computers
  • Data Science
  • Engineering
  • Information Science
  • Integrals
  • Mathematical Analysis
  • Mathematics
  • Network Science
  • Numerical Integration
  • Statistics
  • Test And Evaluation
  • Theoretical Computer Science

Readers

  • Calculus or Mathematical Analysis
  • Statistical inference.
  • Team-Based Human-Centered Cognitive Task Decision Making and Information Performance.

Technology Areas

  • AI & ML
  • AI & ML - Bayesian Inference
  • AI & ML - Machine Learning Algorithms