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612-822-4611
The Conway-Maxwell-Poisson Distribution

The Conway-Maxwell-Poisson Distribution

Hardcover

Series: Institute of Mathematical Statistics Monographs, Book 8

Probability & Statistics

ISBN10: 1108481108
ISBN13: 9781108481106
Publisher: Cambridge University Press
Published: Mar 9 2023
Pages: 356
Weight: 1.52
Height: 0.94 Width: 6.00 Depth: 9.00
Language: English
While the Poisson distribution is a classical statistical model for count data, the distributional model hinges on the constraining property that its mean equal its variance. This text instead introduces the Conway-Maxwell-Poisson distribution and motivates its use in developing flexible statistical methods based on its distributional form. This two-parameter model not only contains the Poisson distribution as a special case but, in its ability to account for data over- or under-dispersion, encompasses both the geometric and Bernoulli distributions. The resulting statistical methods serve in a multitude of ways, from an exploratory data analysis tool, to a flexible modeling impetus for varied statistical methods involving count data. The first comprehensive reference on the subject, this text contains numerous illustrative examples demonstrating R code and output. It is essential reading for academics in statistics and data science, as well as quantitative researchers and data analysts in economics, biostatistics and other applied disciplines.

Also from

Sellers, Kimberly F.

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Probability & Statistics