東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Extreme value theory for time series...

Mikosch, Thomas.

Linked to FindBook

Google Book

Amazon

博客來

Extreme value theory for time series = models with power-law tails /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Extreme value theory for time series/ by Thomas Mikosch, Olivier Wintenberger.
Reminder of title:	models with power-law tails /
Author:	Mikosch, Thomas.
other author:	Wintenberger, Olivier.
Published:	Cham :Springer Nature Switzerland : : 2024.,
Description:	xvi, 766 p. :ill. (chiefly col.), digital ;24 cm.
[NT 15003449]:	Introduction -- Part 1 Regular variation of distributions and processes -- 2 The iid univariate benchmark -- 3 Regularly varying random variables and vectors -- 4 Regularly varying time series -- 5 Examples of regularly varying stationary processes -- Part 2 Point process convergence and cluster phenomena of time series -- 6 Clusters of extremes -- 7 Point process convergence for regularly varying sequences -- 8 Applications of point process convergence -- Part 3 Infinite variance central limit theory -- 9 Infinite-variance central limit theory -- 10 Self-normalization, sample autocorrelations and the extremogram -- Appendix A Point processes -- Appendix B Univariate regular variation -- Appendix C Vague convergence -- Appendix D Tools -- Appendix E Multivariate regular variation - supplementary results -- Appendix F Heavy-tail large deviations for sequences of independent random variables and vectors, and their applications -- references -- index -- List of abbreviations and symbols.
Contained By:	Springer Nature eBook
Subject:	Extreme value theory. -
Online resource:	https://doi.org/10.1007/978-3-031-59156-3
ISBN:	9783031591563

Extreme value theory for time series = models with power-law tails /
Mikosch, Thomas.

Extreme value theory for time seriesmodels with power-law tails /[electronic resource] :by Thomas Mikosch, Olivier Wintenberger. - Cham :Springer Nature Switzerland :2024. - xvi, 766 p. :ill. (chiefly col.), digital ;24 cm. - Springer series in operations research and financial engineering,2197-1773. - Springer series in operations research and financial engineering..

Introduction -- Part 1 Regular variation of distributions and processes -- 2 The iid univariate benchmark -- 3 Regularly varying random variables and vectors -- 4 Regularly varying time series -- 5 Examples of regularly varying stationary processes -- Part 2 Point process convergence and cluster phenomena of time series -- 6 Clusters of extremes -- 7 Point process convergence for regularly varying sequences -- 8 Applications of point process convergence -- Part 3 Infinite variance central limit theory -- 9 Infinite-variance central limit theory -- 10 Self-normalization, sample autocorrelations and the extremogram -- Appendix A Point processes -- Appendix B Univariate regular variation -- Appendix C Vague convergence -- Appendix D Tools -- Appendix E Multivariate regular variation - supplementary results -- Appendix F Heavy-tail large deviations for sequences of independent random variables and vectors, and their applications -- references -- index -- List of abbreviations and symbols.

This book deals with extreme value theory for univariate and multivariate time series models characterized by power-law tails. These include the classical ARMA models with heavy-tailed noise and financial econometrics models such as the GARCH and stochastic volatility models. Rigorous descriptions of power-law tails are provided through the concept of regular variation. Several chapters are devoted to the exploration of regularly varying structures. The remaining chapters focus on the impact of heavy tails on time series, including the study of extremal cluster phenomena through point process techniques. A major part of the book investigates how extremal dependence alters the limit structure of sample means, maxima, order statistics, sample autocorrelations. This text illuminates the theory through hundreds of examples and as many graphs showcasing its applications to real-life financial and simulated data. The book can serve as a text for PhD and Master courses on applied probability, extreme value theory, and time series analysis. It is a unique reference source for the heavy-tail modeler. Its reference quality is enhanced by an exhaustive bibliography, annotated by notes and comments making the book broadly and easily accessible.

ISBN: 9783031591563

Standard No.: 10.1007/978-3-031-59156-3doiSubjects--Topical Terms:

646412
Extreme value theory.

LC Class. No.: QA273.6

Dewey Class. No.: 519.24

Extreme value theory for time series = models with power-law tails /
LDR:03423nmm a2200361 a 4500 001 2374459
003 DE-He213
005 20240802130244.0
006 m d
007 cr nn 008maaau
008 241231s2024 sz s 0 eng d
020 $a 9783031591563 $q (electronic bk.)
020 $a 9783031591556 $q (paper)
024 7 $a 10.1007/978-3-031-59156-3 $2 doi
035 $a 978-3-031-59156-3
040 $a GP $c GP
041 0 $a eng
050 4 $a QA273.6
072 7 $a PBT $2 bicssc
072 7 $a PBWL $2 bicssc
072 7 $a MAT029000 $2 bisacsh
072 7 $a PBT $2 thema
072 7 $a PBWL $2 thema
082 0 4 $a 519.24 $2 23
090 $a QA273.6 $b .M636 2024
100 1 $a Mikosch, Thomas. $3 731051
245 1 0 $a Extreme value theory for time series $h [electronic resource] : $b models with power-law tails / $c by Thomas Mikosch, Olivier Wintenberger.
260 $a Cham : $b Springer Nature Switzerland : $b Imprint: Springer, $c 2024.
300 $a xvi, 766 p. : $b ill. (chiefly col.), digital ; $c 24 cm.
490 1 $a Springer series in operations research and financial engineering, $x 2197-1773
505 0 $a Introduction -- Part 1 Regular variation of distributions and processes -- 2 The iid univariate benchmark -- 3 Regularly varying random variables and vectors -- 4 Regularly varying time series -- 5 Examples of regularly varying stationary processes -- Part 2 Point process convergence and cluster phenomena of time series -- 6 Clusters of extremes -- 7 Point process convergence for regularly varying sequences -- 8 Applications of point process convergence -- Part 3 Infinite variance central limit theory -- 9 Infinite-variance central limit theory -- 10 Self-normalization, sample autocorrelations and the extremogram -- Appendix A Point processes -- Appendix B Univariate regular variation -- Appendix C Vague convergence -- Appendix D Tools -- Appendix E Multivariate regular variation - supplementary results -- Appendix F Heavy-tail large deviations for sequences of independent random variables and vectors, and their applications -- references -- index -- List of abbreviations and symbols.
520 $a This book deals with extreme value theory for univariate and multivariate time series models characterized by power-law tails. These include the classical ARMA models with heavy-tailed noise and financial econometrics models such as the GARCH and stochastic volatility models. Rigorous descriptions of power-law tails are provided through the concept of regular variation. Several chapters are devoted to the exploration of regularly varying structures. The remaining chapters focus on the impact of heavy tails on time series, including the study of extremal cluster phenomena through point process techniques. A major part of the book investigates how extremal dependence alters the limit structure of sample means, maxima, order statistics, sample autocorrelations. This text illuminates the theory through hundreds of examples and as many graphs showcasing its applications to real-life financial and simulated data. The book can serve as a text for PhD and Master courses on applied probability, extreme value theory, and time series analysis. It is a unique reference source for the heavy-tail modeler. Its reference quality is enhanced by an exhaustive bibliography, annotated by notes and comments making the book broadly and easily accessible.
650 0 $a Extreme value theory. $3 646412
650 0 $a Time-series analysis. $3 532530
650 1 4 $a Applied Probability. $3 3599446
650 2 4 $a Mathematical Statistics. $3 3538791
700 1 $a Wintenberger, Olivier. $3 3723351
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Springer series in operations research and financial engineering. $3 1619945
856 4 0 $u https://doi.org/10.1007/978-3-031-59156-3
950 $a Mathematics and Statistics (SpringerNature-11649)