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Overdispersion [electronic resource] : Notes on discrete distributions

Published
Washington, D.C. : United States. Dept. of Energy, 1992.
Oak Ridge, Tenn. : Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy.
Physical Description
Pages: (91 pages) : digital, PDF file
Additional Creators
Oak Ridge National Laboratory, United States. Department of Energy, National Science Foundation (U.S.), and United States. Department of Energy. Office of Scientific and Technical Information
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Summary
We introduce mixtures of binomial distributions derived by assuming that the probability parameter p varies according to some law. We use the transformation p = exp([minus]t) and consider various appropriate densities for the transformed variables. In the process, the Laplace transform becomes the fundamental entity. Large numbers of new binomial mixtures are generated in this way. Some transformations may involve several variates that lead to multivariate'' binomial mixtures. An extension of this to the logarithmic distribution, with parameter p, is possible. Frullani integrals and Laplace transforms are encountered. Graphical representations of some of the more significant distributions are given. These include probability functions, regions of validity, and three dimensional representations of probability functions showing the response to variation of parameters when two parameters are involved.
Report Numbers
E 1.99:ornl/tm-12167
ornl/tm-12167
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Note
Published through SciTech Connect.
09/01/1992.
"ornl/tm-12167"
"DE93003674"
Shenton, L.R.; Broman, K.; Kastenbaum, M.A.; Bowman, K.O.
Funding Information
AC05-84OR21400
View MARC record | catkey: 14355396