عنوان

Laws of small numbers :

(Number (ISBN

3034800096

(Number (ISBN

9783034800099

Erroneous ISBN

3034800088

Erroneous ISBN

9783034800082

Number

b768349

Title Proper

Laws of small numbers :

General Material Designation

[Book]

Other Title Information

extremes and rare events /

First Statement of Responsibility

Michael Falk, Jürg Hüsler, Rolf-Dieter Reiss.

Edition Statement

3rd, rev. and extended ed.

Place of Publication, Distribution, etc.

Basel :

Name of Publisher, Distributor, etc.

Springer,

Date of Publication, Distribution, etc.

©2011.

Specific Material Designation and Extent of Item

1 online resource (xv, 509 pages)

Text of Note

Includes bibliographical references and indexes.

Text of Note

The IID case, functional laws of small numbers -- Functional laws of small numbers -- Extreme value theory -- Estimation of conditional curves -- The IID case, multivariate extremes -- Basic theory of multivariate extremes -- Multivariate generalized pareto distributions -- The pickands approach in the Bivariate case -- Multivariate extremes, supplementary concepts and results -- Non-IID observations -- Introduction to the non-IID case -- Extremes of random sequences -- Extremes of Gaussian processes -- Extensions for rare events -- Statistics of extremes.

0

Text of Note

Since the publication of the first edition of this seminar book in 1994, the theory and applications of extremes and rare events have enjoyed an enormous and still increasing interest. The intention of the book is to give a mathematically oriented development of the theory of rare events underlying various applications. This characteristic of the book was strengthened in the second edition by incorporating various new results. In this third edition, the dramatic change of focus of extreme value theory has been taken into account: from concentrating on maxima of observations it has shifted to large observations, defined as exceedances over high thresholds. One emphasis of the present third edition lies on multivariate generalized Pareto distributions, their representations, properties such as their peaks-over-threshold stability, simulation, testing and estimation. Reviews of the 2nd edition: "In brief, it is clear that this will surely be a valuable resource for anyone involved in, or seeking to master, the more mathematical features of this field." David Stirzaker, Bulletin of the London Mathematical Society "Laws of Small Numbers can be highly recommended to everyone who is looking for a smooth introduction to Poisson approximations in EVT and other fields of probability theory and statistics. In particular, it offers an interesting view on multivariate EVT and on EVT for non-iid observations, which is not presented in a similar way in any other textbook." Holger Drees, Metrika.

Source for Acquisition/Subscription Address

Springer

Stock Number

978-3-0348-0008-2

Title

Laws of small numbers.

International Standard Book Number

9783034800082

Extreme value theory.

Multivariate analysis.

Extreme value theory.

MATHEMATICS-- Probability & Statistics-- General.

Multivariate analysis.

MAT-- 029000

Number

Edition

Class number

Book number

Falk, Michael,1954-

Hüsler, J., (Jürg)

Reiss, R.-D., (Rolf-Dieter)

Date of Transaction

20201206135650.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y