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Publikationen

See my publications and citations at google scholar 

 

 Preprints

  1. Fadina, T., Schmidt, T. (2024) "The unfairness of epsilon-Fairness", submitted. arXiv.
  2. Robertson, J., Awad, N., Schmidt, T. Hutter, F. (2024) "Fairness Metric Impossibility: Investigating and Addressing Conflicts", Submitted.
  3. Marcin Pitera, Thorsten Schmidt, Łukasz Stettner (2023) "A novel scaling approach for unbiased adjustment of risk estimators", submitted. arXiv.
  4. Ormaniec, W., Pitera, M, Safarveisi, S. and Schmidt, T. (2022), "Estimating value at risk: LSTM vs. GARCH", submitted. arXiv. 

 Publications

      1. Ritter, M., Oberpriller, K. and Schmidt, T. (2024) "Robust asymptotic insurance-finance arbitrage", forthcoming in European Actuarial Journal . arXiv
      2. Geuchen, B, Oberpriller, K. and Schmidt, T. (2024) "Classical and deep pricing for path-dependent options in non-linear generalized affine models", Forthcoming in International Journal of Theoretical and Applied Finance. arXiv. 
      3. Niemann, L. and Schmidt, T. (2024), "A conditional version of the second fundamental theorem of asset pricing in discrete time", Frontiers of Mathematical Finance (Open access)
      4. Fontana, C., Grbac, Z. and Schmidt, T. (2023), "Term structure modeling with overnight rates beyond stochastic continuity", Mathematical Finance (Open access), SSRN arXiv
      5. Artzner, P. , Eisele, K.-T., and Schmidt, T. (2023) "Insurance-Finance Arbitrage", Mathematical Finance 34(3), 739-773 (Open access). SSRN, arXiv A video of a short presentation at the GPSD 2021, Mannheim is available on Youtube
      6. Criens, D, Pfaffelhuber, P. and Schmidt, T. (2023), "The martingale method revisited", Electronic Journal of Probability 2023, Vol. 28, paper no. 19, 1-46.  arXiv
      7. Schmidt, T., Vöneky, S. (2022), "Fostering the Common Good ", in "The Cambridge Handbook of Responsible Artificial Intelligence" Edited by S Voeneky, P Kellmeyer, O Mueller and W Burgard. Cambridge University Press. Open Acess.
      8. Schmidt, T., Vöneky, S. (2022), "Adaptive Regulierung von hochriskanter KI – Neue Wege zum Schutz von Rechten und Gemeinwohl", in "Gefährliche Forschung?", Hinsch, W., Brandtstädter, S. (eds.), pp. 89–110, available under doi.org/10.1515/9783110769975-008, SSRN
      9. Lütkebohmert, E., Schmidt, T., Sester, J. (2022), "Robust Deep Hedging", Quantitative Finance, arXiv, SSRN.
      10. Hackenberg, M., P. Harms, M. Pfaffenlehner, A. Pechmann, J. Kirschner, T. Schmidt, H. Binder (2022), "Deep dynamic modeling with just two time points: Can we still allow for individual trajectories?" Biometrical Journal. arXiv
      11. Lütkebohmert, E., Schmidt, T. and Zhu, T. (2022) "Optimal Cross-Currency Mortgage Decisions"  in International Journal of Theoretical and Applied Finance 25(3), 2250010.
      12. Pitera, M. and Schmidt, T. (2022) "Unbiased estimation and backtesting of risk under heavy tails" Insurance, Mathematics and Economics Volume 104, Pages 1-14 arXiv
      13. Eberlein E., Kabanov Y., Schmidt, T.. (2022), "Ruin Probabilities for a Sparre Andersen Model with Investments", Stochastic Processes and Applications 144, Pages 72-84
      14. Gümbel, S. and Schmidt, T. (2021), "Defaultable term structures driven by semimartingales", IJTAF 2150032, 27 pages. arXiv.
      15. Rein, C., Rüschendorf, L. and Schmidt, T. (2021), "Generalized statistical arbitrage concepts and related gain strategies", Mathematical Finance 31 (2), 563 - 594 (Open access). Working paper available on arXiv and SSRN.
      16. Ballotta, L., Eberlein, E., Schmidt, T. and Zeineddine, R. (2021) "Fourier based methods for the management of complex life insurance products", Insurance, Mathematics and Economics Volume 101, Part B, November 2021, Pages 320-341.
      17. Gümbel, S. and Schmidt, T. (2020), "Machine learning for multiple yield curve markets: fast calibration in the Gaussian affine framework", Risks 8(2). SSRN  arXiv
      18. Fontana, C., Grbac, Z., Gümbel, S., Schmidt, T. (2020), "Term structure modeling for multiple curves with stochastic discontinuities", Finance & Stochastics 24, 465–511. Available on arXiv.
      19. Bielecki, T., Cialenco, I., Pitera, M. and Schmidt, T. (2020), "Fair capital allocation", Statistics & Risk Modeling. 37, p. 1-24 Available on arXiv. 
      20. Schmidt, T., Tappe, S. and Yu, W. (2020), "Infinite dimensional affine processes", Stochastic Processes and Applications Volume 130, Issue 12, December 2020, Pages 7131-7169. Available on arXiv .
      21. Ballotta, L., Eberlein, E., Schmidt, T. and Zeineddine, R. (2020), "Variable annuities in a Lévy-based hybrid model with surrender risk", Quantitative Finance 20 (5), pp. 867-886. Available on SSRN and on arXiv.
      22. Agoitia Hurtado, M. and Schmidt. T. (2020), "Time-inhomogeneous polynomial processes", Stochastic Analysis and Applications 38, 527-564. Available on arXiv.
      23. Fadina, T. and Schmidt, T. (2019), "Default ambiguity", Risks  (2019), 7(2), 64
      24. Keller-Ressel, M. Schmidt, T. and Wardenga, R., "Affine processes beyond stochastic continuity" Annals of Applied Probability (2019) 29 (6), 3387-3437. Available on arXiv.
      25. Fadina, T., Neufeld, A. and Schmidt. T. (2019), "Affine processes under parameter uncertainty". Probability, Uncertainty and Quantitative Risk, 4:5. Available on arXiv.
      26. Fadina, T. and Schmidt, T. (2018), "Ambiguity in term structure models", working paper. Available on arXiv.

      27. Pitera, M. and T. Schmidt. "Unbiased estimation of risk", Journal of Banking and FinanceVolume 91, June 2018, Pages 133-145. Preprint vailable here, on SSRN and on arxiv:1603.02615

      28. Gehmlich, F. and T. Schmidt. "Dynamic defaultable term structure modelling beyond the intensity paradigm", Mathematical Finance 28 (1) 2018, 211-239. arXiv:1411.4851, and doi:10.1111/mafi.12138

      29. Fontana, C. and T. Schmidt. "General dynamic term structures under default risk", Stochastic Processes and their applications, Volume 128, Issue 10, October 2018, Pages 3353-3386 doi: 10.1016/j.spa.2017.11.003, arxiv:1603.03198

      30. Ferger, D., González Manteiga, W., Schmidt, T., Wang, J.-L (Eds): From "From Statistics to Mathematical Finance" the Festschrift in honor of Winfried Stute, Springer, 2017.

      31. T. Schmidt. "Shot-Noise Processes in Finance", 2017. in "From Statistics to Mathematical Finance" ,the Festschrift in honor of Winfried Stute, Springer.

      32. Gehmlich, F. and T. Schmidt. "A generalized intensity based framework for single-name credit risk", 2016, in: "Innovations in Derivatives Markets ‐ Fixed Income Modeling, Valuation Adjustments, Risk Management, and Regulation", edited by Zorana Grbac, Kathrin Glau, Matthias Scherer, and Rudi Zagst, Springer.

      33. I. Klein, T. Schmidt and J. Teichmann. "No Arbitrage Theory for Bond Markets". In: "Advanced Modelling in Mathematical Finance", in honour of Ernst Eberlein. J. Kallsen and A. Papapantoleon (Eds.) Springer. 

        Previous versions: "When roll-overs do not qualify as numeraire: bond markets beyond short rate paradigms",  arXiv:1310.0032 [q-fin.PR]

      34. T.Schmidt, 2015, "Comment pallier au manque d’information grâce au filtrage" -- " "Filtering " Cahiers de l'Institut Louis Bachelier. PDF

      35. T. Schmidt and S. Tappe. "Dynamic Term Structure Modelling with Default and Mortality Risk: New Results on Existence and Monotonicity", 2015, Banach Center Publications Vol 105, 211-238. arXiv:1306.6267[q-fin.PR]

      36. T. Schmidt. "Catastrophe Insurance Modelled with Shot-Noise Processes". pdf, Risks 2014 2,3-24.

      37. E. Eberlein, Z. Grabc and T. Schmidt. "Discrete tenor models for credit risky portfolios driven by time-inhomogeneous Levy processes.", 2013, SIAM Journal of Financial Mathematics 4 (1), 616-649. The paper and arXiv:1006.2012 [q-fin.PR]

      38. R. Frey, T. Schmidt and L. Xu, "On Galerkin Approximations for the Zakai Equation with Diffusive and Point Process Observations", 2013, SIAM Journal of Numerical Analysis 51 (4), pp. 2036-2062, (pdf) and an extended version on arXiv:1303.0975 [math.NA]

      39. R. Frey and T. Schmidt. "Pricing and Hedging of Credit Derivatives via the Innovations Approach to Nonlinear Filtering", 2012. Finance and Stochastics 16, 105-133. pdf

      40. M. Scherer, L. Schmidt and T. Schmidt, "Shot-Noise Driven Multivariate Default Models", 2012, European Actuarial Journal, in press. DOI: 10.1007/s13385-012-0059-z and pdf

      41. D. Filipovic, L. Overbeck and T. Schmidt. "Dynamic CDO Term Structure Modelling", 2011. Mathematical Finance 21, 53-71. pdf

      42. C. Czado and T. Schmidt. "Mathematische Statistik". 2011. Springer , 217 pages. Amazon Es gibt einige Probeseiten.

      43. O. Hartmann, P. Schuetz, W. Albrich, S. Anker, B. Müller and T. Schmidt. "Time-dependent Cox regression: Serial measurement of cardiovascular biomarker proadrenomedullin improves survival prediction in patients with lower respiratory tract infection", 2012. International Journal of Cardiology.

      44. F. Gehmlich, Z. Grabc and T. Schmidt. "Pricing and Calibration in Market Models." Credit Securitisations and Derivatives, H. Scheule and D. Rösch (Eds), Wiley 2012. pdf

      45. A. Herbertsson, J. Jang and T. Schmidt. "Pricing basket default swaps in a tractable shot-noise model", 2011. Statistics and Probability letters 81, 1196-1207. (link). pdf

      46. T. Schmidt and J. Zabczyk. "CDO term structure modelling with Levy processes and the relation to market models", 2012. International Journal of Theoretical and Applied Finance 15. pdf DOI No: 10.1142/S0219024911006462 

      47. R. Frey and T. Schmidt. "Filtering and Incomplete Information", in: "Credit Risk Frontiers", 2011, Wiley, T. Bielecki et al (Eds). pdf

      48. D. Filipovic and T. Schmidt. "Pricing and Hedging of CDOs: A Top-Down Approach", 2010.in: " Contemporary Quantitative Finance", Chiarella, C. and Novikov, A. (Eds.) Springer, p. 231-254 pdf

      49. D. Filipovic, L. Overbeck and T. Schmidt. "Doubly Stochastic CDO Term Structures", 2008. Forthcoming in Proceedings of the Ascona Meeting, Dalang, Robert C.; Dozzi, Marco; Russo, Francesco (Eds.) pdf

      50. R. Gaspar and T. Schmidt. "CDOs in the light of the Current Crisis", 2010.in: "Financial Risks: New Developments in Structured Product & Credit Derivatives", M. Jeanblanc and C. Gourieroux (Eds), Economica. pdf

      51. R. Frey and T. Schmidt. "Pricing Corporate Securities under Noisy Asset Information", 2009. Mathematical Finance 19 No. 3, p. 403-421. pdf

      52. T. Schmidt. "Correlation and correlation risk", 2020. in Encyclopedia of Quantitative Finance, R. Cont (Ed.) pdf

      53. T. Schmidt. "Copulas and dependent measurement ", 2010. in Encyclopedia of Quantitative Finance, R. Cont (Ed.) pdf

      54. R. Gaspar and T. Schmidt. "On the Pricing of Collateralized Debt Obligations", 2008. In "The Credit Derivatives Handbook", G.N. Gregoriou and P. Ali (Eds), McGraw-Hill

      55. T. Schmidt. "Modelling Energy Markets with Extreme Spikes", 2008. In "Mathematical Control Theory and Finance" Grossinho, R.; Guerra, M.; Sarychev, A. Shiryaev, A (Eds.), Springer. pdf

      56. T.Schmidt. "Hybrid Calibration Procedures for Term Structure Models", 2008. In "New Frontiers in Risk Management", D. Olson and D. Wu (Eds.), Springer

      57. T. Schmidt and A. Novikov. "A Structural Model with Random Default Boundary", 2008. Applied Mathematical Finance 15, No. 2, p. 183- 203. pdf

      58. K. Giesecke, T. Schmidt and S. Weber "Measuring the risk of large losses", Journal of Investment and Management 6 (4) p. 1-15, 2008. pdf

      59. T. Schmidt and L. Xu. "Some limit results on the Haar-Fisz transform for inhomogeneous Poisson signals", 2008. Journal for Analysis and its Applications 27 No. 4, 475-489. pdf

      60. T. Altmann, T. Schmidt and W. Stute. "A Shot Noise Model for Financial Assets ", 2008. International Journal of Theoretical and Applied Finance, Vol 11, No. 1, p. 87-106 pdf

      61. T. Schmidt, S. Teis and E. Reiche. "Der Zusammenhang von EUA- und Strompreis -- eine klare Sache?", 2007. Zeitschrift f. Energiewirtschaft 31 (2), p. 155-160

      62. T. Schmidt. "Hybrid Calibration for Defaultable Term Structures with Gaussian Random Fields". ICMI 2007, Shanghai. p. 371-376

      63. T. Schmidt and W. Stute. "Shot-Noise Processes and the Minimal Martingale Measure", 2007. Statistics & Probability Letters. pdf doi:10.1016/j.spl.2007.03.019

      64. T. Schmidt. "Coping with Copulas". Risk Books, J. Rank (Ed.), Risk Books, 2007. pdf (working paper)

      65. T. Schmidt. "An Infinite Factor Model for Credit Risk", 2006. International Journal of Theoretical and Applied Finance Vol 9, No.1, p. 43-68 pdf (working paper) .

      66. F. Özkan and T. Schmidt. "Credit Risk with Infinite Dimensional Levy Processes", 2005. Statistics and Decisions Vol 23, p. 281-299 pdf (Oldenbourg Wissenschaftsverlag, Munich/Germany http://statistics-international.de)

      67. S. Weber and T. Schmidt. "Alternativen zu Value at Risk". Zeitschrift für die gesamte Versicherungswissenschaft 4, 2005.

      68. T. Schmidt and W. Stute. "Credit Risk -- A Survey", Contemporary Mathematics 2004, Volume 336, p. 75-115. pdf

      69. T. Schmidt. "Credit Risk Modeling with Random Fields", 2003. Dissertation, University of Giessen.pdf

      70. E. Lücker, K. Failing and T. Schmidt. "Determination of analytical limits in solid sampling ETAAS: a new approach towards the characterization of analytical quality in rapid methods", Fresenius J Anal Chem 2000 (366):137-141.

      71. T. Schmidt. "Momentenschätzung in M-ARCH Modellen", 1998. Diplomarbeit, University of Giessen.