Limit laws for UGROW random graphs

Representations are found for a limit law L(Z(k,p)) obtained from an expanding sequence of random forests containing n nodes with p∈(0,1] a probability controlling bond formation. One implies that Z(k,p) is stochastically decreasing as k increases and that norming gives an exponential limit law. Limit theorems are given for the order of component trees. The proofs exploit properties of the gamma function.

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Year of publication:	2013
Authors:	Pakes, Anthony G.
Published in:	Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 83.2013, 12, p. 2607-2614
Publisher:	Elsevier
Subject:	Infinite divisibility \| Length biased and weighted laws \| Random forests \| Special functions

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

Persistent link: https://www.econbiz.de/10011039797