2. Discrete and Continuous Random Variables

  1. John I. McCool

Published Online: 7 AUG 2012

DOI: 10.1002/9781118351994.ch2

Using the Weibull Distribution: Reliability, Modeling, and Inference

Using the Weibull Distribution: Reliability, Modeling, and Inference

How to Cite

McCool, J. I. (2012) Discrete and Continuous Random Variables, in Using the Weibull Distribution: Reliability, Modeling, and Inference, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118351994.ch2

Publication History

  1. Published Online: 7 AUG 2012
  2. Published Print: 17 AUG 2012

ISBN Information

Print ISBN: 9781118217986

Online ISBN: 9781118351994

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Keywords:

  • discrete and continuous random variables;
  • random variables, as discrete or continuous;
  • unconditional expectation, sum of conditional expectations weighted;
  • continuous random variables and joint density function;
  • lognormal distribution

Summary

This chapter contains sections titled:

  • Probability Distributions

  • Functions of a Random Variable

  • Jointly Distributed Discrete Random Variables

  • Conditional Expectation

  • The Binomial Distribution

  • The Poisson Distribution

  • The Geometric Distribution

  • Continuous Random Variables

  • Jointly Distributed Continuous Random Variables

  • Simulating Samples from Continuous Distributions

  • The Normal Distribution

  • Distribution of the Sample Mean

  • The Lognormal Distribution

  • Simple Linear Regression

  • References

  • Exercises