Peter Gänßler

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Peter Gänßler , also quoted by Gänssler, (born January 9, 1937 in Öhringen ; † June 17, 2015 ) was a German mathematician who dealt with mathematical stochastics and measure theory .

Gänßler graduated from high school in Schwäbisch Hall in 1956 and then studied mathematics, physics and chemistry at the University of Heidelberg (and a year in Munich) with a diploma in mathematics in 1962. He then worked as an assistant to Klaus Krickeberg and Gottfried Köthe . He received his doctorate in Heidelberg in 1966 with Klaus Krickeberg ( equivalence and singularity of tight probability distributions in the area of ​​Schwartz distributions ) and completed his habilitation in Cologne in 1971, where he was with Johann Pfanzagl . The habilitation was about compactness criteria in space signed dimensions. From 1972 he was a full professor in Bochum (after he was previously a professor there) and from 1978 professor for mathematical stochastics at the Ludwig Maximilians University in Munich . In 2002 he retired.

Among other things, he was abroad in Berkeley, Copenhagen, Princeton, Patras and Seattle. In 1984 he became a Fellow of the Institute of Mathematical Statistics and in 1977 a member of the International Statistical Institute .

He dealt with empirical processes and nonparametric statistics with applications in estimation theory (nonparametric curve estimators, including estimators for densities and regression functions, M-estimators and nonparametric maximum likelihood estimators), goodness of fit tests, minimum distance tests, empirical measures in general sample spaces (quantity and function-indexed empirical processes, Vapnik-Chervonenkis theory with applications in cluster analysis and in the context of the bootstrap method), partial sum processes with random locations in general sample spaces, random measure processes, differentiation calculus for statistical functionals and the functional delta method (von Mises method).

Winfried Stute (* 1946, professor in Giessen) was one of his doctoral students .

His hobbies included opera and painting.

Fonts

  • with Winfried Stute: Probability Theory , Springer 1977

Web links

Individual evidence

  1. Mathe-LMU.de, No. 32, January 2016, p. 6  ( page no longer available , search in web archivesInfo: The link was automatically marked as defective. Please check the link according to the instructions and then remove this notice. (PDF)@1@ 2Template: Toter Link / caratheodory-gesellschaft-lmu.de