FUNDAMENTALS OF PROBABILITY THEORY

The components of a pavement system, its loadings and responses, its constitutive materials, and conditions of weather vary in time and location in a random manner. Mathematical models of such systems are known as stochastic processes. This paper presents some fundamentals of probability theory that form the building blocks of such processes. Specific topics treated are deterministic and stochastic systems, randomness and probability, tree diagrams, permutations and computations, conditional probabilities, independence, and Bayes' theorem. Examples are presented to demonstrate the use of the concepts relative to factors entering the analysis, design, construction, and proofing of pavement systems. The concept of chance as it applies to dice or cards is discussed. In this paper a collection of tools is described, and their use is demonstrated. /Author/

Media Info

  • Features: Figures; References;
  • Pagination: p. 1-16
  • Monograph Title: Role of probability and statistics in the structural analysis of pavements
  • Serial:

Subject/Index Terms

Filing Info

  • Accession Number: 00139548
  • Record Type: Publication
  • ISBN: 0309024897
  • Files: TRIS, TRB
  • Created Date: Sep 16 1976 12:00AM