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Lagrangian Probability Distributions

Authors: Consul, Prem C., Famoye, Felix

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About this Textbook

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.

Reviews

From the reviews:

"The book is the first comprehensive presentation of the theory of distributions which are derived and/or closely connected with Lagrange expansions. It gives an overview of the research on this topic published during the last thirty-five years. The text is illustrated with many surprising examples. The book can be recommended for both applied and theoretical statistics." —Mathematical Reviews

"The purpose of this book is to collect most of the research materials in the various journals during the last thirtyfive years and to give a reasonable and systematic account of the class of Lagrangian distributions and some of their properties and applications. … it is meant for graduate students and researchers who have knowledge of standard statistical techniques. Every chapter … are supplied with exercises. The list of references contains 252 positions. The volume of the book is over 350 pages." (Nijole Kalinauskaite, Zentralblatt MATH, Vol. 1101 (3), 2007)

“The book acquaints researchers and graduate students with good mathematical, probabilistic and statistical knowledge, with the present-day stage of the theory of distributions derived from and/or closely connected with Lagrange expansions. … The authors are leading persons in the field. They collected most of the results published in various journals during the last forty years and their work can be considered a textbook for advanced courses and seminars in theoretical and/or applied statistics.” (Gejza Wimmer, Applications of Mathematics, Vol. 56 (6), 2011)


Table of contents (16 chapters)

Table of contents (16 chapters)
  • Preliminary Information

    Pages 1-20

  • Lagrangian Probability Distributions

    Pages 21-49

  • Properties of General Lagrangian Distributions

    Pages 51-68

  • Quasi-Probability Models

    Pages 69-91

  • Some Urn Models

    Pages 93-108

Buy this book

eBook $84.99
price for USA in USD
  • ISBN 978-0-8176-4477-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.99
price for USA in USD
  • ISBN 978-0-8176-4365-2
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Lagrangian Probability Distributions
Authors
Copyright
2006
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Boston
eBook ISBN
978-0-8176-4477-2
DOI
10.1007/0-8176-4477-6
Hardcover ISBN
978-0-8176-4365-2
Edition Number
1
Number of Pages
XX, 352
Topics

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