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Software for the analysis of extreme events: The current state and future directions

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The last few years have seen a significant increase in publicly available software specifically targeted to the analysis of extreme values. This reflects the increase in the use of extreme value methodology by the general statistical community. The software that is available for the analysis of extremes has evolved in essentially independent units, with most forming extensions of larger software environments. An inevitable consequence is that these units are spread about the statistical landscape. Scientists seeking to apply extreme value methods must spend considerable time and effort in determining whether the currently available software can be usefully applied to a given problem. We attempt to simplify this process by reviewing the current state, and suggest future approaches for software development. These suggestions aim to provide a basis for an initiative leading to the successful creation and distribution of a flexible and extensible set of tools for extreme value practitioners and researchers alike. In particular, we propose a collaborative framework for which cooperation between developers is of fundamental importance.

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  • Beirlant, J., Goegebeur, Y., Segers, J., Teugels, J.: Statistics of Extremes. Wiley, Chichester, England (2004)

    Google Scholar 

  • Carmona, R.A.: Statistical Analysis of Financial Data in S-Plus. Springer, Berlin Heidelberg New York (2004).

    Google Scholar 

  • Coles, S.G.: An Introduction to Statistical Modeling of Extreme Values. Springer, Berlin Heidelberg New York (2001)

    Google Scholar 

  • Coles, S.G., Tawn, J.A.: Modelling extreme multivariate events. J.R. Stat. Soc., B (53), 377–392. (1991)

  • Coles, S.G., Heffernan, J., Tawn, J.A.: Dependence measures for extreme value analyses. Extremes 2, 339–365 (1999)

    Article  Google Scholar 

  • de Haan, L.: A spectral representation for max-stable processes. Ann. Probab. 12, 1194–1204, (1984)

    MATH  MathSciNet  Google Scholar 

  • Dekkers, A.L.M., Einmahl, J.H.J., de Haan, L.: A moment estimator for the index of an extremevalue distribution. Ann. Stat. 17, 1833–1855 (1989)

    Google Scholar 

  • Donoho, D.: How to be a highly cited author in the mathematical sciences. In-cites essay (2002)

  • Embrechts, P., Klüppelberg, C., Mikosch, T.: Modelling extremal events. Springer, Berlin Heidelberg New York (1997)

    Google Scholar 

  • Ferro, C.A.T. Segers, J.: Inference for clusters of extreme values. J.R. Stat. Soc. B (65), 545–556 (2003)

  • Hill, B.M.: A simple general approach to inference about the tail of a distribution. Ann. Stat. 3, 1163–1174 (1975)

    MATH  Google Scholar 

  • Hosking, J.R.M., Wallis, J.R., Wood, E.F.: Estimation of the generalized extreme-value distribution by the method of probability-weighted moments. Technometrics 27, 251–261 (1985)

    Article  MathSciNet  Google Scholar 

  • Leadbetter, M.R., Lindgren, G., Rootzén, H.: Extremes and Related Properties of Random Sequences and Series, Springer, Berlin Heidelberg New York (1983)

    Google Scholar 

  • Ledford, A.W. Tawn, J.A.: Statistics for near independence in multivariate extreme values. Biometrika 83, 169–187 (1996)

    Article  MathSciNet  Google Scholar 

  • Pickands, J.: Statistical inference using extreme order statistics. Ann. Stat. 3, 119–131 (1975)

    MATH  MathSciNet  Google Scholar 

  • Reiss, R.D., Thomas, M.: Statistical Analysis of Extreme Values, from Insurance, Finance Hydrology and other Fields, Birkhauser, New York (2001)

    Google Scholar 

  • Smith, R.L.: Maximum likelihood estimation in a class of non-regular cases. Biometrika 72, 67–90 (1985)

    Article  MATH  MathSciNet  Google Scholar 

  • Stephenson, A.G., Tawn, J.A.: Bayesian inference for extremes: accounting for the three extremal types. Extremes 7, 291–307 (2004)

    Article  Google Scholar 

  • Yee, T.W., Wild, C.J.: Vector generalized additive models. J.R. Stat. Soc., B (58), 481–493 (1996)

    Google Scholar 

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Correspondence to Alec Stephenson.

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Stephenson, A., Gilleland, E. Software for the analysis of extreme events: The current state and future directions. Extremes 8, 87–109 (2005).

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