The Conway-Maxwell-Poisson Distribution

By Kimberly F. Sellers

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.

• Format: Hardcover
• Language: English
• ISBN: 1108481108
• ISBN13: 9781108481106
• Release Date: March 2023
• Publisher: Cambridge University Press
• Length: 356 Pages
• Weight: 1.52 lbs.
• Dimensions: 0.9" x 6.0" x 9.0"