Fundamentals of Probability Theory

  • Palle Thoft-Christensen
  • Michael J. Baker

Abstract

As emphasized in chapter 1, modern structural reliability analysis is based on a probabilistic point of view. It is therefore important to get a profound knowledge of at least some part of probability theory. It is beyond the scope of this book to give a thorough presentation of probability theory on a rigorous axiomatic basis. What is needed to understand the following chapters is some knowledge of the fundamental assumptions of modern probability theory, combined with a number of definitions and theorems. It will be assumed that the reader is familiar with the terminology and the algebra of simple set theory.

Keywords

Covariance 

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Bibliography

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    Ditlevsen, O.: Uncertainty Modeling. McGraw-Hill, N.Y., 1981.MATHGoogle Scholar
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Copyright information

© Springer-Verlag Berlin, Heidelberg 1982

Authors and Affiliations

  • Palle Thoft-Christensen
    • 1
  • Michael J. Baker
    • 2
  1. 1.Institute of Building Technology and Structural EngineeringAalborg University CentreAalborgDenmark
  2. 2.Department of Civil EngineeringImperial College of Science and TechnologyLondonEngland

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