Forschungsschwerpunkte 2001 - 2002
Fachbereich 10 - Mathematik und Informatik Institut für Mathematische Statistik Arbeitsbereich Prof. Dr. D. Plachky
Maßtheoretisch und entscheidungstheoretisch orientierte Statistik
Beteiligte Wissenschaftler: Prof. Dr. D. Plachky, Dipl.-Math. C. Pumplün, Dipl.-Math. J. Roters Veröffentlichungen: Plachky, D.: Sufficiency and completeness for classes of probability distributions generated by a single probability distribution. Angewandte Mathematik und Informatik 5/01, Univ. Münster und Abhandlung aus dem Mathematischen Seminar der Universität Hamburg 71 (2001), 305 - 308 Plachky, D.: An operator-theoretic approach to classical inequalities and conditional expectations. Angewandte Mathematik und Informatik 6/01, Univ. Münster Meyer, M., D. Plachky: Remarks on purely finite additive measures. Angewandte Mathematik und Informatik 7/01, Univ. Münster Plachky, D.: An ideal theoretic characterization of finite sets, finite algebras, and sigma-algebras of countably generated type. Math. Slovaca 61 (2001), 301 - 311 Plachky, D.: An extension-theoretic characterization of countable additivity. Angewandte Mathematik und Informatik 8/01, Univ. Münster Plachky, D.: Conservation of optimality robustness for direct products of statistical experiments. Angewandte Mathematik und Informatik 10/01, Univ. Münster Plachky, D.: Mathematische Grundbegriffe und Grundsätze der Stochastik. Springer, 2001 Plachky, D.: A measure-theoretic characterization of the UMVU property of likelihood quotients. Angewandte Mathematik und Informatik 12/01, Univ. Münster Plachky, D.: Characterization of the UMVU property of likelihood quotients by completeness, denseness, measurability, and sufficiency. Angewandte Mathematik und Informatik 17/01, Univ. Münster Plachky, D.: Note on amenability and quasiinvariance. Angewandte Mathematik und Informatik 11/01, Univ. Münster Plachky, D., J. Roters: Relations between optimality robustness and sufficiency. Angewandte Mathematik und Informatik 18/01, Univ. Münster Plachky, D.: Note on Hamel's non-measurable solution of Cauchy's functional equation. Angewandte Mathematik und Informatik 16/01, Univ. Münster Plachky, D.: A variant of the inclusion/exclusion principle. Angewandte Mathematik und Informatik 3/02, Univ. Münster Plachky, D.: On the existence of countably generated minimal sufficient respectively sufficient and complete sub-sigma-algebras. Angewandte Mathematik und Informatik 2/02, Univ. Münster Plachky, D.: An estimation theoretic characterization of completeness for exponential families based on the approximation theorem of Weierstraß. Angewandte Mathematik und Informatik 4/02, Univ. Münster Plachky, D.: An estimation theoretic characterization of completeness of the order statistics based on symmetric polynomials. Angewandte Mathematik und Informatik 7/02, Univ. Münster Plachky, D.: From optimality robustness to sufficiency and completeness. Statistics 36 (2002), 139 - 146 Plachky, D.: A useful counterexample in probability and statistics. Angewandte Mathematik und Informatik 10/02, Univ. Münster Plachky, D., C. Pumplün: Measurability of Riesz type decompositions for measures. Angewandte Mathematik und Informatik 17/02, Univ. Münster Plachky, D.: Lectures on selected topics of probability and statistics, part 1: Probabilistic topics. Angewandte Mathematik und Informatik 18/02, Univ. Münster Plachky, D.: Lectures on selected topics of probability and statistics, part 2: Statistical topics. Angewandte Mathematik und Informatik 19/02, Univ. Münster
Beteiligte Wissenschaftler:
Veröffentlichungen:
Plachky, D.: An operator-theoretic approach to classical inequalities and conditional expectations. Angewandte Mathematik und Informatik 6/01, Univ. Münster
Meyer, M., D. Plachky: Remarks on purely finite additive measures. Angewandte Mathematik und Informatik 7/01, Univ. Münster
Plachky, D.: An ideal theoretic characterization of finite sets, finite algebras, and sigma-algebras of countably generated type. Math. Slovaca 61 (2001), 301 - 311
Plachky, D.: An extension-theoretic characterization of countable additivity. Angewandte Mathematik und Informatik 8/01, Univ. Münster
Plachky, D.: Conservation of optimality robustness for direct products of statistical experiments. Angewandte Mathematik und Informatik 10/01, Univ. Münster
Plachky, D.: Mathematische Grundbegriffe und Grundsätze der Stochastik. Springer, 2001
Plachky, D.: A measure-theoretic characterization of the UMVU property of likelihood quotients. Angewandte Mathematik und Informatik 12/01, Univ. Münster
Plachky, D.: Characterization of the UMVU property of likelihood quotients by completeness, denseness, measurability, and sufficiency. Angewandte Mathematik und Informatik 17/01, Univ. Münster
Plachky, D.: Note on amenability and quasiinvariance. Angewandte Mathematik und Informatik 11/01, Univ. Münster
Plachky, D., J. Roters: Relations between optimality robustness and sufficiency. Angewandte Mathematik und Informatik 18/01, Univ. Münster
Plachky, D.: Note on Hamel's non-measurable solution of Cauchy's functional equation. Angewandte Mathematik und Informatik 16/01, Univ. Münster
Plachky, D.: A variant of the inclusion/exclusion principle. Angewandte Mathematik und Informatik 3/02, Univ. Münster
Plachky, D.: On the existence of countably generated minimal sufficient respectively sufficient and complete sub-sigma-algebras. Angewandte Mathematik und Informatik 2/02, Univ. Münster
Plachky, D.: An estimation theoretic characterization of completeness for exponential families based on the approximation theorem of Weierstraß. Angewandte Mathematik und Informatik 4/02, Univ. Münster
Plachky, D.: An estimation theoretic characterization of completeness of the order statistics based on symmetric polynomials. Angewandte Mathematik und Informatik 7/02, Univ. Münster
Plachky, D.: From optimality robustness to sufficiency and completeness. Statistics 36 (2002), 139 - 146
Plachky, D.: A useful counterexample in probability and statistics. Angewandte Mathematik und Informatik 10/02, Univ. Münster
Plachky, D., C. Pumplün: Measurability of Riesz type decompositions for measures. Angewandte Mathematik und Informatik 17/02, Univ. Münster
Plachky, D.: Lectures on selected topics of probability and statistics, part 1: Probabilistic topics. Angewandte Mathematik und Informatik 18/02, Univ. Münster
Plachky, D.: Lectures on selected topics of probability and statistics, part 2: Statistical topics. Angewandte Mathematik und Informatik 19/02, Univ. Münster