Memoryless distributions revisited

Schmidt, Klaus D. ; Waldschaks, Gerd

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URN: urn:nbn:de:bsz:180-madoc-16725
Document Type: Working paper
Year of publication: 1991
The title of a journal, publication series: None
Publication language: English
Institution: School of Business Informatics and Mathematics > Sonstige - Fakultät für Wirtschaftsinformatik und Wirtschaftsmathematik
MADOC publication series: Veröffentlichungen der Fakultät für Mathematik und Informatik > Institut für Mathematik > Mannheimer Manuskripte
Subject: 510 Mathematics
Subject headings (SWD): Distribution <Funktionalanalysis> , Dirac-Gleichung
Abstract: The present paper discusses the memoryless property of distributions on the real line. The main result asserts that every distribution Q which is memoryless on a set containing 0 must be concentrated on {0} or (0,∞). It is then shown that this condition is necessary and sufficient for Q to be either the Dirac distribution in 0 or an exponential distribution. Corresponding results for the geometric distribution are given as well.
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Das Dokument wird vom Publikationsserver der Universitätsbibliothek Mannheim bereitgestellt.

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