High Risk Scenarios and Extremes (Record no. 50375)

000 -LEADER
fixed length control field 03344nam a22004095a 4500
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 9783037195352
100 1# - MAIN ENTRY--AUTHOR NAME
Personal name Balkema, Guus,
245 10 - TITLE STATEMENT
Title High Risk Scenarios and Extremes
Sub Title A geometric approach /
Statement of responsibility, etc Guus Balkema, Paul Embrechts
260 3# - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication Zuerich, Switzerland :
Name of publisher European Mathematical Society Publishing House,
Year of publication 2007
300 ## - PHYSICAL DESCRIPTION
Number of Pages 1 online resource (388 pages)
490 0# - SERIES STATEMENT
Series statement Zurich Lectures in Advanced Mathematics (ZLAM)
520 ## - SUMMARY, ETC.
Summary, etc Quantitative Risk Management (QRM) has become a field of research of considerable importance to numerous areas of application, including insurance, banking, energy, medicine, reliability. Mainly motivated by examples from insurance and finance, the authors develop a theory for handling multivariate extremes. The approach borrows ideas from portfolio theory and aims at an intuitive approach in the spirit of the Peaks over Thresholds method. The point of view is geometric. It leads to a probabilistic description of what in QRM language may be referred to as a high risk scenario: the conditional behaviour of risk factors given that a large move on a linear combination (portfolio, say) has been observed. The theoretical models which describe such conditional extremal behaviour are characterized and their relation to the limit theory for coordinatewise maxima is explained. The first part is an elegant exposition of coordinatewise extreme value theory; the second half develops the more basic geometric theory. Besides a precise mathematical deduction of the main results, the text yields numerous discussions of a more applied nature. A twenty page preview introduces the key concepts; the extensive introduction provides links to financial mathematics and insurance theory. The book is based on a graduate course on point processes and extremes. It could form the basis for an advanced course on multivariate extreme value theory or a course on mathematical issues underlying risk. Students in statistics and finance with a mathematical, quantitative background are the prime audience. Actuaries and risk managers involved in data based risk analysis will find the models discussed in the book stimulating. The text contains many indications for further research.
650 07 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Probability & statistics
650 07 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Probability theory and stochastic processes
650 07 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Game theory, economics, social and behavioral sciences
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Balkema, Guus,
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Embrechts, Paul,
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier https://doi.org/10.4171/035
856 42 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://www.ems-ph.org/img/books/balkema_mini.jpg
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type E-BOOKS
264 #1 -
-- Zuerich, Switzerland :
-- European Mathematical Society Publishing House,
-- 2007
336 ## -
-- text
-- txt
-- rdacontent
337 ## -
-- computer
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-- rdamedia
338 ## -
-- online resource
-- cr
-- rdacarrier
347 ## -
-- text file
-- PDF
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Holdings
Withdrawn status Lost status Damaged status Not for loan Current library Accession Number Uniform Resource Identifier Koha item type
        IMSc Library EBK13751 https://doi.org/10.4171/035 E-BOOKS
The Institute of Mathematical Sciences, Chennai, India

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