This book presents a comprehensive, systematic treatment of the class of Lagrangian probability distributions, along with some of its families, their properties, and important applications. Lagrangian expansions can be used to obtain numerous useful probability models, which have been applied to real life situations including, but not limited to: branching processes, queuing processes, stochastic processes, environmental toxicology, diffusion of information, ecology, strikes in industries, sales of new products, and production targets for optimum profits. Graduate students, applied scientists and researchers in environmental statistics, reliability, sales management, epidemiology, operations research, optimization in manufacturing and marketing, and infectious disease control will benefit immensely from the various applications in the book.

Fills a gap in book literature Examines many new Lagrangian probability distributions and their applications to a variety of different fields Presents background mathematical and statistical formulas for easy reference Detailed bibliography and index Exercises in many chapters May be used as a reference text or in graduate courses and seminars on Distribution Theory and Lagrangian Distributions

Inhalt
Preliminary Information.- Lagrangian Probability Distributions.- Properties of General Lagrangian Distributions.- Quasi-Probability Models.- Some Urn Models.- Development of Models and Applications.- Modified Power Series Distributions.- Some Basic Lagrangian Distributions.- Generalized Poisson Distribution.- Generalized Negative Binomial Distribution.- Generalized Logarithmic Series Distribution.- Lagrangian Katz Distribution.- Random Walks and Jump Models.- Bivariate Lagrangian Distributions.- Multivariate Lagrangian Distributions.- Computer Generation of Lagrangian Variables.