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Volumn , Issue , 2006, Pages 1-413

Extreme Value Theory: An Introduction

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EID: 85098104138     PISSN: 14318598     EISSN: 21971773     Source Type: Book Series    
DOI: None     Document Type: Chapter
Times cited : (271)

References (105)
  • 2
    • 0012063834 scopus 로고    scopus 로고
    • A comparison of methods for estimating the extremal index
    • M. Ancona-Navarrete and J. Tawn: A comparison of methods for estimating the extremal index. Extremes 3, 5-38 (2000).
    • (2000) Extremes , vol.3 , pp. 5-38
    • Ancona-Navarrete, M.1    Tawn, J.2
  • 4
    • 33745840640 scopus 로고
    • Very slowly varying functions
    • J.M. Ash, P. ErdGs and L.A. Rubel: Very slowly varying functions. Aeq. Math. 10, 1-9 (1974).
    • (1974) Aeq. Math , vol.10 , pp. 1-9
    • Ash, J.M.1    Erdgs, P.2    Rubel, L.A.3
  • 5
    • 0008698829 scopus 로고
    • A.S. continuity of stable moving average processes with index < 1
    • A.A. Balkema and L. de Haan: A.s. continuity of stable moving average processes with index < 1. Ann. Appl. Probab. 16, 333-343 (1988).
    • (1988) Ann. Appl. Probab. , vol.16 , pp. 333-343
    • Balkema, A.A.1    de Haan, L.2
  • 6
    • 54749096238 scopus 로고
    • Asymptotic distributions of the maximum of n independent stochastic processes
    • A.A. Balkema, L. de Haan, and R.L. Karandikar: Asymptotic distributions of the maximum of n independent stochastic processes. J. Appl. Prob. 30, 66-81 (1993).
    • (1993) J. Appl. Prob. , vol.30 , pp. 66-81
    • Balkema, A.A.1    de Haan, L.2    Karandikar, R.L.3
  • 7
    • 0006842454 scopus 로고
    • On the limit behaviour of extreme order statistics
    • O. Barndorff-Nielsen: On the limit behaviour of extreme order statistics. Ann. Math. Statist. 34,992-1002 (1963).
    • (1963) Ann. Math. Statist. , vol.34 , pp. 992-1002
    • Barndorff-Nielsen, O.1
  • 9
    • 0030335268 scopus 로고    scopus 로고
    • Tail index estimation, Pareto quantile plots and regression diagnostics
    • J. Beirlant, P. Vynckier, and J. L. Teugels: Tail index estimation, Pareto quantile plots and regression diagnostics. J. Amer. Statist. Association 91,1659-1667 (1996).
    • (1996) J. Amer. Statist. Association , vol.91 , pp. 1659-1667
    • Beirlant, J.1    Vynckier, P.2    Teugels, J.L.3
  • 14
    • 85098172711 scopus 로고
    • Probability. Addison-Wesley (1968); Republished by SIAM
    • L. Breiman: Probability. Addison-Wesley (1968); Republished by SIAM, Philadelphia (1992).
    • (1992) Philadelphia
    • Breiman, L.1
  • 15
    • 25144447744 scopus 로고
    • Extreme values of independent stochastic processes
    • B. Brown and S. Resnick: Extreme values of independent stochastic processes. J. Appl. Probab. 14,732-739 (1977).
    • (1977) J. Appl. Probab. , vol.14 , pp. 732-739
    • Brown, B.1    Resnick, S.2
  • 16
    • 0012089180 scopus 로고
    • G de Bruijn: Pairs of slowly oscillating functions occurring in asymptotic problems concerning the Laplace transform
    • N. G de Bruijn: Pairs of slowly oscillating functions occurring in asymptotic problems concerning the Laplace transform. Nw. Arch. Wish. 7,20-26 (1959).
    • (1959) Nw. Arch. Wish. , vol.7 , pp. 20-26
  • 17
    • 0035307233 scopus 로고    scopus 로고
    • The Edgeworth expansion for distributions of extreme values
    • S. Cheng and C. Jiang: The Edgeworth expansion for distributions of extreme values. Science in China 44,427-437 (2001).
    • (2001) Science in China , vol.44 , pp. 427-437
    • Cheng, S.1    Jiang, C.2
  • 21
    • 0000044433 scopus 로고    scopus 로고
    • Using a bootstrap method to choose the sample fraction in tail index estimation
    • J. Danielsson, L. de Haan, L. Peng, and C. G de Vries: Using a bootstrap method to choose the sample fraction in tail index estimation. J. Multivariate Analysis 76,226-248 (2001).
    • (2001) J. Multivariate Analysis , vol.76 , pp. 226-248
    • Danielsson, J.1    de Haan, L.2    Peng, L.3    de Vries, C.G.4
  • 22
    • 0001080355 scopus 로고
    • Optimal choice of sample fraction in extreme-value estimation
    • A.L.M. Dekkers and L. de Haan: Optimal choice of sample fraction in extreme-value estimation. J. Multivariate Analysis 47, 173-195 (1993).
    • (1993) J. Multivariate Analysis , vol.47 , pp. 173-195
    • Dekkers, A.L.M.1    de Haan, L.2
  • 23
    • 0001760675 scopus 로고
    • A moment estimator for the index of an extreme-value distribution
    • A.L.M. Dekkers, J.H.J. Einmahl, and L. de Haan: A moment estimator for the index of an extreme-value distribution. Ann. Statist. 17, 1833-1855 (1989).
    • (1989) Ann. Statist. , vol.17 , pp. 1833-1855
    • Dekkers, A.L.M.1    Einmahl, J.H.J.2    de Haan, L.3
  • 24
    • 26044458609 scopus 로고    scopus 로고
    • Testing extreme value conditions
    • D. Dietrich, L. de Haan, and J. Hiisler: Testing extreme value conditions. Extremes 5, 71-85 (2002).
    • (2002) Extremes , vol.5 , pp. 71-85
    • Dietrich, D.1    de Haan, L.2    Hiisler, J.3
  • 25
    • 3543038081 scopus 로고    scopus 로고
    • Bivariate tail estimation: Dependence in asymptotic independence
    • G. Draisma, H. Drees, A. Ferreira, and L. de Haan: Bivariate tail estimation: dependence in asymptotic independence. Bernoulli 10, 251-280 (2004).
    • (2004) Bernoulli , vol.10 , pp. 251-280
    • Draisma, G.1    Drees, H.2    Ferreira, A.3    de Haan, L.4
  • 26
    • 0001560652 scopus 로고    scopus 로고
    • A bootstrap based method to achieve optimality in estimating the extreme value index
    • G Draisma, L. de Haan, L. Peng, and T.T. Pereira: A bootstrap based method to achieve optimality in estimating the extreme value index. Extremes 2, 367-404 (1999).
    • (1999) Extremes , vol.2 , pp. 367-404
    • Draisma, G.1    de Haan, L.2    Peng, L.3    Pereira, T.T.4
  • 27
    • 0032361035 scopus 로고    scopus 로고
    • On smooth statistical tail functionals
    • H. Drees: On smooth statistical tail functionals. Scand. J. Statist. 25,187-210 (1998).
    • (1998) Scand. J. Statist. , vol.25 , pp. 187-210
    • Drees, H.1
  • 28
    • 0034556220 scopus 로고    scopus 로고
    • Weighted approximations of tail processes for β-mixing random variables
    • H. Drees: Weighted approximations of tail processes for β-mixing random variables. Ann. Appl Probab. 10, 1274-1301 (2000).
    • (2000) Ann. Appl Probab. , vol.10 , pp. 1274-1301
    • Drees, H.1
  • 29
    • 33747334833 scopus 로고    scopus 로고
    • Tail empirical processes under mixing conditions
    • H.G Dehling, T. Mikosch, and M. Sorensen (eds.) , Birkhauser, Boston
    • H. Drees: Tail empirical processes under mixing conditions. In: H.G Dehling, T. Mikosch, and M. Sorensen (eds.) Empirical Process Techniques for Dependent Data. Birkhauser, Boston, 325-342 (2002).
    • (2002) Empirical Process Techniques for Dependent Data , pp. 325-342
    • Drees, H.1
  • 30
    • 2642522281 scopus 로고    scopus 로고
    • Extreme quantile estimation for dependent data with applications to finance
    • H. Drees: Extreme quantile estimation for dependent data with applications to finance. Bernoulli 9, 617-657 (2003).
    • (2003) Bernoulli , vol.9 , pp. 617-657
    • Drees, H.1
  • 31
    • 22244474071 scopus 로고    scopus 로고
    • On maximum likelihood estimation of the extreme value index
    • H. Drees, A. Ferreira, and L. de Haan: On maximum likelihood estimation of the extreme value index. Ann. Appl. Probab. 14, 1179-1201 (2003).
    • (2003) Ann. Appl. Probab. , vol.14 , pp. 1179-1201
    • Drees, H.1    Ferreira, A.2    de Haan, L.3
  • 33
    • 33745005744 scopus 로고    scopus 로고
    • Approximations to the tail empirical distribution function with application to testing extreme value conditions
    • H. Drees, L. de Haan, and D. Li: Approximations to the tail empirical distribution function with application to testing extreme value conditions. To appear in J. Statist. Plann. Inference (2006).
    • (2006) To Appear in J. Statist. Plann. Inference
    • Drees, H.1    de Haan, L.2    Li, D.3
  • 34
    • 0001061726 scopus 로고    scopus 로고
    • Selecting the optimal sample fraction in univariate extreme value estimation
    • H. Drees and E. Kaufmann: Selecting the optimal sample fraction in univariate extreme value estimation. Stock Proc. Appl. 75, 149-172 (1998).
    • (1998) Stock Proc. Appl. , vol.75 , pp. 149-172
    • Drees, H.1    Kaufmann, E.2
  • 35
    • 27744456800 scopus 로고
    • The convex hull of a spherically symmetric sample
    • W.F. Eddy and J.D. Gale: The convex hull of a spherically symmetric sample. Adv. Appl. Prob. 13,751-763(1981).
    • (1981) Adv. Appl. Prob. , vol.13 , pp. 751-763
    • Eddy, W.F.1    Gale, J.D.2
  • 36
    • 85098177291 scopus 로고
    • Multivariate empirical processes. PhD thesis, CWI Tract 32
    • J.H.J. Einmahl: Multivariate empirical processes. PhD thesis, CWI Tract 32, Amsterdam (1987).
    • (1987) Amsterdam
    • Einmahl, J.H.J.1
  • 37
    • 0002770569 scopus 로고
    • The empirical distribution function as a tail estimator
    • J.H.J. Einmahl: The empirical distribution function as a tail estimator. Statistica Neerlandica 44, 79-82 (1990).
    • (1990) Statistica Neerlandica , vol.44 , pp. 79-82
    • Einmahl, J.H.J.1
  • 38
    • 58149318900 scopus 로고
    • ABahadur-Kiefer theorem beyond the largest observation
    • J.H.J. Einmahl: ABahadur-Kiefer theorem beyond the largest observation. J. Multivariate Anal. 55, 29-38 (1995).
    • (1995) J. Multivariate Anal. , vol.55 , pp. 29-38
    • Einmahl, J.H.J.1
  • 39
    • 0031256314 scopus 로고    scopus 로고
    • Poisson and Gaussian approximation of weighted local empirical processes
    • J.H.J. Einmahl: Poisson and Gaussian approximation of weighted local empirical processes. Stock Proc. Appl. 70, 31-58 (1997).
    • (1997) Stock Proc. Appl. , vol.70 , pp. 31-58
    • Einmahl, J.H.J.1
  • 40
    • 0035470895 scopus 로고    scopus 로고
    • Non-parametric estimation of the spectral measure of an extreme value distribution
    • J.H.J. Einmahl, L. de Haan, and V. Piterbarg: Non-parametric estimation of the spectral measure of an extreme value distribution. Ann. Statist. 29, 1401-1423 (2001).
    • (2001) Ann. Statist. , vol.29 , pp. 1401-1423
    • Einmahl, J.H.J.1    de Haan, L.2    Piterbarg, V.3
  • 41
    • 33744817636 scopus 로고    scopus 로고
    • Asymptotic normality of extreme value estimators on C[0, 1]
    • J.H.J. Einmahl and T. Lin: Asymptotic normality of extreme value estimators on C[0, 1]. Ann. Statist. 34,469-492 (2006).
    • (2006) Ann. Statist. , vol.34 , pp. 469-492
    • Einmahl, J.H.J.1    Lin, T.2
  • 44
    • 21844524635 scopus 로고
    • Some best estimators for distributions with finite endpoint
    • M. Falk: Some best estimators for distributions with finite endpoint. Statistics 27,115-125 (1995).
    • (1995) Statistics , vol.27 , pp. 115-125
    • Falk, M.1
  • 48
    • 84958156266 scopus 로고
    • Limiting forms of the frequency distribution of the largest or smallest member of a sample
    • R.A. Fisher and L.H.C. Tippett: Limiting forms of the frequency distribution of the largest or smallest member of a sample. Proc. Cambridge Philos. Soc. 24, 180-190 (1928).
    • (1928) Proc. Cambridge Philos. Soc. , vol.24 , pp. 180-190
    • Fisher, R.A.1    Tippett, L.H.C.2
  • 49
    • 10244233506 scopus 로고    scopus 로고
    • Anew class of semi-parametric estimators of the second order parameter
    • M.I. Fraga Alves, M.I. Gomes, and L. de Haan: Anew class of semi-parametric estimators of the second order parameter. Portugalia Mathematica 60, 193-213 (2003).
    • (2003) Portugalia Mathematica , vol.60 , pp. 193-213
    • Fraga Alves, M.I.1    Gomes, M.I.2    de Haan, L.3
  • 50
    • 1442301389 scopus 로고    scopus 로고
    • Estimation of the parameter controlling the speed of convergence in extreme value theory
    • M.I. Fraga Alves, L. de Haan and Tao Lin: Estimation of the parameter controlling the speed of convergence in extreme value theory. Math. Methods Statist. 12,155-176 (2003).
    • (2003) Math. Methods Statist. , vol.12 , pp. 155-176
    • Fraga Alves, M.I.1    de Haan, L.2    Lin, T.3
  • 51
    • 0002689711 scopus 로고
    • Sur la loi de probabilite de l'6cart maximum
    • M. Frechet: Sur la loi de probabilite de l'6cart maximum. Ann. Soc. Math. Polon. 6, 93-116(1927).
    • (1927) Ann. Soc. Math. Polon. , vol.6 , pp. 93-116
    • Frechet, M.1
  • 52
    • 0002242190 scopus 로고
    • Contributions a la theorie des valeurs extremes
    • J. Geffroy: Contributions a la theorie des valeurs extremes. Publ. Inst. Statist. Univ. Paris 1 8, 37-185 (1958).
    • (1958) Publ. Inst. Statist. Univ. Paris , vol.1 , Issue.8 , pp. 37-185
    • Geffroy, J.1
  • 53
    • 85013104917 scopus 로고
    • Regular variation, Extensions and Tauberian Theorems. CWI Tract 40
    • J.L. Geluk and L. de Haan: Regular variation, Extensions and Tauberian Theorems. CWI Tract 40, Amsterdam (1987).
    • (1987) Amsterdam
    • Geluk, J.L.1    de Haan, L.2
  • 54
    • 0007422459 scopus 로고
    • Max-infinitely divisible and max-stable sample continuous processes
    • E. Gine, M. G. Hahn, and P. Vatan: Max-infinitely divisible and max-stable sample continuous processes. Probab. Th. Rel. Fields 87, 139-165 (1990).
    • (1990) Probab. Th. Rel. Fields , vol.87 , pp. 139-165
    • Gine, E.1    Hahn, M.G.2    Vatan, P.3
  • 55
    • 0000005110 scopus 로고
    • Sur la distribution limite du terme maximum d'une serie aleatoire
    • B.V. Gnedenko: Sur la distribution limite du terme maximum d'une serie aleatoire. Ann. Math. 44,423-453 (1943).
    • (1943) Ann. Math. , vol.44 , pp. 423-453
    • Gnedenko, B.V.1
  • 56
    • 0000522339 scopus 로고
    • A spectral representation for max-stable processes
    • L. de Haan: A spectral representation for max-stable processes. Ann. Prob. 12,1194—1204 (1984).
    • (1984) Ann. Prob. , vol.12 , pp. 1194-1204
    • de Haan, L.1
  • 57
    • 0010793053 scopus 로고
    • The rate of growth of sample maxima
    • L. de Haan and A. Hordijk: The rate of growth of sample maxima. Ann. Math. Stat. 43, 1185-1196(1972).
    • (1972) Ann. Math. Stat. , vol.43 , pp. 1185-1196
    • de Haan, L.1    Hordijk, A.2
  • 58
    • 33744803478 scopus 로고    scopus 로고
    • Spatial extremes: The stationary case
    • To appear
    • L. de Haan and T.T. Pereira: Spatial extremes: the stationary case. Ann. Statist. To appear (2006).
    • (2006) Ann. Statist.
    • de Haan, L.1    Pereira, T.T.2
  • 59
    • 0000455695 scopus 로고
    • Stationary min-stable stochastic processes
    • L. de Haan and J. Pickands: Stationary min-stable stochastic processes. Probab. Th. Rel. Fields 72, 477-492 (1986).
    • (1986) Probab. Th. Rel. Fields , vol.72 , pp. 477-492
    • de Haan, L.1    Pickands, J.2
  • 60
    • 0000476661 scopus 로고
    • Estimating the limit distribution of multivariate extremes
    • L. de Haan and S.I. Resnick: Estimating the limit distribution of multivariate extremes. Commun. Statist.-Stochastic Models 9, 275-309 (1993).
    • (1993) Commun. Statist.-Stochastic Models , vol.9 , pp. 275-309
    • de Haan, L.1    Resnick, S.I.2
  • 61
    • 0030485816 scopus 로고    scopus 로고
    • Second order regular variation and rates of convergence in extreme value theory
    • L. de Haan and S.I. Resnick: Second order regular variation and rates of convergence in extreme value theory. Ann. Prob. 24, 119-124 (1996).
    • (1996) Ann. Prob. , vol.24 , pp. 119-124
    • de Haan, L.1    Resnick, S.I.2
  • 62
    • 29444451851 scopus 로고
    • Extremal behaviour of solutions to a stochastic difference equation with applications to ARCH-processes
    • L. de Haan, S.I. Resnick, H. Rootzen, and C. de Vries: Extremal behaviour of solutions to a stochastic difference equation with applications to ARCH-processes. Stock Proc. Appl. 32, 213-224(1989).
    • (1989) Stock Proc. Appl. , vol.32 , pp. 213-224
    • de Haan, L.1    Resnick, S.I.2    Rootzen, H.3    de Vries, C.4
  • 63
    • 0033457755 scopus 로고    scopus 로고
    • Estimating the probability of a rare event
    • L. de Haan and A.K. Sinha: Estimating the probability of a rare event. Ann. Statist. 27, 732-759(1999).
    • (1999) Ann. Statist. , vol.27 , pp. 732-759
    • de Haan, L.1    Sinha, A.K.2
  • 65
    • 84995006550 scopus 로고
    • The rate of convergence in law of the maximum of an exponential sample
    • W.J. Hall and J.A. Wellner: The rate of convergence in law of the maximum of an exponential sample. Statist. Neerlandica 33, 151-154 (1979).
    • (1979) Statist. Neerlandica , vol.33 , pp. 151-154
    • Hall, W.J.1    Wellner, J.A.2
  • 68
    • 0001263124 scopus 로고
    • A simple general approach to inference about the tail of a distribution
    • B.M. Hill: A simple general approach to inference about the tail of a distribution. Ann. Statist 3,1163-1174(1975).
    • (1975) Ann. Statist , vol.3 , pp. 1163-1174
    • Hill, B.M.1
  • 69
    • 0023400777 scopus 로고
    • Parameter and quantile estimation for the generalized Pareto distribution
    • J.R.M. Hosking and J.R. Wallis: Parameter and quantile estimation for the generalized Pareto distribution. Technometrics 29, 339-349 (1987).
    • (1987) Technometrics , vol.29 , pp. 339-349
    • Hosking, J.R.M.1    Wallis, J.R.2
  • 71
    • 0013499740 scopus 로고
    • Maxima of normal random vectors: Between independence and complete dependence
    • J. Husler and R.-D. Reiss: Maxima of normal random vectors: between independence and complete dependence. Stat. Prob. Letters 7, 283-286 (1989).
    • (1989) Stat. Prob. Letters , vol.7 , pp. 283-286
    • Husler, J.1    Reiss, R.-D.2
  • 72
    • 0042611267 scopus 로고
    • Aspects of random measures and point processes
    • P. Ney and S. Port (eds.), Marcel Dekker, New York
    • P. Jagers: Aspects of random measures and point processes. In: P. Ney and S. Port (eds.) Advances in Probability and Related Topics. Marcel Dekker, New York (1974).
    • (1974) Advances in Probability and Related Topics
    • Jagers, P.1
  • 73
    • 0000974326 scopus 로고
    • On the frequency of large stock returns: Putting booms and busts into perspective
    • D.W. Jansen and C.G de Vries: On the frequency of large stock returns: Putting booms and busts into perspective. Review of Economics and Statistics 73,18-24 (1991).
    • (1991) Review of Economics and Statistics , vol.73 , pp. 18-24
    • Jansen, D.W.1    de Vries, C.G.2
  • 74
    • 84904261422 scopus 로고
    • The frequency distribution of annual maximum (Or minimum) values of meteorological elements
    • A.F. Jenkinson: The frequency distribution of annual maximum (or minimum) values of meteorological elements. Quart. J. Roy. Meteorol. Soc. 81,158-171 (1955).
    • (1955) Quart. J. Roy. Meteorol. Soc. , vol.81 , pp. 158-171
    • Jenkinson, A.F.1
  • 76
    • 0004212801 scopus 로고
    • 3rd edition, Akademic-Verlag, Berlin
    • O. Kallenberg: Random Measures. 3rd edition, Akademic-Verlag, Berlin (1983).
    • (1983) Random Measures
    • Kallenberg, O.1
  • 77
    • 0011565614 scopus 로고
    • The Robbins-Siegmund criterion for partial maxima
    • M.J. Klass: The Robbins-Siegmund criterion for partial maxima. Ann. Prob. 13, 1369-1370 (1985).
    • (1985) Ann. Prob. , vol.13 , pp. 1369-1370
    • Klass, M.J.1
  • 79
    • 33746446858 scopus 로고    scopus 로고
    • Statistics for near independence in multivariate extreme values
    • A. Ledford and J.A. Tawn: Statistics for near independence in multivariate extreme values. Biometrika 83, 169-187 (1996).
    • (1996) Biometrika , vol.83 , pp. 169-187
    • Ledford, A.1    Tawn, J.A.2
  • 80
    • 0001484870 scopus 로고    scopus 로고
    • Modelling dependence within joint tail regions
    • A. Ledford and J.A. Tawn: Modelling dependence within joint tail regions. J. Royal Statist. Soc. Ser. B 59,475-499 (1997).
    • (1997) J. Royal Statist. Soc. Ser. B , vol.59 , pp. 475-499
    • Ledford, A.1    Tawn, J.A.2
  • 81
    • 0032023309 scopus 로고    scopus 로고
    • Concomitant tail behaviour for extremes
    • A. Ledford and J.A. Tawn: Concomitant tail behaviour for extremes. Adv. Appl. Prob. 30, 197-215(1998).
    • (1998) Adv. Appl. Prob. , vol.30 , pp. 197-215
    • Ledford, A.1    Tawn, J.A.2
  • 83
    • 0000782528 scopus 로고
    • Laws of large numbers for sums of extreme values
    • D.M. Mason: Laws of large numbers for sums of extreme values. Ann. Prob. 10,754-764 (1982).
    • (1982) Ann. Prob. , vol.10 , pp. 754-764
    • Mason, D.M.1
  • 84
    • 0010932687 scopus 로고
    • On the problem of the limit distribution for the maximal term of a variational series
    • D. G Mejzler: On the problem of the limit distribution for the maximal term of a variational series. Uvov Politechn. Inst. Naucn. Zp. (Fiz.-Mat.) (in Russian) 38, 90-109 (1956).
    • (1956) Uvov Politechn. Inst. Naucn. Zp. (Fiz.-Mat.) (In Russian) , vol.38 , pp. 90-109
    • Mejzler, D.G.1
  • 85
    • 85098182823 scopus 로고    scopus 로고
    • R. von Mises: La distribution de la plus grande de n valeurs. Rev. Math. Union Interbal-canique 1,141-160 (1936) Reproduced in: Selected Papers ofRichard von Mises, Amer. Math. Soc., Vol. 2, 271-294 (1964)
    • R. von Mises: La distribution de la plus grande de n valeurs. Rev. Math. Union Interbal-canique 1,141-160 (1936) Reproduced in: Selected Papers ofRichard von Mises, Amer. Math. Soc., Vol. 2, 271-294 (1964).
  • 87
    • 0346540939 scopus 로고
    • Maxima of stationary Gaussian processes
    • J. Pickands III: Maxima of stationary Gaussian processes. Z Wahrsch. verw. Gebiete 7, 190-233 (1967).
    • (1967) Z Wahrsch. Verw. Gebiete , vol.7 , pp. 190-233
    • Pickands, J.1
  • 88
    • 53249141051 scopus 로고
    • Sample sequences of maxima
    • J. Pickands III: Sample sequences of maxima. Ann. Math. Stat. 38,1570-1574 (1967).
    • (1967) Ann. Math. Stat. , vol.38 , pp. 1570-1574
    • Pickands, J.1
  • 89
    • 0001075431 scopus 로고
    • Statistical inference using extreme order statistics
    • J. Pickands III: Statistical inference using extreme order statistics. Ann. Statist. 3,119-131 (1975).
    • (1975) Ann. Statist. , vol.3 , pp. 119-131
    • Pickands, J.1
  • 90
    • 0000836026 scopus 로고
    • Multivariate Extreme Value Distributions. Proceedings: 43rd Session of the International Statistical Institute. Book 2, Buenos Aires
    • J. Pickands III: Multivariate Extreme Value Distributions. Proceedings: 43rd Session of the International Statistical Institute. Book 2, Buenos Aires, Argentina, 859-878 (1981).
    • (1981) Argentina , pp. 859-878
    • Pickands, J.1
  • 91
    • 84963072532 scopus 로고
    • The mean value of a Dirichlet series n
    • H.S.A. Potter: The mean value of a Dirichlet series n. Proc. London Math. Soc. 47,1-19 (1942).
    • (1942) Proc. London Math. Soc. , vol.47 , pp. 1-19
    • Potter, H.S.A.1
  • 92
    • 0001791777 scopus 로고
    • On interchanging limits and integrals
    • J.W. Pratt: On interchanging limits and integrals. Ann. Math. Statist. 31, 74-77 (1960).
    • (1960) Ann. Math. Statist. , vol.31 , pp. 74-77
    • Pratt, J.W.1
  • 95
    • 0007383793 scopus 로고
    • Random USc functions, max-stable processes and continuous choice
    • S.I. Resnick and R. Roy: Random USc functions, max-stable processes and continuous choice. Ann. Appl. Probab. 1, 267-292 (1991).
    • (1991) Ann. Appl. Probab. , vol.1 , pp. 267-292
    • Resnick, S.I.1    Roy, R.2
  • 96
    • 48749141720 scopus 로고
    • Attainable rates of convergence for maxima
    • H. Rootzdn: Attainable rates of convergence for maxima. Statist. Prob. Letters 2,219-221 (1984).
    • (1984) Statist. Prob. Letters , vol.2 , pp. 219-221
    • Rootzdn, H.1
  • 97
    • 85098195591 scopus 로고
    • The tail empirical process for stationary sequences. Report 1995:9, Mathematical Statistics, Chalmers University of
    • H. Rootzdn: The tail empirical process for stationary sequences. Report 1995:9, Mathematical Statistics, Chalmers University of Technology (1995).
    • (1995) Technology
    • Rootzdn, H.1
  • 98
    • 0003655416 scopus 로고
    • 2nd edition, Macmillan, New York
    • H. L. Royden: Real Analysis. 2nd edition, Macmillan, New York (1968).
    • (1968) Real Analysis
    • Royden, H.L.1
  • 101
    • 0009565606 scopus 로고
    • Convergence in distribution of quotients of order statistics
    • B. Smid and A. J. Stam: Convergence in distribution of quotients of order statistics. Stoch. Proc. Appl. 3, 287-292 (1975).
    • (1975) Stoch. Proc. Appl. , vol.3 , pp. 287-292
    • Smid, B.1    Stam, A.J.2
  • 103
    • 0038876140 scopus 로고
    • Uniform rates of convergence in extreme value theory
    • R.L. Smith: Uniform rates of convergence in extreme value theory. Adv. in Appl. Probab. 14, 543-565 (1982).
    • (1982) Adv. in Appl. Probab. , vol.14 , pp. 543-565
    • Smith, R.L.1
  • 104
    • 0001258027 scopus 로고
    • Estimating tails of probability distributions
    • R.L. Smith: Estimating tails of probability distributions. Ann. Statist. 15, 1174-1207 (1987).
    • (1987) Ann. Statist. , vol.15 , pp. 1174-1207
    • Smith, R.L.1
  • 105
    • 34250446904 scopus 로고
    • Functional limit theorems for processes with positive drift and their inverses
    • W. Vervaat: Functional limit theorems for processes with positive drift and their inverses. Z Wahrsch. verw. Gebiete 23, 245-253 (1971).
    • (1971) Z Wahrsch. Verw. Gebiete , vol.23 , pp. 245-253
    • Vervaat, W.1


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