Document Type
Article
Department/Program
Mathematics
Journal Title
Journal of Statistics Education
Pub Date
2012
Publisher
Taylor & Francis
Volume
20
Issue
3
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 probability density function and cumulative distribution function, graphs of the probability density function 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 online on 11/30/12 at the URL www.math.wm.edu/ leemis/chart/UDR/UDR.html.
Recommended Citation
Leemis, Lawrence; Luckett, Daniel J.; Powell, Austin; and Vermeer, Peter J., Univariate Probability Distributions (2012). Journal of Statistics Education, 20(3).
https://doi.org/10.1080/10691898.2012.11889648
DOI
https://doi.org/10.1080/10691898.2012.11889648
Publisher Statement
This version is the accepted (post-print) version of the manuscript.
