Lagrangian expansions can be used to obtain numerous very 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 amount of production for optimum profits. This book is a comprehensive, systematic treatment of the two classes of Lagrangian probability distributions along with some of their sub-families and their properties; important applications are also given.Graduate students and researchers interested in Lagrangian probability distributions, who have sound knowledge of standard statistical techniques, will find this book valuable. It may be used as a reference text or in courses and seminars on distribution theory and Lagrangian distributions. Applied scientists and researchers in environmental statistics, reliability, sales management, epidemiology, operations research, and the optimization of profits in manufacturing and marketing will benefit immensely from the various applications in the book.

Applied Statistics presents a thorough treatment of the methods of regression and analysis of variance. The book focuses on conceptual understandings of statistical methods in regression and analysis of variance as well as the use of statistical software to obtain correct results. Real data examples from many fields of study are used to motivate the presentation and illustrate the concepts and methods. Almost all of the examples in the book are accompanied with their corresponding SAS programs. The R programs are available on the following website: http: //people.cst.cmich.edu/famoy1kf/appliedstat. This textbook is user-friendly and simplifies the presentation of complicated material. Applied Statistics requires an understanding of introductory statistics courses and is suitable for both junior and senior undergraduate students