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Univariate Probability Distributions

In: Computational Probability Applications

Author

Listed:
  • Lawrence M. Leemis

    (The College of William and Mary)

  • Daniel J. Luckett

    (William and Mary)

  • Austin G. Powell

    (Hilton)

  • Peter E. Vermeer

    (United States Coast Guard)

Abstract

We describe a web-based interactive graphic that can be used as a resource in introductory classes in mathematical statistics. This interactive graphic presents 76 common univariate distributions and gives details on (a) various features of the distribution such as the functional form of the PDF and CDF, graphs of the PDF for various parameter settings, and values of population moments; (b) properties that the distribution possesses, for example, linear combinations of independent random variables from a particular distribution family also belong to the same distribution family; and (c) relationships between the various distributions, including special cases, transformations, limiting distributions, and Bayesian relationships. The interactive graphic went on-line on 11/30/12 at the URL www.math.wm.edu/ ∼ leemis/chart/UDR/UDR.html. As of May 2016, the site has had 42,000 page views from 35,000 unique visitors.

Suggested Citation

  • Lawrence M. Leemis & Daniel J. Luckett & Austin G. Powell & Peter E. Vermeer, 2017. "Univariate Probability Distributions," International Series in Operations Research & Management Science, in: Andrew G. Glen & Lawrence M. Leemis (ed.), Computational Probability Applications, chapter 11, pages 133-147, Springer.
    • Handle: RePEc:spr:isochp:978-3-319-43317-2_11
    DOI: 10.1007/978-3-319-43317-2_11
    as

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