-
2
-
-
0036392461
-
A characterization of multivariate regular variation
-
Basrak, B., Davis, R. A. and Mikosch, T. (2002). A characterization of multivariate regular variation. Ann. Appl. Prob. 12, 908-920.
-
(2002)
Ann. Appl. Prob.
, vol.12
, pp. 908-920
-
-
Basrak, B.1
Davis, R.A.2
Mikosch, T.3
-
5
-
-
42449156579
-
Generalized autoregressive conditional heteroskedasticity
-
Bollerslev, T. (1986). Generalized autoregressive conditional heteroskedasticity. J. Econometrics 31,307-327.
-
(1986)
J. Econometrics
, vol.31
, pp. 307-327
-
-
Bollerslev, T.1
-
6
-
-
34848900983
-
ARCH modeling in finance: A review of the theory and empirical evidence
-
Bollerslev, T., Chow, R. Y. and Kroner, K. F. (1992). ARCH modeling in finance: a review of the theory and empirical evidence. J. Econometrics 52, 5-59.
-
(1992)
J. Econometrics
, vol.52
, pp. 5-59
-
-
Bollerslev, T.1
Chow, R.Y.2
Kroner, K.F.3
-
8
-
-
0030149554
-
Self-similarity in world wide web traffic: Evidence and possible causes
-
Crovella, M. and Bestavros, A. (1996). Self-similarity in world wide web traffic: evidence and possible causes. Performance Evaluation Rev. 24, 160-169.
-
(1996)
Performance Evaluation Rev
, vol.24
, pp. 160-169
-
-
Crovella, M.1
Bestavros, A.2
-
9
-
-
0031383380
-
Self-similarity in world wide web traffic: Evidence and possible causes
-
Crovella, M. and Bestavros, A. (1997). Self-similarity in world wide web traffic: evidence and possible causes. IEEE/ACM Trans. Networking 5, 835-846.
-
(1997)
IEEE/ACM Trans. Networking
, vol.5
, pp. 835-846
-
-
Crovella, M.1
Bestavros, A.2
-
10
-
-
0001939946
-
Heavy-tailed probability distributions in the world wide web
-
M. S. Taqqu, R. Adler and R. Feldman, Birkhäuser, Boston, MA
-
Crovella, M., Bestavros, A. and Taqqu, M. S. (1999). Heavy-tailed probability distributions in the world wide web. In A Practical Guide to Heavy Tails: Statistical Techniques and Applications, eds M. S. Taqqu, R. Adler and R. Feldman, Birkhäuser, Boston, MA, pp. 3-26.
-
(1999)
A Practical Guide to Heavy Tails: Statistical Techniques and Applications
, pp. 3-26
-
-
Crovella, M.1
Bestavros, A.2
Taqqu, M.S.3
-
11
-
-
84971138745
-
Central limit theorems for sums of extreme values
-
Csörgo, S. and Mason, D. (1985). Central limit theorems for sums of extreme values. Math. Proc. Camb. Phil. Soc. 98, 547-558.
-
(1985)
Math. Proc. Camb. Phil. Soc.
, vol.98
, pp. 547-558
-
-
Csörgo, S.1
Mason, D.2
-
12
-
-
0000857049
-
Kernel estimates for the tail index of a distribution
-
Csörgo, S, Deheuvels, P. and Mason, D. (1985). Kernel estimates for the tail index of a distribution. Ann. Statist. 13, 1050-1077.
-
(1985)
Ann. Statist.
, vol.13
, pp. 1050-1077
-
-
Csörgo, S.1
Deheuvels, P.2
Mason, D.3
-
14
-
-
0032264526
-
The sample autocorrelations of heavy-tailed processes with applications to ARCH
-
Davis, R. A. and Mikosch, T. (1998). The sample autocorrelations of heavy-tailed processes with applications to ARCH. Ann. Statist. 26, 2049-2080.
-
(1998)
Ann. Statist.
, vol.26
, pp. 2049-2080
-
-
Davis, R.A.1
Mikosch, T.2
-
15
-
-
0006002068
-
Integrals and derivatives of regularly varying functions in Rd and domains of attraction of stable distributions, II
-
d and domains of attraction of stable distributions, II. Stoch. Process. Appl. 16, 157-170.
-
(1984)
Stoch. Process. Appl.
, vol.16
, pp. 157-170
-
-
De Haan, L.1
Omey, E.2
-
16
-
-
0000732708
-
Limit theory for multivariate sample extremes
-
DeHaan, L. and Resnick, S. I. (1977). Limit theory for multivariate sample extremes. Z. Wahrscheinlichkeitsth. 40, 317-337.
-
(1977)
Z. Wahrscheinlichkeitsth.
, vol.40
, pp. 317-337
-
-
Dehaan, L.1
Resnick, S.I.2
-
17
-
-
0009165582
-
Derivatives of regularly varying functions in Rd and domains of attraction of stable distributions
-
d and domains of attraction of stable distributions. Stoch. Process. Appl. 8, 349-355.
-
(1978)
Stoch. Process. Appl.
, vol.8
, pp. 349-355
-
-
De Haan, L.1
Resnick, S.I.2
-
18
-
-
0040620195
-
On regular variation of probability densities
-
De Haan, L. and Resnick, S. I. (1987). On regular variation of probability densities. Stoch. Process. Appl. 25, 83-95.
-
(1987)
Stoch. Process. Appl.
, vol.25
, pp. 83-95
-
-
De Haan, L.1
Resnick, S.I.2
-
19
-
-
0011515738
-
On asymptotic normality of the Hill estimator
-
De Haan, L. and Resnick, S. I. (1998). On asymptotic normality of the Hill estimator. Stoch. Models 14, 849-867.
-
(1998)
Stoch. Models
, vol.14
, pp. 849-867
-
-
De Haan, L.1
Resnick, S.I.2
-
22
-
-
23044519970
-
How to make a Hill plot
-
Drees, H., de Haan, L. and Resnick, S. (2000). How to make a Hill plot. Ann. Statist. 28, 254-274.
-
(2000)
Ann. Statist.
, vol.28
, pp. 254-274
-
-
Drees, H.1
De Haan, L.2
Resnick, S.3
-
23
-
-
0001115174
-
Analyzing telecommunications traffic data from working common channel signaling subnetworks
-
(Proc. 25th Symp. Interface San Diego, CA), eds M. E. Tarter and M. D. Lock
-
Duffy, D. E., McIntosh, A. A., Rosenstein, M. and Willinger, W. (1993). Analyzing telecommunications traffic data from working common channel signaling subnetworks. In Computing Science and Statistics Interface (Proc. 25th Symp. Interface San Diego, CA), eds M. E. Tarter and M. D. Lock, pp. 156-165.
-
(1993)
Computing Science and Statistics Interface
, pp. 156-165
-
-
Duffy, D.E.1
McIntosh, A.A.2
Rosenstein, M.3
Willinger, W.4
-
24
-
-
0035470895
-
Nonparametric estimation of the spectral measure of an extreme value distribution
-
Einmahl, J., de Haan, L. and Piterbarg, V (2001). Nonparametric estimation of the spectral measure of an extreme value distribution. Ann. Statist. 29, 1401-1423.
-
(2001)
Ann. Statist.
, vol.29
, pp. 1401-1423
-
-
Einmahl, J.1
De Haan, L.2
Piterbarg, V.3
-
25
-
-
0000051984
-
Autoregressive conditional heteroskedasticity with estimates of the variance of United Kingdom inflation
-
Engle, R. F. (1982). Autoregressive conditional heteroskedasticity with estimates of the variance of United Kingdom inflation. Econometrica 50, 987-1008.
-
(1982)
Econometrica
, vol.50
, pp. 987-1008
-
-
Engle, R.F.1
-
26
-
-
85037179694
-
-
(Proc. 5th SemStat, Sem. Europ. Statist., Gothenburg, 2001). Chapman and Hall/CRC, Boca Raton, FL
-
Finkenstädt, B. and Rootzen, H. (eds) (2003). Extreme Values in Finance, Telecommunications, and the Environment (Proc. 5th SemStat, Sem. Europ. Statist., Gothenburg, 2001). Chapman and Hall/CRC, Boca Raton, FL.
-
(2003)
Extreme Values in Finance, Telecommunications, and the Environment
-
-
Finkenstädt, B.1
Rootzen, H.2
-
27
-
-
0003673620
-
-
(CWI Tract 40). Stichting Mathematisch Centrum, Centrum voor Wiskunde en Informatica, Amsterdam
-
Geluk, J. L. and de Haan, L. (1987). Regular Variation, Extensions and Tauberian Theorems (CWI Tract 40). Stichting Mathematisch Centrum, Centrum voor Wiskunde en Informatica, Amsterdam.
-
(1987)
Regular Variation, Extensions and Tauberian Theorems
-
-
Geluk, J.L.1
De Haan, L.2
-
28
-
-
0000732230
-
Implicit renewal theory and tails of solutions of random equations
-
Goldie, C. M. (1991). Implicit renewal theory and tails of solutions of random equations. Ann. Appl. Prob. 1, 126-166.
-
(1991)
Ann. Appl. Prob.
, vol.1
, pp. 126-166
-
-
Goldie, C.M.1
-
29
-
-
2942672026
-
Random difference equations and renewal theory for products of random matrices
-
Kesten, H. (1973). Random difference equations and renewal theory for products of random matrices. Acta Math. 131, 207-248.
-
(1973)
Acta Math
, vol.131
, pp. 207-248
-
-
Kesten, H.1
-
30
-
-
0030384024
-
On the relationship between file sizes, transport protocols, and self-similar network traffic. In
-
Crovella, M., Kim, G. and Park, K. (1996). On the relationship between file sizes, transport protocols, and self-similar network traffic. In Proc. 4th Internat. Conf. Network Protocols (ICNP’96), pp. 171-180.
-
(1996)
Proc. 4Th Internat. Conf. Network Protocols (ICNP’96)
, pp. 171-180
-
-
Crovella, M.1
Kim, G.2
Park, K.3
-
31
-
-
0002198227
-
(1993). Statistical analysis of high timeresolution ethernet Lan traffic measurements
-
(Proc. 25th Symp. Interface, San Diego, CA), eds M. E. Taylor and M. D. Lock
-
Leland, W. E., Taqqu, M. S., Willinger, W. and Wilson, D. V. (1993). Statistical analysis of high timeresolution ethernet Lan traffic measurements. In Computer Science and Statistics Interface (Proc. 25th Symp. Interface, San Diego, CA), eds M. E. Taylor and M. D. Lock, pp. 146-155.
-
Computer Science and Statistics Interface
, pp. 146-155
-
-
Leland, W.E.1
Taqqu, M.S.2
Willinger, W.3
Wilson, D.V.4
-
32
-
-
0000782528
-
Laws of large numbers for sums of extreme values
-
Mason, D. (1982). Laws of large numbers for sums of extreme values. Ann. Prob. 10, 754-764.
-
(1982)
Ann. Prob.
, vol.10
, pp. 754-764
-
-
Mason, D.1
-
33
-
-
0001411703
-
A strong invariance theorem for the tail empirical process
-
Mason, D. (1988). A strong invariance theorem for the tail empirical process. Ann. Inst. H. Poincare Prob. Statist. 24, 491-506.
-
(1988)
Ann. Inst. H. Poincare Prob. Statist.
, vol.24
, pp. 491-506
-
-
Mason, D.1
-
34
-
-
0010083335
-
Weak convergence of the Hill estimator process
-
J. Galambos, J. Lechner, and E. Simiu, Kluwer, Dordrecht
-
Mason, D. and Turova, T. (1994). Weak convergence of the Hill estimator process. In Extreme Value Theory and Applications, eds J. Galambos, J. Lechner, and E. Simiu, Kluwer, Dordrecht, pp. 419-432.
-
(1994)
Extreme Value Theory and Applications
, pp. 419-432
-
-
Mason, D.1
Turova, T.2
-
35
-
-
84940499148
-
Modeling dependence and tails of financial time series
-
(SemStat, Gothenburg, 2001), eds B. Finkenstadt and H. Rootzen, Chapman and Hall/CRC, Boca Raton, FL
-
Mikosch, T. (2003). Modeling dependence and tails of financial time series. In Extreme Values in Finance, Telecommunications, and the Environment (SemStat, Gothenburg, 2001), eds B. Finkenstadt and H. Rootzen, Chapman and Hall/CRC, Boca Raton, FL, pp. 185-286.
-
(2003)
Extreme Values in Finance, Telecommunications, and the Environment
, pp. 185-286
-
-
Mikosch, T.1
-
37
-
-
0000569678
-
Tail equivalence and its applications
-
Resnick, S. (1971). Tail equivalence and its applications. J. Appl. Prob. 8, 136-156.
-
(1971)
J. Appl. Prob.
, vol.8
, pp. 136-156
-
-
Resnick, S.1
-
38
-
-
0002095272
-
Point processes, regular variation and weak convergence
-
Resnick, S. (1986). Point processes, regular variation and weak convergence. Adv. Appl Prob. 18, 66-138.
-
(1986)
Adv. Appl Prob.
, vol.18
, pp. 66-138
-
-
Resnick, S.1
-
40
-
-
85011519678
-
Discussion of the Danish data on large fire insurance losses
-
Resnick, S. (1997). Discussion of the Danish data on large fire insurance losses. ASTIN Bull. 27, 139-151.
-
(1997)
ASTIN Bull
, vol.27
, pp. 139-151
-
-
Resnick, S.1
-
41
-
-
0031512270
-
Heavy tail modeling and teletraffic data
-
Resnick, S. (1997). Heavy tail modeling and teletraffic data. Ann. Statist. 25, 1805-1869.
-
(1997)
Ann. Statist.
, vol.25
, pp. 1805-1869
-
-
Resnick, S.1
-
42
-
-
27844514042
-
Modeling data networks
-
B. Finkenstadt and H. Rootzen, Chapman and Hall/CRC, Boca Raton, FL
-
Resnick, S. (2003). Modeling data networks. In Extreme Values in Finance, Telecommunications, and the Environment (SemStat, Gothenburg, 2001), eds B. Finkenstadt and H. Rootzen, Chapman and Hall/CRC, Boca Raton, FL, pp. 287-372.
-
(2003)
Extreme Values in Finance, Telecommunications, and the Environment (Semstat, Gothenburg, 2001)
, pp. 287-372
-
-
Resnick, S.1
-
43
-
-
21844502279
-
Consistency of Hill’s estimator for dependent data
-
Resnick, S. and Starica, C. (1995). Consistency of Hill’s estimator for dependent data. J. Appl. Prob. 32, 139-167.
-
(1995)
J. Appl. Prob.
, vol.32
, pp. 139-167
-
-
Resnick, S.1
Starica, C.2
-
44
-
-
0008697956
-
Asymptotic behavior of Hill’s estimator for autoregressive data
-
Resnick, S. and Starica, C. (1997). Asymptotic behavior of Hill’s estimator for autoregressive data. Stoch. Models 13, 703-723.
-
(1997)
Stoch. Models
, vol.13
, pp. 703-723
-
-
Resnick, S.1
Starica, C.2
-
45
-
-
0000701834
-
Smoothing the Hill estimator
-
Resnick, S. and Starica, C. (1997). Smoothing the Hill estimator. Adv. Appl. Prob. 29, 271-293.
-
(1997)
Adv. Appl. Prob.
, vol.29
, pp. 271-293
-
-
Resnick, S.1
Starica, C.2
-
46
-
-
0038979538
-
Tail index estimation for dependent data
-
Resnick, S. and Starica, C. (1998). Tail index estimation for dependent data. Ann. Appl. Prob. 8, 1156-1183.
-
(1998)
Ann. Appl. Prob.
, vol.8
, pp. 1156-1183
-
-
Resnick, S.1
Starica, C.2
-
47
-
-
0004263072
-
-
(Lecture Notes Math. 508). Springer, NewYork
-
Seneta, E. (1976). Regularly Varying Functions (Lecture Notes Math. 508). Springer, NewYork.
-
(1976)
Regularly Varying Functions
-
-
Seneta, E.1
-
48
-
-
0040920042
-
Estimating failure probability when failure is rare: Multidimensional case. Doctoral Thesis, Tinbergen Institute
-
Sinha, A. K. (1997). Estimating failure probability when failure is rare: multidimensional case. Doctoral Thesis, Tinbergen Institute, Erasmus University Rotterdam.
-
(1997)
Erasmus University Rotterdam
-
-
Sinha, A.K.1
-
49
-
-
0002234093
-
Multivariate extremes for models with constant conditional correlations
-
Starica, C. (1999). Multivariate extremes for models with constant conditional correlations. J. Empirical Finance 6, 515-553.
-
(1999)
J. Empirical Finance
, vol.6
, pp. 515-553
-
-
Starica, C.1
-
50
-
-
17544364517
-
Multivariate extremes for models with constant conditional correlations
-
ed P. Embrechts, Risk Books, London
-
Starica, C. (2000). Multivariate extremes for models with constant conditional correlations. In Extremes and Integrated Risk Management, ed P. Embrechts, Risk Books, London, pp. 515-553.
-
(2000)
Extremes and Integrated Risk Management
, pp. 515-553
-
-
Starica, C.1
-
51
-
-
0001565579
-
Onastochastic difference equationandarepresentation of non-negativeinfinitelydivisible random variables
-
Vervaat, W. (1979). Onastochastic difference equationandarepresentation of non-negativeinfinitelydivisible random variables. Adv. Appl Prob. 11, 750-783.
-
(1979)
Adv. Appl Prob.
, vol.11
, pp. 750-783
-
-
Vervaat, W.1
-
52
-
-
84972521562
-
Self-similarityinhigh-speedpackettraffic: Analysis and modelling of ethernet traffic measurements
-
Willinger, W., Taqqu, M. S., Leland, M. and Wilson, D. (1995). Self-similarityinhigh-speedpackettraffic: analysis and modelling of ethernet traffic measurements. Statist. Sci. 10, 67-85.
-
(1995)
Statist. Sci.
, vol.10
, pp. 67-85
-
-
Willinger, W.1
Taqqu, M.S.2
Leland, M.3
Wilson, D.4
-
53
-
-
85013592037
-
Self-similarity through high variability: Statistical analysis of ethernet lan traffic at the source level
-
Willinger, W., Taqqu, M. S., Leland, M. and Wilson, D. (1995). Self-similarity through high variability: statistical analysis of ethernet lan traffic at the source level. Comput. Commun. Rev. 25, 100-113.
-
(1995)
Comput. Commun. Rev.
, vol.25
, pp. 100-113
-
-
Willinger, W.1
Taqqu, M.S.2
Leland, M.3
Wilson, D.4
|