Bin sizes in time-inhomogeneous infinite Polya processes

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• 作者：Dudley Stark ^{d.s.stark@qmul.ac.uk" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Polya model ; Hoppe model ; Preferential attachment
• 刊名：Statistics & Probability Letters
• 出版年：2016
• 出版时间：June 2016
• 年：2016
• 卷：113
• 期：Complete
• 页码：49-53
• 全文大小：342 K

文摘

At the baea1a6a4d68992606" title="Click to view the MathML source">n$n$th 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$k$, for k$k$ fixed, as n→∞$n\to \infty$.