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The Conway–Maxwell–Poisson Distribution (Institute of Mathematical Statistics Monographs, Series Number 8) (in English)
Kimberly F. Sellers
(Author)
·
Cambridge University Press
· Hardcover
The Conway–Maxwell–Poisson Distribution (Institute of Mathematical Statistics Monographs, Series Number 8) (in English) - Sellers, Kimberly F.
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Synopsis "The Conway–Maxwell–Poisson Distribution (Institute of Mathematical Statistics Monographs, Series Number 8) (in 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.
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The book is written in English.
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