Thomas Valentin Mikosch

Thomas Valentin Mikosch

Professor


  1. Published

    Quasi-MLE in heteroscedastic times series: a stochastic recurrence equations approach

    Mikosch, Thomas Valentin & Straumann, D., 2006, In: Annals of Statistics. 34, p. 2449--2495 46 p.

    Research output: Contribution to journalJournal articleResearchpeer-review

  2. Published

    A Fourier analysis of extreme events

    Mikosch, Thomas Valentin & Zhao, Y., 2014, In: Bernoulli. 20, 2, p. 803-845

    Research output: Contribution to journalJournal articleResearchpeer-review

  3. Published

    A characterization of multivariate regular variation

    Basrak, B., Davis, R. A. & Mikosch, Thomas Valentin, 2002, In: Annals of Applied Probability. 12, 3, p. 908-920

    Research output: Contribution to journalJournal articleResearchpeer-review

  4. Published

    A large deviation principle for Minkowski sums of heavy-tailed random compact convex sets with finite expectation

    Mikosch, Thomas Valentin, Pawlas, Z. & Samorodnitsky, G., 2011, In: Journal of Applied Probability. 48A, p. 133-144

    Research output: Contribution to journalJournal articleResearchpeer-review

  5. Published

    A large deviations approach to limit theory for heavy-tailed time series

    Mikosch, Thomas Valentin & Wintenberger, O., 2016, In: Probability Theory and Related Fields. 166, p. 233-269

    Research output: Contribution to journalJournal articleResearchpeer-review

  6. Published

    Activity Rates with Very Heavy Tails

    Mikosch, Thomas Valentin & Resnick, S., 2004, Afdeling for Anvendt Matematik og Statistik / Københavns Universitet: H.C.Ø.-Tryk, p. 1-23.

    Research output: Working paperResearch

  7. Published

    Activity rates with very heavy tails

    Mikosch, Thomas Valentin & Resnik, S., 2006, In: Stochastic Processes and Their Applications. 116, 2, p. 131-155

    Research output: Contribution to journalJournal articleResearchpeer-review

  8. Published

    Aggregation of log-linear risks

    Embrechts, P., Hashorva, E. & Mikosch, Thomas Valentin, 2014, In: Journal of Applied Probability. 51A, p. 203-212

    Research output: Contribution to journalJournal articleResearchpeer-review

  9. Published

    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 journalJournal articleResearchpeer-review

  10. Published

    Applications of distance correlation to time series

    Davis, R., Matsui, M., Mikosch, Thomas Valentin & Wan, P., 2018, In: Bernoulli. 24, 4A, p. 3087-3116

    Research output: Contribution to journalJournal articleResearchpeer-review

  11. Published

    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. 767–799

    Research output: Contribution to journalJournal articleResearchpeer-review

  12. Published

    Change of structure in financial time series and the GARCH model

    Mikosch, Thomas Valentin & Starica, C., 2004, In: Revstat Statistical Journal. 2, p. 16-41

    Research output: Contribution to journalJournal articleResearchpeer-review

  13. Published

    Copulas: Tales and Facts

    Mikosch, Thomas Valentin, 2005, Laboratory of Actuarial Mathematics: H.C.Ø.-Tryk, p. 1-13.

    Research output: Working paperResearch

  14. Published

    Copulas: tales and facts. Discussion paper with a rejoinder.

    Mikosch, Thomas Valentin, 2006, In: Extremes. 9, p. 3-20,55-62 25 p.

    Research output: Contribution to journalJournal articleResearchpeer-review

  15. 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 journalJournal articleResearchpeer-review

  16. Published

    Distance covariance for discretized stochastic processes

    Dehling, H. G., Matsui, M., Mikosch, Thomas Valentin, Samorodnitsky, G. & Tafakori, L., 2020, In: Bernoulli. 26, p. 2758-2789

    Research output: Contribution to journalJournal articleResearchpeer-review

  17. Published

    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 journalJournal articleResearchpeer-review

  18. Published

    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. 2179-2242

    Research output: Contribution to journalJournal articleResearchpeer-review

  19. Published

    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/ReportAnthologyResearchpeer-review

  20. Published

    Estimation of the tail index for lattice-valued sequences

    Matsui, M., Mikosch, Thomas Valentin & Tafakori, L., 2013, In: Extremes. 16, p. 429-455

    Research output: Contribution to journalJournal articleResearchpeer-review

  21. Published

    Exact simulation of Brown-Resnick random fields at a finite number of locations

    Dieker, T. & Mikosch, Thomas Valentin, 2015, In: Extremes. 18, p. 301-314

    Research output: Contribution to journalJournal articleResearchpeer-review

  22. Published

    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 paperResearch

  23. Published

    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. 517-547

    Research output: Contribution to journalJournal articleResearchpeer-review

  24. Published

    Extreme value theory for GARCH processes

    Mikosch, Thomas Valentin, 2009, Handbook of Financial Time Series. Andersen, T. G., Davis, R. A., Kreiss, J-P. & Mikosch, T. (eds.). Berlin, Heidelberg: Springer, p. 187-200

    Research output: Chapter in Book/Report/Conference proceedingEncyclopedia chapterResearch

  25. Published

    Extreme value theory for space-time processes withheavy-tailed distributions

    Mikosch, Thomas Valentin & Davis, R. A., 2008, In: Stochastic Processes and Their Applications. 118, p. 560-584 25 p.

    Research output: Contribution to journalJournal articleResearchpeer-review

  26. Published

    Extremes of stochastic volatility models

    Mikosch, Thomas Valentin & Davis, R. A., 2009, Handbook of Financial Time Series. Andersen, T. G., Davis, R. A., Kreiss, J-P. & Mikosch, T. (eds.). Berlin, Heidelberg: Springer, p. 355-364

    Research output: Chapter in Book/Report/Conference proceedingEncyclopedia chapterResearch

  27. Published

    Fractional moments of solutions to stochastic recurrence equations

    Mikosch, Thomas Valentin, Matsui, M. & Tafakori, L., 2013, In: Journal of Applied Probability. 50, p. 969-982

    Research output: Contribution to journalJournal articleResearchpeer-review

  28. Published

    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 paperResearch

  29. Published

    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. 2651-2680

    Research output: Contribution to journalJournal articleResearchpeer-review

  30. Published

    General inverse problems for regular variation

    Damek, E., Mikosch, Thomas Valentin, Rosinski, J. & Samorodnitsky, G., 2014, In: Journal of Applied Probability. 51A, p. 229-248

    Research output: Contribution to journalJournal articleResearchpeer-review

  31. Published

    Gumbel and Frechet convergence of the maxima of independent random walks

    Mikosch, Thomas Valentin & Yslas Altamirano, J., 2020, In: Advances in Applied Probability. 52, 1, p. 213-236

    Research output: Contribution to journalJournal articleResearchpeer-review

  32. Published

    Handbook of Financial Time Series

    Mikosch, Thomas Valentin (ed.), Andersen, T. G. (ed.), Davis, R. A. (ed.) & Kreiss, J. (ed.), 2009, Berlin, Heidelberg: Springer. 1050 p.

    Research output: Book/ReportAnthologyResearchpeer-review

  33. Published

    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 journalJournal articleResearchpeer-review

  34. Published

    Heavy tails of OLS

    Mikosch, Thomas Valentin & de Vries, C., 2013, In: Journal of Econometrics. 172, 2, p. 205-221

    Research output: Contribution to journalJournal articleResearchpeer-review

  35. Published

    Homogeneous mappings of regularly varying vectors

    Dyszewski, P. & Mikosch, Thomas Valentin, 2020, In: Annals of Applied Probability. 30, 6, p. 2999-3026

    Research output: Contribution to journalJournal articleResearchpeer-review

  36. Published

    How to Model Multivariate Extremes if One Must?

    Mikosch, Thomas Valentin, 2004, Afdeling for Anvendt Matematik og Statistik / Københavns Universitet: H.C.Ø.-Tryk, p. 1-18.

    Research output: Working paperResearch

  37. Published

    How to model multivariate extremes if one must?

    Mikosch, Thomas Valentin, 2005, In: Statistica Neerlandica. 59, p. 324-338

    Research output: Contribution to journalJournal articleResearchpeer-review

  38. Published

    Inverse problems for regular variation of linear filters, a cancellation property for $\sigma$-finite measures, and identification of stable laws.

    Mikosch, Thomas Valentin, Jacobsen, Martin, Rosinski, J. & Samorodnitsky, G., 2009, In: Annals of Applied Probability. 19, 1, p. 210-242 33 p.

    Research output: Contribution to journalJournal articleResearchpeer-review

  39. Published
  40. Published

    Is network traffic approximated by stable Lévy motion or fractional Brownian Motion?

    Mikosch, Thomas Valentin, Resnick, S., Rootzén, H. & Stegeman, A., 2002, In: Annals of Applied Probability. 12, 1, p. 23-68

    Research output: Contribution to journalJournal articleResearchpeer-review

  41. Published

    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 paperResearch

  42. Published

    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. 1992-2035

    Research output: Contribution to journalJournal articleResearchpeer-review

  43. Published

    Large deviations for Minkowski sums of heavy-tailed generally non-convex random compact sets

    Mikosch, Thomas Valentin, Pawlas, Z. & Samorodnitsky, G., 2011, In: Vestnik St Petersburg University - Mathematics. 2011, 2, p. 70-78

    Research output: Contribution to journalJournal articleResearchpeer-review

  44. Published

    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. 2755-2790

    Research output: Contribution to journalJournal articleResearchpeer-review

  45. Published

    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. 68-101

    Research output: Contribution to journalJournal articleResearchpeer-review

  46. Published

    Large sample autocovariance matrices of linear processes with heavy tails

    Heiny, J. & Mikosch, Thomas Valentin, 2021, In: Stochastic Processes and Their Applications. 141, p. 344-375

    Research output: Contribution to journalJournal articleResearchpeer-review

  47. Published

    Levy Processes - Theory and Applications

    Mikosch, Thomas Valentin, Barndorff-Nielsen, O. & Resnick, S. E., 2001, Boston: Birkhauser Boston. 415 p.

    Research output: Book/ReportAnthologyResearchpeer-review

  48. Published

    Long range dependence effects and ARCH modeling

    Mikosch, Thomas Valentin & Starica, C., 2003, Theory and Applications of Long-Range Dependence. Boston: Birkhäuser Verlag, p. 439-460

    Research output: Chapter in Book/Report/Conference proceedingBook chapterResearch

  49. Published

    Mathematical models in finance

    Mikosch, Thomas Valentin & Embrechts, P., 2004, Encyclopedia of Life Support Systems (EOLSS): Developed under the Auspices of the UNESCO, EOLSS Publishers, Oxford, UK [www.eolss.net]. EOLSS Publishers, Oxford, UK, 16 p.

    Research output: Chapter in Book/Report/Conference proceedingEncyclopedia chapterResearch

  50. Published

    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. 2575-2602

    Research output: Contribution to journalJournal articleResearchpeer-review

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