-
1
-
-
0036392461
-
A characterization of multivariate regular variation
-
Basrak, B., Davis, R. A., Mikosch, T.: A characterization of multivariate regular variation. Ann. Appl. Probab. 12, 908-920 (2002a).
-
(2002)
Ann. Appl. Probab.
, vol.12
, pp. 908-920
-
-
Basrak, B.1
Davis, R.A.2
Mikosch, T.3
-
2
-
-
0036201819
-
Regular variation of GARCH processes
-
Basrak, B., Davis, R. A., Mikosch, T.: Regular variation of GARCH processes. Stoch. Process. Appl. 99, 95-115 (2002b).
-
(2002)
Stoch. Process. Appl.
, vol.99
, pp. 95-115
-
-
Basrak, B.1
Davis, R.A.2
Mikosch, T.3
-
3
-
-
61849184868
-
Regularly varying multivariate time series
-
Basrak, B., Segers, J.: Regularly varying multivariate time series. Stoch. Process. Appl. 119, 1055-1080 (2009).
-
(2009)
Stoch. Process. Appl.
, vol.119
, pp. 1055-1080
-
-
Basrak, B.1
Segers, J.2
-
5
-
-
0007376530
-
Extremal behavior of the autoregressive process with ARCH(1) errors
-
Borkovec, M.: Extremal behavior of the autoregressive process with ARCH(1) errors. Stoch. Process. Appl. 85, 189-207 (2000).
-
(2000)
Stoch. Process. Appl.
, vol.85
, pp. 189-207
-
-
Borkovec, M.1
-
6
-
-
1042274763
-
Asymptotic behaviour of the sample autocovariance and autocorrelation function of the AR(1) process with ARCH(1) errors
-
Borkovec, M.: Asymptotic behaviour of the sample autocovariance and autocorrelation function of the AR(1) process with ARCH(1) errors. Bernoulli 7, 847-872 (2001).
-
(2001)
Bernoulli
, vol.7
, pp. 847-872
-
-
Borkovec, M.1
-
7
-
-
0035564935
-
The tail of the stationary distribution of an autoregressive process with ARCH(1) errors
-
Borkovec, M., Klüppelberg, C.: The tail of the stationary distribution of an autoregressive process with ARCH(1) errors. Ann. Appl. Probab. 11, 1220-1241 (2001).
-
(2001)
Ann. Appl. Probab.
, vol.11
, pp. 1220-1241
-
-
Borkovec, M.1
Klüppelberg, C.2
-
8
-
-
0001306015
-
Stationarity of GARCH processes and some nonnegative time series
-
Bougerol, P., Picard, N.: Stationarity of GARCH processes and some nonnegative time series. J. Econom. 52, 115-127 (1992a).
-
(1992)
J. Econom.
, vol.52
, pp. 115-127
-
-
Bougerol, P.1
Picard, N.2
-
9
-
-
0001523794
-
Strict stationarity of generalized autoregressive processes
-
Bougerol, P., Picard, N.: Strict stationarity of generalized autoregressive processes. Ann. Probab. 20, 1714-1730 (1992b).
-
(1992)
Ann. Probab.
, vol.20
, pp. 1714-1730
-
-
Bougerol, P.1
Picard, N.2
-
10
-
-
0000799925
-
On some limit theorems similar to the arc-sine law
-
Breiman, L.: On some limit theorems similar to the arc-sine law. Theory Probab. Appl. 10, 323-331 (1965).
-
(1965)
Theory Probab. Appl.
, vol.10
, pp. 323-331
-
-
Breiman, L.1
-
11
-
-
0001094957
-
Point process and partial sum convergence for weakly dependent random variables with infinite variance
-
Davis, R., Hsing, T.: Point process and partial sum convergence for weakly dependent random variables with infinite variance. Ann. Probab. 23, 879-917 (1995).
-
(1995)
Ann. Probab.
, vol.23
, pp. 879-917
-
-
Davis, R.1
Hsing, T.2
-
12
-
-
76549101577
-
-
Report, Department of Mathematics, University of Copenhagen, Denmark
-
Davis, R., Mikosch, T.: The extremogram: a correlogram for extreme events. Report, Department of Mathematics, University of Copenhagen, Denmark (2008).
-
(2008)
The extremogram: A correlogram for extreme events
-
-
Davis, R.1
Mikosch, T.2
-
13
-
-
0001568756
-
Limit theory for moving averages of random variables with regularly varying tail probabilities
-
Davis, R., Resnick, S.: Limit theory for moving averages of random variables with regularly varying tail probabilities. Ann. Probab. 13, 179-195 (1985).
-
(1985)
Ann. Probab.
, vol.13
, pp. 179-195
-
-
Davis, R.1
Resnick, S.2
-
14
-
-
38249027185
-
Extremes of moving averages of random variables from the domain of attraction of the double exponential distribution
-
Davis, R., Resnick, S.: Extremes of moving averages of random variables from the domain of attraction of the double exponential distribution. Stoch. Process. Appl. 30, 41-68 (1988).
-
(1988)
Stoch. Process. Appl.
, vol.30
, pp. 41-68
-
-
Davis, R.1
Resnick, S.2
-
15
-
-
29444451851
-
Extremal behavior of solutions to a stochastic difference equation with applications to ARCH processes
-
De Haan, L., Resnick, S. I., Rootzén, H., Vries, C. G.: Extremal behavior of solutions to a stochastic difference equation with applications to ARCH processes. Stoch. Process. Appl. 32, 213-224 (1989).
-
(1989)
Stoch. Process. Appl.
, vol.32
, pp. 213-224
-
-
de Haan, L.1
Resnick, S.I.2
Rootzén, H.3
Vries, C.G.4
-
18
-
-
31944450365
-
Extremes of regularly varying mixed moving average processes
-
Fasen, V.: Extremes of regularly varying mixed moving average processes. Adv. Appl. Probab. 37, 993-1014 (2005).
-
(2005)
Adv. Appl. Probab.
, vol.37
, pp. 993-1014
-
-
Fasen, V.1
-
19
-
-
33744552061
-
Extremes of subexponential Lévy driven moving average processes
-
Fasen, V.: Extremes of subexponential Lévy driven moving average processes. Stoch. Process. Appl. 116, 1066-1087 (2006).
-
(2006)
Stoch. Process. Appl.
, vol.116
, pp. 1066-1087
-
-
Fasen, V.1
-
21
-
-
84883608842
-
Extremes of mixed MA processes in the class of convolution equivalent distributions
-
Fasen, V.: Extremes of mixed MA processes in the class of convolution equivalent distributions. Extremes. (2009b).
-
(2009)
Extremes
-
-
Fasen, V.1
-
22
-
-
76549098117
-
Large insurance losses distributions
-
B. Everitt and E. Melnick (Eds.), New York: Wiley
-
Fasen, V., Klüppelberg, C.: Large insurance losses distributions. In: Everitt, B., Melnick, E. (eds.) Encyclopedia of Quantitative Risk Assessment. Wiley, New York (2008).
-
(2008)
Encyclopedia of Quantitative Risk Assessment
-
-
Fasen, V.1
Klüppelberg, C.2
-
23
-
-
0000732230
-
Implicit renewal theory and tails of solutions of random equations
-
Goldie, C. M.: Implicit renewal theory and tails of solutions of random equations. Ann. Appl. Probab. 1, 126-166 (1991).
-
(1991)
Ann. Appl. Probab.
, vol.1
, pp. 126-166
-
-
Goldie, C.M.1
-
24
-
-
0002996532
-
Subexponential distributions
-
R. J. Adler and R. E. Feldman (Eds.), Boston: Birkhäuser
-
Goldie, C. M., Klüppelberg, C.: Subexponential distributions. In: Adler, R. J., Feldman, R. E. (eds.) A Practical Guide to Heavy Tails: Statistical Techniques and Applications, pp. 435-459. Birkhäuser, Boston (1998).
-
(1998)
A Practical Guide to Heavy Tails: Statistical Techniques and Applications
, pp. 435-459
-
-
Goldie, C.M.1
Klüppelberg, C.2
-
25
-
-
10244222405
-
Joint exceedances of the ARCH process
-
With correction in J. Appl. Prob. 43, 1206
-
Gomes, M. I., de Haan, L. D., Pestana, D.: Joint exceedances of the ARCH process. J. Appl. Probab. 41, 919-926. With correction in J. Appl. Prob. 43, 1206 (2006).
-
(2006)
J. Appl. Probab.
, vol.41
, Issue.2006
, pp. 919-926
-
-
Gomes, M.I.1
de Haan, L.D.2
Pestana, D.3
-
26
-
-
11844297317
-
Extremal behavior for regularly varying stochastic processes
-
Hult, H., Lindskog, F.: Extremal behavior for regularly varying stochastic processes. Stoch. Process. Appl. 115, 249-274 (2005).
-
(2005)
Stoch. Process. Appl.
, vol.115
, pp. 249-274
-
-
Hult, H.1
Lindskog, F.2
-
27
-
-
53349109164
-
Tail probabilities for infinite series of regularly varying random vectors
-
Hult, H., Samorodnitsky, G.: Tail probabilities for infinite series of regularly varying random vectors. Bernoulli. 14, 838-864 (2008).
-
(2008)
Bernoulli.
, vol.14
, pp. 838-864
-
-
Hult, H.1
Samorodnitsky, G.2
-
29
-
-
2942672026
-
Random difference equations and renewal theory for products of random matrices
-
Kesten, H.: Random difference equations and renewal theory for products of random matrices. Acta Math. 131, 207-248 (1973).
-
(1973)
Acta Math.
, vol.131
, pp. 207-248
-
-
Kesten, H.1
-
30
-
-
33746865560
-
Continuous time volatility modelling: COGARCH versus Ornstein-Uhlenbeck models
-
Y. Kabanov, R. Liptser, and J. Stoyanov (Eds.), Berlin: Springer
-
Klüppelberg, C., Lindner, A., Maller, R.: Continuous time volatility modelling: COGARCH versus Ornstein-Uhlenbeck models. In: Kabanov, Y., Liptser, R., Stoyanov, J. (eds.) From Stochastic Calculus to Mathematical Finance. The Shiryaev Festschrift, pp. 393-419. Springer, Berlin (2006).
-
(2006)
From Stochastic Calculus to Mathematical Finance. The Shiryaev Festschrift
, pp. 393-419
-
-
Klüppelberg, C.1
Lindner, A.2
Maller, R.3
-
31
-
-
84859595556
-
Risk management with extreme value theory
-
B. Finkenstädt, H. Rootzén (Eds.), Boca Raton: Chapman & Hall/CRC
-
Klüppelberg, C.: Risk management with extreme value theory. In: Finkenstädt, B., Rootzén, H. (eds.) Extreme Values in Finance, Telecommunication and the Environment, pp. 101-168. Chapman & Hall/CRC, Boca Raton (2004).
-
(2004)
Extreme Values in Finance, Telecommunication and the Environment
, pp. 101-168
-
-
Klüppelberg, C.1
-
32
-
-
10244257719
-
A continuous time GARCH process driven by a Lévy process: Stationarity and second order behaviour
-
Klüppelberg, C., Lindner, A., Maller, R.: A continuous time GARCH process driven by a Lévy process: stationarity and second order behaviour. J. Appl. Probab. 41, 601-622 (2004).
-
(2004)
J. Appl. Probab.
, vol.41
, pp. 601-622
-
-
Klüppelberg, C.1
Lindner, A.2
Maller, R.3
-
33
-
-
33646976816
-
New estimators for the extremal index and other cluster characteristics
-
Laurini, F., Tawn, J. A.: New estimators for the extremal index and other cluster characteristics. Extremes. 6, 189-211 (2003).
-
(2003)
Extremes
, vol.6
, pp. 189-211
-
-
Laurini, F.1
Tawn, J.A.2
-
35
-
-
0037769478
-
Diagnostics for dependence within time series extremes
-
Ledford, A. W., Tawn, J. A.: Diagnostics for dependence within time series extremes. J. Roy. Statist. Soc. Ser. B 65, 521-543 (2003).
-
(2003)
J. Roy. Statist. Soc. Ser. B
, vol.65
, pp. 521-543
-
-
Ledford, A.W.1
Tawn, J.A.2
-
36
-
-
84940499148
-
Modeling dependence and tails of financial time series
-
B. Finkenstädt, H. Rootzén (Eds.), Boca Raton: Chapman & Hall/CRC
-
Mikosch, T.: Modeling dependence and tails of financial time series. In: Finkenstädt, B., Rootzén, H. (eds.) Extreme Values in Finance, Telecommunication and the Environment, pp. 185-286. Chapman & Hall/CRC, Boca Raton (2004).
-
(2004)
Extreme Values in Finance, Telecommunication and the Environment
, pp. 185-286
-
-
Mikosch, T.1
-
37
-
-
0034287159
-
Limit theory for the sample autocorrelations and extremes of a GARCH(1,1) process
-
Mikosch, T., Stǎricǎ, C.: Limit theory for the sample autocorrelations and extremes of a GARCH(1, 1) process. Ann. Statist. 28, 1427-1451 (2000).
-
(2000)
Ann. Statist.
, vol.28
, pp. 1427-1451
-
-
Mikosch, T.1
Stǎricǎ, C.2
-
38
-
-
76549102380
-
-
Naveau, P., Poncet, P., Cooley, D.: First-order variograms for extreme bivariate random vectors. Report, Laboratoire des Sciences du Climat et de l'Environnement, IPSL-CNRS, France (2008).
-
-
-
-
39
-
-
84972091517
-
Stationarity and persistence in the GARCH(1,1) model
-
Nelson, D. B.: Stationarity and persistence in the GARCH(1, 1) model. Econom. Theory 6, 318-334 (1990).
-
(1990)
Econom. Theory
, vol.6
, pp. 318-334
-
-
Nelson, D.B.1
-
40
-
-
58149333660
-
A new class of models for bivariate joint tails
-
Ramos, A., Ledford, A.: A new class of models for bivariate joint tails. J. Roy. Statist. Soc. Ser. B 71, 219-241 (2008).
-
(2008)
J. Roy. Statist. Soc. Ser. B
, vol.71
, pp. 219-241
-
-
Ramos, A.1
Ledford, A.2
-
44
-
-
3543017217
-
A dependence measure for multivariate and spatial extreme values: Properties and inference
-
Schlather, M., Tawn, J. A.: A dependence measure for multivariate and spatial extreme values: Properties and inference. Biometrika 90, 139-156 (2003).
-
(2003)
Biometrika
, vol.90
, pp. 139-156
-
-
Schlather, M.1
Tawn, J.A.2
|