Lagrangian Probability Distributions

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 industr...

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Bibliographic Details
Main Authors: Consul, Prem C., Famoye, Felix (Author)
Format: eBook
Language:English
Published: Boston, MA Birkhäuser 2006, 2006
Edition:1st ed. 2006
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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245 0 0 |a Lagrangian Probability Distributions  |h Elektronische Ressource  |c by Prem C. Consul, Felix Famoye 
250 |a 1st ed. 2006 
260 |a Boston, MA  |b Birkhäuser  |c 2006, 2006 
300 |a XX, 352 p  |b online resource 
505 0 |a 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 
653 |a Statistical Theory and Methods 
653 |a Statistics  
653 |a Probability Theory 
653 |a Statistics in Business, Management, Economics, Finance, Insurance 
653 |a Algebra 
653 |a Statistics in Engineering, Physics, Computer Science, Chemistry and Earth Sciences 
653 |a Applications of Mathematics 
653 |a Mathematics 
653 |a Probabilities 
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520 |a 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