Catalytic prior distributions with application to generalized linear models

Abstract

We propose a strategy for building prior distributions that stabilize the estimation of complex “working models” when sample sizes are too small for standard statistical analysis. The stabilization is achieved by supplementing the observed data with a small amount of synthetic data generated from the predictive distribution of a simpler model. This class of prior distributions is easy to use and allows direct statistical interpretation.

Document Details

Document Type
Pub Defense Publication
Publication Date
May 15, 2020
Source ID
10.1073/pnas.1920913117

Entities

People

  • Donald B. Rubin
  • Dongming Huang
  • Nathan Stein
  • S. C. Kou

Organizations

  • Division of Information and Intelligent Systems
  • Harvard University
  • National Institute of General Medical Sciences
  • National Science Foundation Division of Mathematical Sciences
  • Office of Naval Research
  • Temple University
  • Tsinghua University
  • spotify.com

Tags

Fields of Study

  • Mathematics

Readers

  • Distributed Systems and Data Platform Development
  • Mathematical Modeling and Probability Theory.
  • Molecular and Cellular Biochemistry