Statistics as a Mathematical Discipline

Abstract

It is argued that statistical inference, like other branches of mathematics, should have a structure of axioms and theorems. Such an axiomatic system is described and shown to lead to the likelihood principle. Almost all standard statistical techniques violate that principle. The paper concludes with an example using the Galton-Watson process which demonstrates the power of the principle.

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Document Details

Document Type
Technical Report
Publication Date
Apr 25, 1979
Accession Number
ADA069480

Entities

People

  • D. V. Lindley

Organizations

  • Stanford University

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Bayes Theorem
  • Classification
  • Data Science
  • Data Sets
  • Information Science
  • Mathematics
  • Military Research
  • New York
  • Probability
  • Probability Distributions
  • Sampling
  • Security
  • Standards
  • Statistical Analysis
  • Statistical Inference
  • Statistical Samples
  • Statistics

Readers

  • Mathematical Modeling and Probability Theory.
  • Theoretical Analysis.

Technology Areas

  • AI & ML
  • AI & ML - Bayesian Inference