Chapter 1: Randomness

  • Walter Freiberger
  • Ulf Grenander
Part of the Applied Mathematical Sciences book series (AMS, volume 6)

Abstract

The concept of randomness is fundamental in probability theory and statistics, but also most controversial. Among the many interpretations of terms like probability, likelihood, etc., we shall consider two in this course: the usual frequency approach (in this chapter) and the Bayesian one (in chapter 6: “Decision problems”). One should actually not speak of a single frequency approach, since there are several variations of it. That most commonly adopted in the textbook literature is to start from the idea of a random experiment and carry out the mathematical formalization as follows.

Keywords

Toxicity Manifold Covariance Income Dition 

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Copyright information

© Brown University 1971

Authors and Affiliations

  • Walter Freiberger
    • 1
  • Ulf Grenander
    • 1
  1. 1.Division of Applied MathematicsBrown UniversityProvidenceUSA

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