107
Views
4
CrossRef citations to date
0
Altmetric
Original Articles

Bivariate Extreme Analysis of Olympic Swimming Data

&
Pages 510-523 | Received 08 Sep 2011, Accepted 18 Feb 2012, Published online: 10 Aug 2012

References

  • Adam , M. B. 2007 . Extreme value modelling for sports data , Lancaster , , UK : PhD thesis, Lancaster University .
  • Adam , M. B. and Tawn , J. A. 2011 . Modification of Pickands' dependence function for ordered bivariate extreme distribution . Commun. Stat. Theory Methods , 40 : 1687 – 1700 .
  • Barao , M. I. and Tawn , J. A. 1999 . Extremal analysis of short series with outliers; See-levels and athletics records . Appl. Stat. , 48 : 469 – 487 .
  • Beirlant , J. , Goegebeur , Y. , Segers , J. and Teugels , J. 2004 . Statistics of extremes: Theory and applications , Chichester : Wiley .
  • Chavez-Demoulin , V. 1999 . Two problems in environmental statistics: Capture–recapture analysis and smooth extremal models , Lausanne : PhD thesis, Department of Mathematics, Swiss Federal Institute of Technology .
  • Coles , S. G. 2001 . An introduction to statistical modeling of extreme values , London : Springer-Verlag .
  • Coles , S. G. and Tawn , J. A. 1991 . Modelling extreme multivariate events . J. R. Stat. Soc. Ser. B (Methodological) , 53 : 377 – 392 .
  • Davison , A. C. and Smith , R. L. 1990 . Models for exceedances over hight thresholds . J. R. Stat. Soc. Ser. B (Methodological) , 52 : 393 – 442 .
  • Fox , J. 2000a . Nonparametric simple regression: Smoothing scatterplots. Sage University Paper Series on Quantitative Applications in the Social Sciences , 07 – 130 . Thousand Oaks , CA : Sage .
  • Fox , J. 2000b . Multiple and generalized nonparametric regression. Sage University Paper Series on Quantitative Applications in the Social Sciences , 07 – 131 . Thousand Oaks , CA : Sage .
  • Gaetan , C. and Grigoletto , M. 2004 . Smoothing sample extremes with dynamics models . Extremes , 7 : 221 – 236 .
  • Green , P. J. and Silverman , B. W. 1994 . Nonparametric regression and generalized linear models , London : Chapman & Hall .
  • Hall , P. and Tajvidi , N. 2000a . Distribution and dependence-function estimation for bivariate extreme-value distribution . Bernoulli , 6 : 835 – 844 .
  • Hall , P. and Tajvidi , N. 2000b . Nonparametric analysis of temporal trend when fitting parametric models to extreme-value data . Stat. Sci. , 15 : 153 – 167 .
  • Kotz , S. and Nadarajah , S. 2000 . Extreme value distributions , London : Imperial College Press .
  • Leadbetter , M. R. and Rootzén , H. 1988 . Extremal theory for stochastic processes . Ann. Probability , 16 : 431 – 478 .
  • Nadarajah , S. 1994 . Multivariate extreme value methods with applications to reservoir flood safety , Sheffield , , UK : PhD thesis, University of Sheffield .
  • Nadarajah , S. , Anderson , C. W. and Tawn , J. A. 1998 . Ordered multivariate extremes . J. R. Stat. Soc. Ser. B (Stat. Methodol.) , 60 : 473 – 496 .
  • Padoan , S. A. and Wand , M. P. 2008 . Mixed model-based additive models for sample extremes . Stat. Probability Lett. , 78 : 2850 – 2858 .
  • Payer , T. 2007 . Modelling extreme wind speeds , Munich , , Germany : PhD thesis, Faculty of Mathematics, Informatics and Statistics, München University .
  • Pickands , J. 1981 . Multivariate extreme value distributions . Proc. 43rd Session of the ISI , 49 : 859 – 878 .
  • Robinson , M. E. and Tawn , J. A. 1995 . Statistics for exceptional athletics records . Appl. Stat. , 44 ( 4 ) : 499 – 511 .
  • Smith , R. L. 1989 . Extreme value analysis of environmental time series: An example based on ozone data (with discussion) . Stat. Sci. , 4 : 367 – 393 .
  • Smith , R. L. , Tawn , J. A. and Yuen , H. K. 1990 . Statistics of multivariate extremes . Int. Stat. Rev. , 58 : 47 – 58 .
  • Strand , M. and Boes , D. 1998 . Modeling road racing times of competitive recreational runners using extreme value theory . Am. Stat. , 52 : 205 – 210 .
  • Tawn , J. A. 1988a . Bivariate extreme value theory: Models and estimation . Biometrika , 75 : 397 – 415 .
  • Tawn , J. A. 1988b . An extreme-value theory model for dependent observations . J. Hydrol. , 101 : 227 – 250 .
  • Yee , T. and Stephenson , A. 2007 . Vector generalized linear and additive extreme value models . Extremes , 10 : 1 – 19 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.