Table of contents

  1. Front Matter
    Pages i-x
  2. Milan Holický
    Pages 1-4
  3. Milan Holický
    Pages 5-28
  4. Milan Holický
    Pages 29-41
  5. Milan Holický
    Pages 43-52
  6. Milan Holický
    Pages 53-62
  7. Milan Holický
    Pages 63-78
  8. Milan Holický
    Pages 79-93
  9. Milan Holický
    Pages 95-107
  10. Milan Holický
    Pages 109-123
  11. Milan Holický
    Pages 125-138
  12. Milan Holický
    Pages 139-152
  13. Milan Holický
    Pages 153-164
  14. Back Matter
    Pages 165-181

About this book

Introduction

The theory of probability and mathematical statistics is becoming an indispensable discipline in many branches of science and engineering. This is caused by increasing significance of various uncertainties affecting performance of complex technological systems. Fundamental concepts and procedures used in analysis of these systems are often based on the theory of probability and mathematical statistics.

The book sets out fundamental principles of the probability theory, supplemented by theoretical models of random variables, evaluation of experimental data, sampling theory, distribution updating and tests of statistical hypotheses. Basic concepts of Bayesian approach to probability and two-dimensional random variables, are also covered. Examples of reliability analysis and risk assessment of technological systems are used throughout the book to illustrate basic theoretical concepts and their applications.

The primary audience for the book includes undergraduate and graduate students of science and engineering, scientific workers and engineers and specialists in the field of reliability analysis and risk assessment. Except basic knowledge of undergraduate mathematics no special prerequisite is required.

Keywords

Applications Engineering MSC 2010: 60-XX; 62-XX; 97-XX Mathematical statistics Probability

Authors and affiliations

  • Milan Holický
    • 1
  1. 1.Department of Structural ReliabilityCzech Technical University in Prague Klokner InstitutePragueCzech Republic

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-38300-7
  • Copyright Information Springer-Verlag Berlin Heidelberg 2013
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-642-38299-4
  • Online ISBN 978-3-642-38300-7
  • About this book