Conway-Maxwell-Poisson Distribution (eBook)

Kimberly F. Sellers (Autor)

eBook Download: PDF

2023
Cambridge University Press (Verlag)
978-1-108-57634-5 (ISBN)

Infos

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.

Produkt-Details

• Erscheint lt. Verlag: 9.3.2023
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik
• Themenwelt: Studium ► Querschnittsbereiche ► Epidemiologie / Med. Biometrie
• Themenwelt: Naturwissenschaften
• ISBN-10: 1-108-57634-6 / 1108576346
• ISBN-13: 978-1-108-57634-5 / 9781108576345