Thomas Valentin Mikosch
Professor
Department of Mathematical Sciences
Universitetsparken 5
2100 København Ø
- Published
Stable limits for sums of dependent infinite variance random variables
Bartkiewicz, K., Jakubowski, A., Mikosch, Thomas Valentin & Wintenberger, O., 2011, In: Probability Theory and Related Fields. 150, 3-4, p. 337-372Research output: Contribution to journal › Journal article › Research › peer-review
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A characterization of multivariate regular variation
Basrak, B., Davis, R. A. & Mikosch, Thomas Valentin, 2002, In: Annals of Applied Probability. 12, 3, p. 908-920Research output: Contribution to journal › Journal article › Research › peer-review
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Regular variation of GARCH processes
Basrak, B., Davis, R. A. & Mikosch, Thomas Valentin, 2002, In: Stochastic Processes and Their Applications. 99, 1, p. 95-115Research output: Contribution to journal › Journal article › Research › peer-review
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Tail probabilities of subadditive functionals of Lévy processes
Braverman, M., Mikosch, Thomas Valentin & Samorodnitsky, G., 2002, In: Annals of Applied Probability. 12, 1, p. 69-100Research output: Contribution to journal › Journal article › Research › peer-review
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Large deviations for solutions to stochastic recurrence equations under Kesten's condition
Buraczewski, D., Damek, E., Mikosch, Thomas Valentin & Zienkiewicz, J., 2013, In: Annals of Probability. 41, 4, p. 2755-2790Research output: Contribution to journal › Journal article › Research › peer-review
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Stochastic Models with Power-Laws Tails: The Equation X=AX+B
Buraczewski, D., Damek, E. & Mikosch, Thomas Valentin, 2016, New York: Springer. 320 p. (Operations Research and Financial Engineering). (Springer Series in Operations Research and Financial Engineering).Research output: Book/Report › Book › Research › peer-review
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Some variations on the extremal index
Buriticá, G., Meyer, N. B., Mikosch, Thomas Valentin & Wintenberger, O., 2022, In: Zapiski Nauchnykh Seminarov POMI. 501, p. 52–77Research output: Contribution to journal › Journal article › Research › peer-review
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Large deviations of ℓp-blocks of regularly varying time series and applications to cluster inference
Buriticá, G., Mikosch, Thomas Valentin & Wintenberger, O., 2023, In: Stochastic Processes and Their Applications. 161, p. 68-101Research output: Contribution to journal › Journal article › Research › peer-review
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Weak convergence of the function-indexed integrated periodogram for infinite variance processes
Can, U., Mikosch, Thomas Valentin & Samorodnitsky, G., 2010, In: Bernoulli. 16, 4, p. 995-1015 21 p.Research output: Contribution to journal › Journal article › Research › peer-review
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Tail Behavior of ACD Models and Consequences for Likelihood-Based Estimation
Cavaliere, G., Mikosch, Thomas Valentin, Rahbek, Anders & Rasmussen, Frederik Vilandt, 2024, In: Journal of Econometrics. 238, 2, 14 p., 105613.Research output: Contribution to journal › Journal article › Research › peer-review
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Poisson limits for U-statistics
Dabrowski, A. R., Dehling, H. G., Mikosch, Thomas Valentin & Sharipov, O., 2002, In: Stochastic Processes and Their Applications. 99, 1, p. 137-157Research output: Contribution to journal › Journal article › Research › peer-review
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Whittle estimation based on the extremal spectral density of a heavy-tailed random field
Damek, E., Mikosch, Thomas Valentin, Zhao, Y. & Zienkiewicz, J., 2023, In: Stochastic Processes and Their Applications. 155, p. 232-267Research output: Contribution to journal › Journal article › Research › peer-review
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General inverse problems for regular variation
Damek, E., Mikosch, Thomas Valentin, Rosinski, J. & Samorodnitsky, G., 2014, In: Journal of Applied Probability. 51A, p. 229-248Research output: Contribution to journal › Journal article › Research › peer-review
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Applications of distance correlation to time series
Davis, R., Matsui, M., Mikosch, Thomas Valentin & Wan, P., 2018, In: Bernoulli. 24, 4A, p. 3087-3116Research output: Contribution to journal › Journal article › Research › peer-review
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Extreme value analysis for the sample covariance matrices of heavy-tailed multivariate time series
Davis, R., Heiny, J., Mikosch, Thomas Valentin & Xie, X., 2016, In: Extremes. 19, 3, p. 517-547Research output: Contribution to journal › Journal article › Research › peer-review
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Measures of serial extremal dependence and their estimation
Davis, R. A., Mikosch, Thomas Valentin & Zhao, Y., 2013, In: Stochastic Processes and Their Applications. 123, 7, p. 2575-2602Research output: Contribution to journal › Journal article › Research › peer-review
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Asymptotic theory for the sample covariance matrix of a heavy-tailed multivariate time series
Davis, R. A., Mikosch, Thomas Valentin & Pfaffel, O., 2016, In: Stochastic Processes and Their Applications. 126, 3, p. 767–799Research output: Contribution to journal › Journal article › Research › peer-review
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Extreme Value Theory for Space-Time Processes with Heavy-Tailed Distributions
Davis, R. A. & Mikosch, Thomas Valentin, 2006, Laboratory of Actuarial Mathematics / Copenhagen University: <Forlag uden navn>, p. 1-22.Research output: Working paper
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The extremogram: a correlogram for extreme events.
Davis, R. A. & Mikosch, Thomas Valentin, 2009, In: Bernoulli. 195, 4, p. 977-1009Research output: Contribution to journal › Journal article › Research › peer-review
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Empirical Process Techniques for Dependent Data
Dehling, H. G. (ed.), Mikosch, Thomas Valentin (ed.) & Sørensen, Michael (ed.), 2002, Boston: Birkhäuser Verlag. 545 p.Research output: Book/Report › Anthology › Research › peer-review
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Distance covariance for discretized stochastic processes
Dehling, H. G., Matsui, M., Mikosch, Thomas Valentin, Samorodnitsky, G. & Tafakori, L., 2020, In: Bernoulli. 26, p. 2758-2789Research output: Contribution to journal › Journal article › Research › peer-review
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Exact simulation of Brown-Resnick random fields at a finite number of locations
Dieker, T. & Mikosch, Thomas Valentin, 2015, In: Extremes. 18, p. 301-314Research output: Contribution to journal › Journal article › Research › peer-review
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Homogeneous mappings of regularly varying vectors
Dyszewski, P. & Mikosch, Thomas Valentin, 2020, In: Annals of Applied Probability. 30, 6, p. 2999-3026Research output: Contribution to journal › Journal article › Research › peer-review
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Aggregation of log-linear risks
Embrechts, P., Hashorva, E. & Mikosch, Thomas Valentin, 2014, In: Journal of Applied Probability. 51A, p. 203-212Research output: Contribution to journal › Journal article › Research › peer-review
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Modern Extreme Value Theory at the Interface of Risk Management, Bayesian Networks and Heavy-Tailed Time Series
Embrechts, P., Klüppelberg, C. & Mikosch, Thomas Valentin, 2023, Mathematics Going Forward: Collected Mathematical Brushstrokes. Springer, p. 115-139 25 p. (Lecture Notes in Mathematics, Vol. 2313).Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research › peer-review
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Modeling teletraffic arrivals by a Poisson cluster process
Faÿ, G., González-Arévalo2, B., Mikosch, Thomas Valentin & Samorodnitsky, G., 2006, In: Queueing Systems. 54, 2, p. 121-140Research output: Contribution to journal › Journal article › Research › peer-review
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Modeling Telefraffic Arrivals by a Poisson Cluster Process
Fäy, G., González-Arávalo, B., Mikosch, Thomas Valentin & Samorodnitsky, G., 2005, Laboratory of Actuarial Mathematics: H.C.Ø.-Tryk, p. 1-27.Research output: Working paper
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Regularly varying functions
Hedegaard Jessen, A. & Mikosch, Thomas Valentin, 2006, Laboratory of Actuarial Mathematics / Copenhagen University: <Forlag uden navn>, p. 1-23.Research output: Working paper
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Large sample autocovariance matrices of linear processes with heavy tails
Heiny, J. & Mikosch, Thomas Valentin, 2021, In: Stochastic Processes and Their Applications. 141, p. 344-375Research output: Contribution to journal › Journal article › Research › peer-review
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Point process convergence for the off-diagonal entries of sample covariance matrices
Heiny, J., Mikosch, Thomas Valentin & Yslas, J., 2021, In: Annals of Applied Probability. 31, 2, p. 538-560Research output: Contribution to journal › Journal article › Research › peer-review
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The eigenstructure of the sample covariance matrices of high-dimensional stochastic volatility models with heavy tails
Heiny, J. & Mikosch, Thomas Valentin, 2019, In: Bernoulli. 25, 4 B, p. 3590-3622 33 p.Research output: Contribution to journal › Journal article › Research › peer-review
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Almost sure convergence of the largest and smallest eigenvalues of high-dimensional sample correlation matrices
Heiny, J. & Mikosch, Thomas Valentin, 2018, In: Stochastic Processes and Their Applications. 128, 8, p. 2779-2815 37 p.Research output: Contribution to journal › Journal article › Research › peer-review
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Eigenvalues and eigenvectors of heavy-tailed sample covariance matrices with general growth rates: the iid case.
Heiny, J. & Mikosch, Thomas Valentin, 2017, In: Stochastic Processes and Their Applications. 127, 7, p. 2179-2242Research output: Contribution to journal › Journal article › Research › peer-review
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Functional Large Deviations for Multivariate Regularly Varying Random Walks
Hult, H., Lindskog, F., Mikosch, Thomas Valentin & Samorodnitsky, G., 2004, Afdeling for Anvendt Matematik og Statistik / Københavns Universitet: H.C.Ø.-Tryk, p. 1-25.Research output: Working paper
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Functional large deviations for multivariate regularly varying random walks
Hult, H., Lindskog, F., Mikosch, Thomas Valentin & Samorodnitsky, G., 2005, In: Annals of Applied Probability. 15, 4, p. 2651-2680Research output: Contribution to journal › Journal article › Research › peer-review
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The eigenvalues of the sample covariance matrix of a multivariate heavy-tailed stochastic volatility model
Janßen, A., Mikosch, Thomas Valentin, Rezapour Toughari, M. & Xie, X., 2018, In: Bernoulli. 24, 2, p. 1351-1393Research output: Contribution to journal › Journal article › Research › peer-review
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Regular variation in the mean and stable limits for Poisson shot noise
Klüppelberg, C., Mikosch, Thomas Valentin & Schärf, A., 2003, In: Bernoulli. 9, 3, p. 467-496Research output: Contribution to journal › Journal article › Research › peer-review
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Large deviations and ruin probabilities for solutions to stochastic recurrence equations with heavy-tailed
Konstantinides, D. & Mikosch, Thomas Valentin, 2005, In: Annals of Probability. 33, p. 1992-2035Research output: Contribution to journal › Journal article › Research › peer-review
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Large Deviations and Ruin Probabilities for Solutions to Stochastic Recurrence Equations with Heavy-Tailed Innovations
Konstantinides, D. G. & Mikosch, Thomas Valentin, 2004, Afdeling for Anvendt Matematik og Statistik / Københavns Universitet: H.C.Ø.-Tryk, p. 1-32.Research output: Working paper
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On logarithmically optimal exact simulation of max-stable and related random fields on a compact set
Liu, Z., Blanchet, J. H., Dieker, A. B. & Mikosch, Thomas Valentin, 2019, In: Bernoulli. 25, 4A, p. 2949-2981Research output: Contribution to journal › Journal article › Research › peer-review
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Distance covariance for random fields
Matsui, M., Mikosch, Thomas Valentin, Roozegar, R. & Tafakori, L., 2022, In: Stochastic Processes and Their Applications. 150, p. 280-322 43 p.Research output: Contribution to journal › Journal article › Research › peer-review
- Published
Distance correlation for stochastic processes
Matsui, M., Mikosch, Thomas Valentin & Samorodnitsky, G., 2017, In: Probability and Mathematical Statistics. 37, 2, p. 355-372 18 p.Research output: Contribution to journal › Journal article › Research › peer-review
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Estimation of the tail index for lattice-valued sequences
Matsui, M., Mikosch, Thomas Valentin & Tafakori, L., 2013, In: Extremes. 16, p. 429-455Research output: Contribution to journal › Journal article › Research › peer-review
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The extremogram and the cross-extremogram for a bivariate GARCH(1, 1) process
Matsui, M. & Mikosch, Thomas Valentin, 2016, In: Advances in Applied Probability. 48 , A, p. 217 - 233Research output: Contribution to journal › Journal article › Research › peer-review
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Heavy tails for an alternative stochastic perpetuity model
Mikosch, Thomas Valentin, Rezapour, M. & Wintenberger, O., 2019, In: Stochastic Processes and Their Applications. 129, 11, p. 4638-4662 25 p.Research output: Contribution to journal › Journal article › Research › peer-review
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Long range dependence effects and ARCH modeling
Mikosch, Thomas Valentin & Starica, C., 2003, Theory and Applications of Long-Range Dependence. Boston: Birkhäuser Verlag, p. 439-460Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research
- Published
Precise large deviations for dependent regularly varying sequences
Mikosch, Thomas Valentin & Wintenberger, O., Aug 2013, In: Probability Theory and Related Fields. 156, 3-4, p. 851-887Research output: Contribution to journal › Journal article › Research › peer-review
- Published
Precise large deviations for dependent subexponential variables
Mikosch, Thomas Valentin & Rodionov, I., 2021, In: Bernoulli. 27, 2, p. 1319-1347 29 p.Research output: Contribution to journal › Journal article › Research › peer-review
- Published
Scaling Limits for Workload Process
Mikosch, Thomas Valentin & Samorodnitsky, G., 2006, Laboratory of Actuarial Mathematics / Copenhagen University: <Forlag uden navn>, p. 1-31.Research output: Working paper
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Stochastic volatility models with possible extremal clustering
Mikosch, Thomas Valentin & Rezapur, M., 2013, In: Bernoulli. 19, 5A, p. 1688-1713Research output: Contribution to journal › Journal article › Research › peer-review
ID: 3696
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General inverse problems for regular variation
Research output: Contribution to journal › Journal article › Research › peer-review
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Aggregation of log-linear risks
Research output: Contribution to journal › Journal article › Research › peer-review
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A Fourier analysis of extreme events
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