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.
The CAUSE Research Group is supported in part by a member initiative grant from the American Statistical Association’s Section on Statistics and Data Science Education