Conway Maxwell Poisson Distribution Probability Theory (1 results)

Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - Please note that the content of this book primarily consists of articlesavailable from Wikipedia or other free sources online. In probabilitytheory and statistics, the Poisson distribution is the most commondistribution used to model count data. However, due to the Poissondistribution's reliance on a single parameter (the mean), dataexhibiting overdispersion or underdispersion under the Poisson modelmust be modeled under alternative distributions to account for thesestatistically significant deviations. Typically, the negative binomialdistribution is used to model data with over-dispersion, however theConway-Maxwell-Poisson (CMP or COM-Poisson) distribution provides animproved, yet relatively unknown, alternative. In particular, the CMPdistribution is suitable for over and under-dispersed data, and is amember of the exponential family, which has many favorable properties.…