Symmetric fixed points of a smoothing transformation

DOI10.1239/aap/1051201653zbMath1036.60014OpenAlexW2084423959MaRDI QIDQ4449503

Amke Caliebe

Publication date: 11 February 2004

Published in: Advances in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1239/aap/1051201653

zbMATH Keywords

infinitely divisible distributiontriangular schemestable distributionstochastic fixed point equation

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Central limit and other weak theorems (60F05) Characteristic functions; other transforms (60E10) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (8)

Solutions to complex smoothing equations ⋮ The fixed points of the multivariate smoothing transform ⋮ Fixed points of the smoothing transform: two-sided solutions ⋮ A weakly 1-stable distribution for the number of random records and cuttings in split trees ⋮ Fixed points of smoothing transformation in random environment ⋮ Elementary fixed points of the BRW smoothing transforms with infinite number of summands ⋮ Fixed points with finite variance of a smoothing transformation. ⋮ The Smoothing Transform: A Review of Contraction Results

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