Solution to a functional equation and its application to stable and stable-type distributions

The main result of the paper completely characterizes all continuous complex-valued functions [phi](t) with domain or satisfying[phi](t)=([phi](a1t))[gamma]1=([phi](a2t))[gamma]2,where a1[not equal to]1, a2[not equal to]1, [gamma]1,[gamma]2 are positive numbers with irrational log a1/log a2.

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Year of publication:	2004
Authors:	Hamedani, G. G. ; S. Key, Eric ; Volkmer, Hans
Published in:	Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 69.2004, 1, p. 1-9
Publisher:	Elsevier
Subject:	Characterization Stable distributions Sub-independence

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005074624