Lagrangian Probability DistributionsLagrangian 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. 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. |
Contents
Lagrangian Probability Distributions | 21 |
Properties of General Lagrangian Distributions | 51 |
QuasiProbability Models | 69 |
Some Urn Models 93 | 92 |
Development of Models and Applications | 109 |
Modified Power Series Distributions | 121 |
Some Basic Lagrangian Distributions 143 | 142 |
Generalized Poisson Distribution | 165 |
Generalized Logarithmic Series Distribution 223 | 222 |
Lagrangian Katz Distribution | 241 |
Random Walks and Jump Models | 253 |
Bivariate Lagrangian Distributions 269 | 268 |
Multivariate Lagrangian Distributions | 293 |
Computer Generation of Lagrangian Variables | 317 |
| 336 | |
| 347 | |