Continuous Bivariate Distributions

Softcover Nachdruck of hardcover 2. Auflage 2009
ISBN: 978-1-4419-1875-8
Verlag: Springer

Buch, Englisch, 688 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 1077 g

This volume, which is completely dedicated to continuous bivariate dist- butions, describes in detail their forms, properties, dependence structures, computation, and applications. It is a comprehensive and thorough revision ofanearliereditionof“ContinuousBivariateDistributions,Emphasizing- plications” by T.P. Hutchinson and C.D. Lai, published in 1990 by Rumsby Scienti?c Publishing, Adelaide, Australia. It has been nearly two decades since the publication of that book, and much has changed in this area of research during this period. Generali- tions have been considered for many known standard bivariate distributions. Skewed versions of di?erent bivariate distributions have been proposed and appliedtomodeldatawithskewnessdepartures.Byspecifyingthetwocon- tional distributions, rather than the simple speci?cation of one marginal and one conditional distribution, several general families of conditionally spe- ?ed bivariate distributions have been derived and studied at great length. Finally, bivariate distributions generated by a variety of copulas and their ?exibility (in terms of accommodating association/correlation) and str- tural properties have received considerable attention. All these developments andadvancesnecessitatedthepresentvolumeandhavethusresultedinas- stantially di?erent version than the last edition, both in terms of coverage and topics of discussion.

Zielgruppe

Research

Autoren/Hrsg.

Balakrishnan, N.

Lai, Chin Diew

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Stochastik Mathematische Statistik

Inhaltsverzeichnis

Univariate Distributions.- Bivariate Copulas.- Distributions Expressed as Copulas.- Concepts of Stochastic Dependence.- Measures of Dependence.- Construction of Bivariate Distributions.- Bivariate Distributions Constructed by the Conditional Approach.- Variables-in-Common Method.- Bivariate Gamma and Related Distributions.- Simple Forms of the Bivariate Density Function.- Bivariate Exponential and Related Distributions.- Bivariate Normal Distribution.- Bivariate Extreme-Value Distributions.- Elliptically Symmetric Bivariate Distributions and Other Symmetric Distributions.- Simulation of Bivariate Observations.

Über Autor(innen)

N. BALAKRISHNAN is Professor in the Department of Mathematics and Statistics at McMaster University, Hamilton, Ontario, Canada. He has published numerous research articles in many areas of probability and statistics and has authored a number of books including the four-volume series on Distributions in Statistics, jointly with Norman L. Johnson and S. Kotz, published by Wiley. He is a Fellow of the American Statistical Association and the Institute of Mathematical Statistics, and the Editor-in-Chief of Communications in Statistics and the Executive Editor of Journal of Statistical Planning and Inference.

CHIN-DIEW LAI holds a Personal Chair in Statistics at Massey University, Palmerston North, New Zealand. He has published more than 100 peer-reviewed research articles and co-authored three well-received books. He was a former editor-in-chief and is now an Associate Editor of the Journal of Applied Mathematics and Decision Sciences.