A fixed point theorem for distributions

We study in a systematic form the contractive behavior of the map S of distributions to distributions , Xi are independent r.v., L(Xi) = F. Further we show higher and exponential moments of the fixed point. Applications of this structure are given for (a) weighted branching processes, (b) the Hausdorff dimension of random Cantor sets and (c) the sorting algorithm Quicksort.

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Year of publication:	1992
Authors:	Rösler, Uwe
Published in:	Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 42.1992, 2, p. 195-214
Publisher:	Elsevier

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

Persistent link: https://www.econbiz.de/10008875327