Laws of Small Numbers: Extremes and Rare Events (Record no. 106577)

000 -LEADER
fixed length control field 03839nam a22004815i 4500
001 - CONTROL NUMBER
control field 978-3-0348-0009-9
003 - CONTROL NUMBER IDENTIFIER
control field DE-He213
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20140220083738.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr nn 008mamaa
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 101013s2011 sz | s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783034800099
-- 978-3-0348-0009-9
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/978-3-0348-0009-9
Source of number or code doi
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA273.A1-274.9
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA274-274.9
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBT
Source bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBWL
Source bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT029000
Source bisacsh
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 519.2
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Falk, Michael.
Relator term author.
245 10 - TITLE STATEMENT
Title Laws of Small Numbers: Extremes and Rare Events
Medium [electronic resource] /
Statement of responsibility, etc by Michael Falk, Jürg Hüsler, Rolf-Dieter Reiss.
264 #1 -
-- Basel :
-- Springer Basel,
-- 2011.
300 ## - PHYSICAL DESCRIPTION
Extent XVI, 509p.
Other physical details online resource.
336 ## -
-- text
-- txt
-- rdacontent
337 ## -
-- computer
-- c
-- rdamedia
338 ## -
-- online resource
-- cr
-- rdacarrier
347 ## -
-- text file
-- PDF
-- rda
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Preface to the Third Edition -- Preface to the Second Edition -- Preface to the First Edition -- Part I. The IID Case: Functional Laws Of Small Numbers -- 1 Functional Laws of Small Numbers -- 2 Extreme Value Theory -- 3 Estimation of Conditional Curves -- Part II. The IID Case: Multivariate Extremes -- 4 Basic Theory of Multivariate Maxima -- 5 Multivariate Generalized Pareto Distributions -- 6 The Pickands Approach in the Bivariate Case -- 7 Multivariate Extremes: Supplementary Concepts and Results -- Part III. Non-IID Observations -- 8 Introduction to the Non-IID Case -- 9 Extremes of Random Sequences -- 10 Extremes of Gaussian Processes -- 11 Extensions for Rare Events -- 12 Statistics of Extremes -- Author Index -- Subject Index -- Bibliography.
520 ## - SUMMARY, ETC.
Summary, etc 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
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Distribution (Probability theory).
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematical statistics.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Probability Theory and Stochastic Processes.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Statistical Theory and Methods.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Hüsler, Jürg.
Relator term author.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Reiss, Rolf-Dieter.
Relator term author.
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9783034800082
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://dx.doi.org/10.1007/978-3-0348-0009-9
912 ## -
-- ZDB-2-SMA

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