Review of Probability Theory, Random Variables, and Random Fields

  • Gordon A. Fenton
  • D. V. Griffiths
Part of the CISM Courses and Lectures book series (CISM, volume 491)

Abstract

Regulatory bodies are increasingly asking geotechnical engineers to provide rational risk assessments to accompany their designs. In order to provide these assessments, practicing geotechnical engineers need a good understanding of both basic probability theory and the more sophisticated, but realistic, random field soil models. This chapter lays the groundwork for this understanding. Starting with the basics of probability, the reader is lead through the theory of random variables and random fields and how they can be used to realistically model spatially variable soils.

Keywords

Probability Density Function Random Field Covariance Function Lognormal Distribution Variance Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© CISM, Udine 2007

Authors and Affiliations

  • Gordon A. Fenton
    • 1
  • D. V. Griffiths
    • 2
  1. 1.Department of Engineering MathematicsDalhousie UniversityCanada
  2. 2.Division of EngineeringColorado School of MinesUSA

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