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Univariate Probability Distributions, Lawrence Leemis, Daniel J. Luckett, Austin Powell, Peter J. Vermeer
Univariate Probability Distributions, Lawrence Leemis, Daniel J. Luckett, Austin Powell, Peter J. Vermeer
Arts & Sciences Articles
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 …