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Mean and Variance

  • J. G. Kalbfleisch
Part of the Springer Texts in Statistics book series (STS)

Abstract

Let X be a discrete variate with range S and probability function f, and let h be a real-valued function defined on S The expected value of the variate h(X) is a real number given by
$$\sum {\{ h(X)\} = \sum\limits_{x \in X} {h(x)f(x)} } .$$
If probabilities are interpreted as long-run relative frequencies, then E{h(X)} represents the average value of h(X) in infinitely many repetitions of the experiment (Section 1).

Keywords

Probability Function Binomial Distribution Indicator Variable Negative Binomial Distribution Under Sampling 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1985

Authors and Affiliations

  • J. G. Kalbfleisch
    • 1
  1. 1.Department of Statistics and Actuarial ScienceUniversity of WaterlooWaterlooCanada

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