Samuel Kotz, Tomasz Kozubowski, Krzystof Podgorski

The Laplace Distribution and Generalizations (eBook, PDF)

A Revisit with Applications to Communications, Economics, Engineering, and Finance

• Format: PDF

Produktbeschreibung

This monograph focuses on the importance of reviving the Laplace distribution and describes the inferential and modeling advantages which this distribution, together with its generalizations and modifications, offers. An increasing number of researchers in various fields find the Laplace distribution attractive and a theoretically sound alternative to normal and related distributions (i.e., Gauss and the method of least squares). Key features of this work include: * historical introduction to the subject * presentation of topics barely covered in the literature including, the univariate Laplace distribution, and the multivariate and skewed Laplace distribution * new results presented * usefulness in financial applications * numerous examples, suggestions of open problems, and exercises * comprehensive index and bibliography * ideal text for a graduate course/seminar on statistical distributions This work will serve a broad audience of graduate students, statisticians, finance experts, economists, engineers, and health scientists. The text below can also be used as booksellers text: Focuses on the importance of reviving the Laplace distribution and describes the inferential and modeling advantages which this distribution, together with its generalizations and modifications, offers. An historical introduction to the subject is given and new results are presented. The exposition systematically unfolds with many examples, tables, illustrations, exercises, and open problems. Also included: a section devoted to financial applications, comprehensive index, and extensive bibliography. For a broad audience of graduate students, statisticians, finance experts, economists, engineers, and health scientists.

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Produktdetails

• Verlag: Birkhäuser Boston
• Seitenzahl: 349
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9781461201731
• Artikelnr.: 44209710

Autorenporträt

Samuel Kotz, PhD, honorary Doctor of Science, is professor and research scholar at the Department of Engineering Management and Systems Engineering at George Washington University in Washington, D.C.

Inhaltsangabe

I Univariate Distributions.- 1 Historical Background.- 2 Classical Symmetric Laplace Distribution.- 3 Asymmetric Laplace Distributions.- 4 Related Distributions.- II Multivariate Distributions.- 5 Symmetric Multivariate Laplace Distribution.- 6 Asymmetric Multivariate Laplace Distribution.- III Applications.- 7 Engineering Sciences.- 8 Financial Data.- 9 Inventory Management and Quality Control.- 10 Astronomy and the Biological and Environmental Sciences.- Appendix: Bessel Functions.- References.

Rezensionen

From the reviews:

"This book will be useful for those who are interested in tractable models which allow one to go beyond the normal distribution." (ISI SHORT BOOK REVIEWS)

" A useful source of information for research in applied and theoretical statistics. No doubt, this volume will become a necessary part of any mathematical and statistical library as well as of a number of technical libraries."(MATHEMATICAL REVIEWS)

"This book is devoted to presenting properties, generalizations and applications of the Laplace distribution ... This distribution is a natural and sometimes superior alternative to the normal distribution ... The rich set of exercises is an integral part of the discussion."(ZENTRALBLATT MATH)