Bin sizes in time-inhomogeneous infinite Polya processes

Dudley Stark

Statistics & Probability Letters, 2016, vol. 113, issue C, 49-53

Abstract: At the nth step of a time-inhomogeneous infinite Polya process, either a new bin is created and a ball is put in that bin, or a ball is put into an existing bin, in which case the bin is chosen according to a preferential attachment type rule. We introduce a new class of such processes and find the asymptotics of the expected number of bins of size k, for k fixed, as n→∞.

Keywords: Polya model; Hoppe model; Preferential attachment (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1016/j.spl.2016.02.010

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