2. Reliability Mathematics

  1. Patrick D. T. O'Connor and
  2. Andre Kleyner

Published Online: 29 NOV 2011

DOI: 10.1002/9781119961260.ch2

Practical Reliability Engineering, Fifth Edition

Practical Reliability Engineering, Fifth Edition

How to Cite

O'Connor, P. D. T. and Kleyner, A. (2011) Reliability Mathematics, in Practical Reliability Engineering, Fifth Edition, John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/9781119961260.ch2

Author Information

Publication History

  1. Published Online: 29 NOV 2011
  2. Published Print: 23 DEC 2011

ISBN Information

Print ISBN: 9780470979822

Online ISBN: 9781119961260

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Keywords:

  • reliability mathematics;
  • reliability statistics;
  • discrete, continuous and point processes;
  • statistical techniques, optimizing design;
  • continuous variation;
  • pdf and reliability;
  • Probability Density Function (pdf);
  • continuous distribution;
  • Goodness-of-fit testing;
  • stochastic point processes

Summary

This chapter contains sections titled:

  • Introduction

  • Variation

  • Probability Concepts

  • Rules of Probability

  • Continuous Variation

  • Continuous Distribution Functions

  • Summary of Continuous Statistical Distributions

  • Variation in Engineering

  • Conclusions

  • Discrete Variation

  • Statistical Confidence

  • Statistical Hypothesis Testing

  • Non-Parametric Inferential Methods

  • Goodness of Fit

  • Series of Events (Point Processes)

  • Computer Software for Statistics

  • Practical Conclusions

  • Questions

  • Bibliography