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. 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.

Key features:

• Fills a gap in book literature

• Examines many new Lagrangian probability distributions, their numerous families, general and specific properties, and applications to a variety of different fields

• Presents background mathematical and statistical formulas for easy reference

• Detailed bibliography and index

• Exercises in many chapters

  Graduate students and researchers with a good knowledge of standard statistical techniques and an interest in Lagrangian probability distributions will find this work 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, optimization in manufacturing and marketing, and infectious disease control will benefit immensely from the various applications in the book.

  Klappentext

  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

  • Lagrange Bio Dedication Foreword Preface List of Tables Abbreviations 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 Jumps Models Bivariate Lagrangian Distributions Multivariate Lagrangian Distributions Computer Generation of Lagrangian Variables References * Index