Elements of Statistics and Probability

  • Sergei V. Petinov
Chapter
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 251)

Abstract

A brief discussion of elements of statistics and theory of probability is given as a necessary component of the reliability assessment of structures in design and in service conditions. Discussed are the definitions of probability of random events and of averages, probability distributions. Considered is the evaluation of averages and histograms when random process is recorded and analyzed. Discussed are the principles of approximation of empirical probability distribution of random variables and random processes.

References

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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • Sergei V. Petinov
    • 1
    • 2
  1. 1.Department of Hydraulics and StrengthInstitute of Civil Engineering, Peter the Great St. Petersburg Polytechnic UniversitySt. PetersburgRussia
  2. 2.Institute for Problems in Mechanical Engineering, Russian Academy of Sciences (IPME RAS)St. PetersburgRussia

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