Limit laws for UGROW random graphs

Anthony G. Pakes

Statistics & Probability Letters, 2013, vol. 83, issue 12, 2607-2614

Abstract: 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.

Keywords: Infinite divisibility; Length biased and weighted laws; Random forests; Special functions (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (1)

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DOI: 10.1016/j.spl.2013.08.008

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