Prof. Dr. Lutz Mattner FB 4 - Mathematik Universität Trier 54286 Trier, Deutschland Mathematische Stochastik Raum : E 203 Telefon: (0651) 201-3506 Telefax: (0651) 201-4182 e-mail : mattner@uni-trier.de

Lehre:

• "Mathematische Statistik III" (4V+2Ü)
  (hier sind die Wiegungsdaten zu Example 1.1.1 und die Blutdaten zu Exercise 1.3.3 des Skriptes)


• Masterseminar "Mathematische Statistik"

Research:

Mathematical papers (with one or two links to be fixed):

32. (with Todor Dinev) The asymptotic Berry-Esseen constant for intervals.
      Teoriya Veroyatnostei i ee Primeneniya (to appear). [arXiv preprint].
31. Combining individually valid and conditionally i.i.d. P-variables.
      [arXiv preprint].
30. (with Frauke Mattner) Confidence bounds for the sensitivity lack of a less specific diagnostic test, without gold standard.
      Metrika , 25 pages (online 2012) . [arXiv preprint].
29. (with Uwe Rösler) Optimal L$^1$-bounds for submartingales.
      Proceedings of the American Mathematical Society 139 735-746 (print 2011, online 2010). [arXiv preprint].
28. (with Achim Klenke) Stochastic ordering of classical discrete distributions.
      Advances in Applied Probability 42, 392-410 (print & online 2010). [arXiv preprint].
      Inequality (1.11) of the published version, which is (1.13) in the preprint, should be reversed.
27. Sums of norm spheres are norm shells and lower triangle inequalities are sharp.
      Mathematische Semesterberichte 57, 11-16 (print 2010, online 2009). [arXiv preprint].
26. One optional observation inflates $\alpha$ by $100/\sqrt{n}$ per cent.
      Metrika 73, 43-59 (print 2011, online 2009) . [arXiv preprint].
25. (with Bero Roos) Maximal probabilities of convolution powers of discrete uniform distributions.
      Statistics and Probability Letters 78, no. 17, 2992-2996 (print & online 2008). [arXiv preprint].
24. Lower bounds for tails of sums of independent symmetric random variables.
      Theory of Probability and Its Applications 53, No. 2, 334-339,
      Teoriya Veroyatnostei i ee Primeneniya 53, No. 2, 397-403 (2008). [arXiv preprint].
23. (with Christian Hipp) On the normal approximation to symmetric binomial distributions.
      Theory of Probability and Its Applications 52, No. 3, 516-523,
      Teoriya Veroyatnostei i ee Primeneniya 52, No. 3, 610-617 (2007). [A preprint version (pdf)]
22. (with Bero Roos ) A shorter proof of Kanter's Bessel function concentration bound.
      Probability Theory and Related Fields 139, 191-205 (print 2007, online 2006). [arXiv preprint].
21. Cumulants are universal homomorphisms into Hausdorff groups.
      Probability Theory and Related Fields 130, 151-166 (print & online 2004). Pdf-file as published A preprint version: [pdf-file]
20. Mean absolute deviations of sample means and minimally concentrated binomials.
      Annals of Probability 31, 914-925 (2003).
      [Pdf-file as published, with expectation sign missing in first displayed formula on page 917]
19. Minimal sufficient order statistics in convex models.
      Proceedings of the American Mathematical Society 129, 3401-3411 (2001). [Article freely available]
      A preprint version: [pdf-file], [dvi-file] .
18. Complex Differentiation under the integral.
      Nieuw Archief voor Wiskunde 5/2, 32-35 (2001). [Article freely available as pdf-file]
17. Minimal sufficient statistics in location-scale parameter models.
      Bernoulli 6, 1121-1134 (2000). A preprint version (ps-file).
16. Product measurability, parameter integrals, and a Fubini counterexample.
      L'Enseignement Mathématique 45, 271-279 (1999). A preprint version: [ps-file].
15. Sufficiency, exponential families, and algebraically independent numbers.
      Mathematical Methods of Statistics 8, 397-406 (1999). A preprint version (ps-file).
14. What are cumulants?
      Documenta Mathematica 4, 601-622 (1999). [Article freely available as dvi or ps-file] [pdf-file]
13. On Burdick's symmetry problem.
      Mathematical Methods of Statistics 8, 109-118 (1999). A preprint version (ps-file).
12. Remarkable asymmetric random walks.
      Proceedings of the American Mathematical Society 127, 1847-1854 (1999). [Article freely available.] A preprint version (ps-file).
11. Strict definiteness of integrals via complete monotonicity of derivatives.
      Transactions of the American Mathematical Society 349, 3321-3342 (1997). [Article freely available]
10. Optimal unbiased means, polynomial moment relations, and natural exponential families.
      Statistics and Decisions 14, 343-352 (1996). A preprint version (ps-file).
  9. Complete order statistics in parametric models.
      Annals of Statistics 24, 1265-1282 (1996). Pdf-file as published
  8. (with Martin Reinders) Optimal unbiased estimators in additive models with bounded errors are deterministic.
      Theory of Probability and Its Applications 40, 772-777,
      Teoriya Veroyatnostei i ee Primeneniya 40, 934-938 (1995). Pdf-file as published
  7. Mean unbiased medians, median unbiased means, and symmetric random walks.
      Mathematical Methods of Statistics 4, 99-105 (1995) and 6, 517 (1997).
  6. Some incomplete but boundedly complete location families.
      Annals of Statistics 21, 2158-2162 (1993).
  5. (with Udo Kamps) An identity for expectations of functions of order statistics.
      Metrika 40, 361-365 (1993).
  4. Bernstein's theorem, inversion formula of Post and Widder, and the uniqueness theorem for Laplace transforms.
      Expositiones Mathematicae 11, 137-140 (1993).
  3. Extremal problems for probability distributions: a general method and some examples.
      In: Stochastic Inequalities , M. Shaked and Y.L. Tong, eds., Proceedings of the Joint AMS-IMS-SIAM Summer Research Conference on Stochastic Inequalities, Seattle, Washington, July 1991. IMS Lecture Notes-Monograph Series Vol. 22, pp. 274-283 (1992).
  2. Completeness of location families, translated moments, and uniqueness of charges.
      Probability Theory and Related Fields 92, 137-149 (1992).
  1. Covariance bounds for unimodal distributions and a characterization of uniformity.
      Journal of Multivariate Analysis 38, 204-212 (1991).

Applied papers:

A10. Frauke Mattner, Ingo Winterfeld, Lutz Mattner:
       Diagnosing toxigenic C. difficile: new confidence bounds show culturing increases sensitivity of toxin A/B EIA, and refute gold standards.
       Scandinavian Journal of Infectious Diseases, 8 pages (online 2012). [Preprint version from Oct 2011], [a version online here since Oct 2010, with a different title].
A9. C. Astaras, S. Krause, L. Mattner, C. Rehse, M. Waltert:
       Associations between the drill (Mandrillus leucophaeus) and sympatric primates in Korup National Park, Cameroon.
       American Journal of Primatology 73(2), 127-134 (print 2011, online 2010).
A8. F. Mattner, I. Winterfeld, L. Mattner:
       Sensitivitätsgewinn beim Testen auf toxigene Clostridium difficile durch drei kommerzielle Kulturmedien.
       Der Mikrobiologe 19(5), 171-176 (2009). [pdf-file].
A7. S. Krause, L. Mattner, R. James, T. Guttridge, M.J. Corcoran, S.H. Gruber, J. Krause:
       Social network analysis and valid Markov chain Monte Carlo tests of null models.
       Behavioral Ecology and Sociobiology 63, 1089-1096 (print & online 2009). A preprint version: [pdf-file].
A6. Mattner F, Bitz F, Goedecke M, Viertel A, Kuhn S, Mattner L, Biertz F, Heim A, Henke-Gendo C, Engelmann I, Martens A, Strueber M:
       Adverse effects of rabies pre- and postexposure prophylaxis in 290 health-care-workers exposed to a rabies infected organ donor or transplant reciepients.
       Infection 35, 219-224 (print & online 2007).
A5. F. Mattner, I.F. Chaberny, L. Mattner, P. Gastmeier, R. Teßmann, und M. Strüber:
       Infektionsprävention und -Surveillance bei Kunstherzpatienten.
       Der Anaesthesist 56, 429-436 (print & online 2007).
A4. Frauke Mattner, Anna S. Rüden, Lutz Mattner, Iris F. Chaberny, Stefan Ziesing, Martin Strueber und Petra Gastmeier:
       Thoracic organ transplantation may not increase the risk of bacterial transmission in intensive care units.[pdf-file]
       International Journal of Hygiene and Environmental Health 210 (2), 139-145 (print 2007, online 2006).
A3. Frauke Mattner, Iris F.Chaberny, H. Weißbrodt, S. Fischer, P. Gastmeier, B. Haubitz, J. Gottlieb, L. Mattner und Martin Strueber:
       Surveillance invasiver Fadenpilzmykosen in lungentransplantierten Patienten: Effekt antimikotischer Prophylaxe mit Itraconazol und Voriconazol.
       Mycoses 48 (Suppl. 1), 51-55 (2005). [pdf-file]
A2. Frauke Mattner, Lutz Mattner, Hans Ulrich Borck and Petra Gastmeier:
       Evaluation of the impact of the source (patient versus staff) on nosocomial norovirus outbreak severity.
       Infection Control and Hospital Epidemiology 26 (3) 268-272 (2005). [pdf-file]
       [Based on a preprint titled "Nosocomial norovirus outbreak severities depend on the index case: patient or staff".]
A1. Frauke Mattner, Lutz Mattner and Iris Chaberny:
       No evidence for effectiveness of ClO2-generating gloves.
       Clinical Infectious Diseases 39 (6), 874 (2004). [pdf-file]

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Mail an den Betreuer (public key)	Fachbereich IV - Mathematik Universität Trier, 54286 Trier
Letzte Änderung: 31.07.12