Jürgen Lehn

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Jürgen Lehn (TU-Darmstadt, 1993)
Jürgen Lehn 2004

Jürgen Lehn (born April 28, 1941 in Karlsruhe , † September 29, 2008 in Darmstadt ) was a German mathematician who mainly dealt with mathematical stochastics .

Live and act

From 1961 to 1968 Lehn studied at the Universities of Freiburg and Karlsruhe (TH), where he obtained a diploma in mathematics. He then moved to the University of Regensburg ; There he received his doctorate in 1972 with the dissertation supervised by Dietrich Bierlein "On the theory of alternative tests in compound hypotheses". In 1978 he completed his habilitation at the University of Karlsruhe with a thesis entitled “Mass continuations and Aumann's selection theorem”. In the same year he was appointed to a professorship (C3) at the Philipps University of Marburg . In 1980 he accepted a call for a C4 professorship at the TU Darmstadt .

The main focus of Lehn's scientific work was dimension continuation problems, gamma-minimax estimators, algorithms for generating random numbers and the application of statistical methods in engineering and natural sciences.

Fonts

Books

  • with Helmut Wegmann: Introduction to Stochastics , Göttingen: Vandenhoeck & Ruprecht, 1984
  • with Helmut Wegmann: Introduction to Statistics , Stuttgart: Teubner, 1985, 5th edition 2006
  • with Helmut Wegmann, Stefan Rettig: Collection of exercises for an introduction to statistics , Stuttgart: Teubner, 1988, 3rd edition 2001
  • with Thomas Müller-Gronbach, Stefan Rettig: Introduction to descriptive statistics , Stuttgart: Teubner, 2000
  • with Karl Graf Finck von Finckenstein, Helmut Schellhaas, Helmut Wegmann: Arbeitsbuch Mathematik für Ingenieure , Stuttgart: Teubner, Volume I 2000, 5th edition 2007; Volume II 2002, 3rd edition 2006

Selected items

  • Measure continuations and Aumann's selection theorem. Z. Probability Theory. Verw. Geb. 35, 265-268 (1976).
  • The area of ​​error with composite alternatives. Stud. Sci. Math. Hung. 11: 75-78 (1976).
  • Remark on measurable graph theorems. Proc. At the. Math. Soc. 63: 46-48 (1977).
  • with Gerhard Mägerl: On the uniqueness of pre-image measures. Z. Probability Theory. Verw. Geb. 38, 333-337 (1977).
  • Premeasurable functions. Manuscr. Math. 20: 141-152 (1977).
  • with Albert Ascherl: Two principles for extending probability measures. Manuscr. Math. 21: 43-50 (1977).
  • with Jürgen Eichenauer: A remark on determining the period length in a generalized Fibonacci generator. Elem. Math. 39: 81-84 (1984).
  • with Jürgen Eichenauer: A non-linear congruential pseudo random number generator. Stat. Issues 27, 315-326 (1986).
  • with Jürgen Eichenauer: On the structure of quadratic congruential sequences. Manuscr. Math. 58: 129-140 (1987).
  • with Jürgen Eichenauer, Holger Grothe and Alev Topuzolu: A multiple recursive nonlinear congruential pseudo random number generator. Manuscr. Math. 59: 331-346 (1987).
  • with Friedrich Rummel: Gamma-minimax estimation of a binomial probability under squared error loss. Stat. Decis. 5, Nos. 1-4, 229-249 (1987).
  • with Jürgen Eichenauer and Stefan Rettig: A gamma-minimax result in credibility theory. Insur. Math. Econ. 7, No.1, 49-57 (1988).
  • with Jürgen Eichenauer and Holger Grothe: Marsaglia's lattice test and non-linear congruential pseudo-random number generators. Metrika 35, Nos. 3-4, 241-250 (1988).
  • with Jürgen Eichenauer and P. Kirschgarth: Gamma-minimax estimators for a bounded normal mean. Stat. Decis. 6, No.4, 343-348 (1988)
  • with Jürgen Eichenauer and Alev Topizolu: A nonlinear congruential pseudorandom number generator with power of two modulus. Math. Comput. 51, No. 184, 757-759 (1988).
  • with Jürgen Eichenauer: Randomized minimax estimators under simple random sampling from a finite population. Elem. Math. 43, No.6, 170-177 (1988).
  • with Jürgen Eichenauer-Herrmann and Holger Grothe: On the period length of pseudorandom vector sequences generated by Matrix generators. Math. Comput. 52, No. 185, 145-148 (1989).
  • with Jürgen Eichenauer-Herrmann: Minimax estimators for the location parameter of a noncentral exponential distribution when the parameter space is bounded. J. Comput. Appl. Math. 26, No.3, 333-337 (1989).
  • with Jürgen Eichenauer: Computation of gamma-minimax estimators for a bounded normal mean under squared error loss. Stat. Decis. 7, No. 1-2, 37-62 (1989).
  • with Lanxiang Chen and Jürgen Eichenauer-Herrmann: Gamma-Minimax estimators for the parameters of a multinomial distribution. Zastosow, Mat. 20, No. 4, 561-564 (1990).
  • with Jürgen Eichenauer-Herrmann and W. Gohout: Minimax estimation of a binomial probability under weighted absolute error loss. Stat. Decis. 8, No.1, 37-45 (1990).
  • with Lanxiang Chen and Jürgen Eichenauer-Herrmann: Gamma-Minimax estimation of a multivariate normal mean. Metrika 37, No.1, 1-6 (1990).
  • with Lanxiang Chen: Gamma-minimax estimators for the mean of a multivariate normal distribution with partially unknown covariance matrix. Acta Math. Appl. Sin., Engl. Ser. 11, No.1, 11-16 (1995).
  • with T. Seibert, S. Schwan and FG Kollmann: Identification of material parameters for inelastic constitutive models: Stochastic simulations for the analysis of deviations. Contin. Mech. Thermodyn. 12, No.2, 95-120 (2000).
  • with A. Rößler and O. Schein: Adaptive schemes for the numerical solution of SDEs - a comparison. J. Comput. Appl. Math. 138, No.2, 297-308 (2002)
  • with T. Harth S. Schwan and FG Kollmann: Identification of material parameters for inelastic constitutive models: statistical analysis and design of experiments. Int. J. Plast. 20, No. 8-9, 1403-1440 (2004).
  • with Dominique Küpper and Andreas Rößler: A step size control algorithm for the weak approximation of stochastic differential equations. Number Algorithms 44, No. 4: 335-346 (2007).
  • with Tobias Harth: Identification of material parameters for inelastic constitutive models using stochastic methods. GAMM-Mitt. 30, No. 2, 409-429 (2007).

literature

Web links

personal data
SURNAME Lehn, Jürgen
BRIEF DESCRIPTION German mathematician
DATE OF BIRTH April 28, 1941
PLACE OF BIRTH Karlsruhe
DATE OF DEATH September 29, 2008
Place of death Darmstadt