Nonparametric Inference for Max-Stable Dependence
Johan Segers
Source: Statist. Sci. Volume 27, Number 2
(2012), 193-196.
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References
[1] Ben Ghorbal, N., Genest, C. and Nešlehová, J. (2009). On the Ghoudi, Khoudraji, and Rivest test for extreme-value dependence. Canad. J. Statist. 37 534–552.
Mathematical Reviews (MathSciNet): MR2588948
Digital Object Identifier: doi:10.1002/cjs.10034
[2] Bücher, A. and Dette, H. (2010). A note on bootstrap approximations for the empirical copula process. Statist. Probab. Lett. 80 1925–1932.
Mathematical Reviews (MathSciNet): MR2734261
[3] Bücher, A., Dette, H. and Volgushev, S. (2011). New estimators of the Pickands dependence function and a test for extreme-value dependence. Ann. Statist. 39 1963–2006.
Mathematical Reviews (MathSciNet): MR2893858
Zentralblatt MATH: 05987681
Digital Object Identifier: doi:10.1214/11-AOS890
Project Euclid: euclid.aos/1314190620
[4] Capéraà, P., Fougères, A. L. and Genest, C. (1997). A nonparametric estimation procedure for bivariate extreme value copulas. Biometrika 84 567–577.
Mathematical Reviews (MathSciNet): MR1603985
Zentralblatt MATH: 1058.62516
Digital Object Identifier: doi:10.1093/biomet/84.3.567
[5] de Haan, L. and Pereira, T. T. (2006). Spatial extremes: Models for the stationary case. Ann. Statist. 34 146–168.
Mathematical Reviews (MathSciNet): MR2275238
Zentralblatt MATH: 1104.60021
Digital Object Identifier: doi:10.1214/009053605000000886
Project Euclid: euclid.aos/1146576259
[6] Deheuvels, P. (1991). On the limiting behavior of the Pickands estimator for bivariate extreme-value distributions. Statist. Probab. Lett. 12 429–439.
Mathematical Reviews (MathSciNet): MR1142097
[7] Fils-Villetard, A., Guillou, A. and Segers, J. (2008). Projection estimators of Pickands dependence functions. Canad. J. Statist. 36 369–382.
Mathematical Reviews (MathSciNet): MR2456011
Digital Object Identifier: doi:10.1002/cjs.5550360303
[8] Genest, C. and Segers, J. (2009). Rank-based inference for bivariate extreme-value copulas. Ann. Statist. 37 2990–3022.
Mathematical Reviews (MathSciNet): MR2541453
Zentralblatt MATH: 1173.62013
Digital Object Identifier: doi:10.1214/08-AOS672
Project Euclid: euclid.aos/1247836675
[9] Genest, C., Kojadinovic, I., Nešlehová, J. and Yan, J. (2011). A goodness-of-fit test for bivariate extreme-value copulas. Bernoulli 17 253–275.
Mathematical Reviews (MathSciNet): MR2797991
Digital Object Identifier: doi:10.3150/10-BEJ279
Project Euclid: euclid.bj/1297173842
[10] Ghoudi, K., Khoudraji, A. and Rivest, L.-P. (1998). Propriétés statistiques des copules de valeurs extrêmes bidimensionnelles. Canad. J. Statist. 26 187–197.
Mathematical Reviews (MathSciNet): MR1624413
Digital Object Identifier: doi:10.2307/3315683
[11] Gudendorf, G. and Segers, J. (2011). Nonparametric estimation of multivariate extreme-value copulas. Technical Report 2011/18, Université catholique de Louvain, ISBA. Available at http://arxiv.org/abs/1107.2410.
Mathematical Reviews (MathSciNet): MR2729418
Zentralblatt MATH: 05819541
Digital Object Identifier: doi:10.1016/j.jmva.2010.07.011
[12] Kabluchko, Z., Schlather, M. and de Haan, L. (2009). Stationary max-stable fields associated to negative definite functions. Ann. Probab. 37 2042–2065.
Mathematical Reviews (MathSciNet): MR2561440
Zentralblatt MATH: 1208.60051
Digital Object Identifier: doi:10.1214/09-AOP455
Project Euclid: euclid.aop/1253539863
[13] Kojadinovic, I. and Yan, J. (2010a). Modeling multivariate distributions with continuous margins using the copula R package. J. Statist. Softw. 34 1–20. Available at http://www.jstatsoft.org/v34/i09/.
[14] Kojadinovic, I. and Yan, J. (2010b). Nonparametric rank-based tests of bivariate extreme-value dependence. J. Multivariate Anal. 101 2234–2249.
Mathematical Reviews (MathSciNet): MR2671214
Zentralblatt MATH: 1201.62056
Digital Object Identifier: doi:10.1016/j.jmva.2010.05.004
[15] Kojadinovic, I. and Yan, J. (2012). A nonparametric test of exchangeability for extreme-value and left-tail decreasing bivariate copulas. Scand. J. Statist. To appear. DOI:10.1111/j.1467-9469.2011.00772.x.
[16] Kojadinovic, I., Segers, J. and Yan, J. (2011). Large-sample tests of extreme-value dependence for multivariate copulas. Canad. J. Statist. 39 703–720.
Mathematical Reviews (MathSciNet): MR2860835
Digital Object Identifier: doi:10.1002/cjs.10110
[17] Peng, L., Qian, L. and Yang, J. (2011). Weighted estimation of dependence function for an extreme-value distribution. Bernoulli. To appear.
[18] Pickands, J. III (1981). Multivariate extreme value distributions. In Proceedings of the 43rd Session of the International Statistical Institute, Vol. 2 (Buenos Aires, 1981). Bull. Inst. Internat. Statist. 49 859–878, 894–902.
Mathematical Reviews (MathSciNet): MR820979
[19] Pickands, J. III (1989). Multivariate negative exponential and extreme value distributions. In Extreme Value Theory (Oberwolfach, 1987). Lecture Notes in Statist. 51 262–274. Springer, New York.
Mathematical Reviews (MathSciNet): MR992064
Zentralblatt MATH: 0672.62065
Digital Object Identifier: doi:10.1007/978-1-4612-3634-4_22
[20] Rémillard, B. and Scaillet, O. (2009). Testing for equality between two copulas. J. Multivariate Anal. 100 377–386.
Mathematical Reviews (MathSciNet): MR2483426
Zentralblatt MATH: 1157.62401
Digital Object Identifier: doi:10.1016/j.jmva.2008.05.004
[21] Rüschendorf, L. (1976). Asymptotic distributions of multivariate rank order statistics. Ann. Statist. 4 912–923.
Mathematical Reviews (MathSciNet): MR420794
Digital Object Identifier: doi:10.1214/aos/1176343588
Project Euclid: euclid.aos/1176343588
[22] Schlather, M. (2002). Models for stationary max-stable random fields. Extremes 5 33–44.
Mathematical Reviews (MathSciNet): MR1947786
Digital Object Identifier: doi:10.1023/A:1020977924878
[23] Segers, J. (2011). Asymptotics of empirical copula processes under nonrestrictive smoothness assumptions. Bernoulli. To appear.
[24] Smith, R. L. (1990). Max-stable processes and spatial extremes. Unpublished manuscript.
[25] Tsukahara, H. (2005). Semiparametric estimation in copula models. Canad. J. Statist. 33 357–375.
Mathematical Reviews (MathSciNet): MR2193980
Digital Object Identifier: doi:10.1002/cjs.5540330304
[26] van der Vaart, A. W. and Wellner, J. A. (2007). Empirical processes indexed by estimated functions. In Asymptotics: Particles, Processes and Inverse Problems. Institute of Mathematical Statistics Lecture Notes—Monograph Series 55 234–252. IMS, Beachwood, OH.
Mathematical Reviews (MathSciNet): MR2459942
Zentralblatt MATH: 1176.62050
Digital Object Identifier: doi:10.1214/074921707000000382
