A functional equation and its application to the characterization of gamma distributions

DOI10.1007/s00010-010-0008-3zbMath1210.39024OpenAlexW2073321608MaRDI QIDQ623387

Fruzsina Mészáros

Publication date: 14 February 2011

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2437/104638

zbMATH Keywords

functional equationgamma distributionscharacterizations of probability distributionsmeasurable solution a.e.

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Functional equations for real functions (39B22) Characterization and structure theory of statistical distributions (62E10)

Related Items (5)

Generalized Pexider difference equations ⋮ The Lukacs-Olkin-Rubin theorem on symmetric cones without invariance of the ``quotient ⋮ Identification of power distribution mixtures through regression of exponentials ⋮ Multiplicative type functional equations arising from characterization problems ⋮ A Matsumoto-Yor characterization for Kummer and Wishart random matrices

Cites Work

• Remark to a paper by J. A. Baker
• On the functional equation f(x)g(y) = p(s+y)q(x/y)
• A Characterization of the Gamma Distribution
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