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Multivariate Extremes - Applications
A Working Group in Risk Analysis, Extreme Events and Decision Theory

 

Group Leaders: Wenbin Lu
Webmaster: XuanLong Nguyen

Meeting Time: Monday 12:00 - 1:30pm for Spring 2008
Location: NISS building, Room 203
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Meeting activities

Date Topics & Readings Notes
09/27/2007 After the meeting, Prof. Richard Smith suggested the following reading materials:
  1. Stuart G. Coles (1993), Regional Modelling Extreme Storms via Max-Stable Processes, JRSSB pdf
  2. Stuart G. Coles and Jonathan Tawn (1991), Modelling Extreme Multivariate Events, JRSSB; pdf
  3. Stuart G. Coles and Jonathan Tawn (1994), Statistical Methods for Multivariate Extremes: An Application to Structural Design, Applied Statistics; pdf
  4. Stuart G. Coles and Jonathan Tawn (1996), Modelling of Extremes of the Rainfall Process JRSSB pdf
  5. Beatriz Vaz de Melo Mendes and Luis Ra�ul, Assessing Conditional Extremal Risk of Flooding in Puerto Rico, preprint, pdf
  6. V. Chavez-Demoulin and A. C. Davison (2005), Statistical Methods for Multivariate Extremes: An Application to Structural Design, Applied Statistics, pdf
  7. Janet E. Heffernan, Jonathan A. Tawn and Zhengjun Zhang (2007), Asymptotically (in)dependent multivariate maxima of moving maxima processes, Extremes; pdf
  8. Harry Joe, Richard Smith and Ishay Weissman (1992), Bivariate Threshold Methods for Extremes; JRSSB pdf
  9. Anthony W. Ledford and Jonathan A. Tawn (2003), Diagnostics for dependence within time series extremes, JRSSB, pdf
  10. Anthony W. Ledford and Jonathan A. Tawn (1996), Statistics for Nearly Independence in Multivariate Extreme Values, Biometrika, pdf
  11. Anthony W. Ledford and Jonathan A. Tawn (1997), Modelling Dependence within Joint Tail Regions, JRSSB, pdf
  12. Krishanu Maulik and Sidney Resnick (2005), Characterizations and Examples of Hidden Regular Variation, Extremes, pdf
  13. Richard Smith (1994, Multivariate Threshold Methods, NIST/Temple University Conference on Extreme Value Theory and its Applications, (Book Chapter) pdf
  14. Sidney Resnick, (2002) Hidden Regular Variation, Second Order Regular Variation and Asymptotic Independence, Extremes, pdf
  15. Richard Smith, Jonathan Tawn and Stuart Coles (1997), Markov Chain Models for Threshold Exceedances, Biometrika, pdf
  16. Alec Stephenson, (2003) Simulating Multivariate Extreme Value Distributions of Logistic Type, Extremes, pdf
  17. Alec Stephenson and Jonathan Tawn (2005) Exploiting occurrence times in likelihood inference for componentwise maxima, Biometrika, pdf
    Bayesian
  1. Behrens, C., Lopes, H. and Gamerman, D. (2004) Bayesian analysis of extreme events with threshold estimation, Statistical Modelling, pdf
  2. Tancredi, A., Anderson, C. and Hagan, A. (2006) Accounting for threshold uncertainty in extreme value.
Several papers of tutorial nature from Richard's website:
Suggested reading list prior to the meeting:
  • Statistics of Extremes: Theory and Applications (Jan Beirlant et. al. Wiley), which has two chapters talking about multivariate extremes. (Zhengjun)
  • Heffernan and Tawn's conditional inference approach, JRSS B read paper (Zhengjun)
  • Sidney Resnick's new (2007) book Heavy-Tail Phenomena: Probabilistic and Statistical Modeling (Paul)
  • de Haan, L. and Lin, T. (2003). Weak consistency of extreme value estimators in C[0,1]. Annals of Statistics, 31, pp. 1996-2012. (Zhengjun)
  • Joe, Harry (1987): Chp 6: Multivariate Extreme Distributions in "Multivariate Models and Dependence Concepts". (Kobi)
  • Mari, D and Kotz, S (2001): Chap 5: Farlie-Gumbel-Morgenstern Models of Dependence in "Correlation and Dependence". (Kobi)
  • The original "Statistics of Extremes" by Gumbel (1957) is available as an inexpensive Dover book. (Kobi)
10/11/2007 Prof. Paul Schuette is giving a talk titled "Power laws and extreme values". The slides are here [ pdf ] [ revised version ] Prof. Richard Smith gave a tutorial on multivariate extreme value theory in the methodogy working group this morning. The slides from his talk are here. pdf
10/18/2007 Prof. Pal Nabendu gives a talk on estimation and testing with (univariate) EVD. The slides are here: [ 1 ] [ 2 ] [ 3 ] Links to available data sets: Recent paper by Zhengjun Zhang and Richard Smith, which includes discussion of multivariate extreme value distributions applied to portfolios. [ pdf ]

S. Poon, M. Rockinger and J. Tawn, Extreme value dependence in financial markets: Diagnostics, models and financial implications. Review of Financial Studies, 2004. [ pdf ].

10/25/2007
  • Discussion of Poon, Rockinger and Tawn's paper.
  • Also briefly: Weak and Strong Financial Frailty (2007) by J.L. Geluk, L. de Haan, and C. G. de Vries [ pdf ]
11/8/2007
  • Kobi Abayomi's talk: EVD-multiple environment hazard: World Bank hostpots report [ talk slides ]
  • Zhengjun Zhang's talk: Testing and modeling extreme dependencies in financial markets[ talk slides ]
  • Hotspots background and acknowledgement [ pdf ]
  • Hotspots synthesis report [ pdf ]
01/28/2008 Today's talk (Kobi on Harry Joe's book chapter on multivariate models and dependence concepts) is postponed until the next semester. Talk slides in [ pdf ]  
02/11/2008 General discussion  
02/25/2008 Prof. Pilar Munyoz's talk: Daily Spanish electricity prices and other variables associated with them: Uni and bivariate approaches. pdf  
03/10/2008 Evangelos Evangelou's talk: Description and models for 5 stock prices pdf  
03/24/2008 Nikita Tuzov's talk: Applying EVT analysis to US energy prices. ppt
     
     
Group Members

Name Affiliation Email Address
Kobi Abayomi Duke University [email protected]
Michela Cameletti SAMSI [email protected]
Wei Chen SAS Institute [email protected]
Guang Cheng Duke University [email protected]
Dan Cooley NCAR [email protected]
Evangelos Evangelou University of North Carolina [email protected]
Eric Gilleland NCAR [email protected]
Rosalba Ignaccolo SAMSI [email protected]
Yongku Kim SAMSI /Duke [email protected]
Wenbin Lu N.C. State University [email protected]
Vered Madar SAMSI [email protected]
Pilar Munoz Technical University of Catalonia [email protected]
XuanLong Nguyen SAMSI/ Duke [email protected]
John Nolan American University [email protected]
Nabendu Pal University of Louisiana [email protected]
Xiao qin University of North Carolina [email protected]
Huiyan Sang Duke University [email protected]
Paul Schuette Meredith College [email protected]
Richard Smith UNC-Chapel Hill [email protected]
Nikita Tuzov Purdue Univ [email protected]
Huixia Wang N.C. State University [email protected]
Robert Wolpert Duke University [email protected]
Fei Xu [email protected]
Zhengjun Zhang University of Wisconsin [email protected]
     
     
     
     
     
     

 

 

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