QUANTIFICATION OF OCKHAM'S RAZOR BY VIOLATION OF THE LIKELIHOOD PRINCIPLE.

Abstract

For inference situations with an ancillary statistic, a quantifier, based on a significance level whose calculation involves the distribution of the ancillary statistic, is described which provides a quantification of Ockham's Razor. Its application is proposed for those cases where the method of maximum likelihood fails, due to 'overparametrization', or rather, inadequate experimentation. Examples described include (i) a curve fitting problem (ii) a problem involving the observable convolution of two individually unobservable binomial variables. (Author)

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1966
Accession Number
AD0634768

Entities

People

  • Mervyn Stone

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Binomials
  • Convolution
  • Curve Fitting
  • Mathematical Analysis
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.
  • Military Engineering.
  • Systems Analysis and Design

Technology Areas

  • AI & ML
  • AI & ML - Bayesian Inference