منابع مشابه
A Yule - Simon process with memory
– The Yule-Simon model has been used as a tool to describe the growth of diverse systems, acquiring a paradigmatic character in many fields of research. Here we study a modified Yule-Simon model that takes into account the full history of the system by means of an hyperbolic memory kernel. We show how the memory kernel changes the properties of preferential attachment and provide an approximate...
متن کاملA Delayed Yule Process
In now classic work, David Kendall (1966) recognized that the Yule process and Poisson process could be related by a (random) time change. Furthermore, he showed that the Yule population size rescaled by its mean has an almost sure exponentially distributed limit as t → ∞. In this note we introduce a class of coupled delayed continuous time Yule processes parameterized by 0 < α ≤ 1 and find a r...
متن کاملObjective Bayesian Analysis of the Yule–Simon Distribution with Applications
The Yule–Simon distribution is usually employed in the analysis of frequency data. As the Bayesian literature, so far, ignored this distribution, here we show the derivation of two objective priors for the parameter of the Yule–Simon distribution. In particular, we discuss the Jeffreys prior and a loss-based prior, which has recently appeared in the literature. We illustrate the performance of ...
متن کاملThree efficient algorithms for implementing the preferential attachment mechanism in Yule-Simon Stochastic Process
We describe how different optimized algorithms may be effective in implementing the preferential attachment mechanism in different cases. We analyze performances with respect to different values of some parameters related to the Yule process associated to the preferential attachment. We examine how performance scales with system size and provide extensive simulations to support our theoretical ...
متن کاملYule Process Sample Path Asymptotics
This paper presents two results on sample paths for the Yule process: one fluid limit theorem and one sample path large deviation result. The main interest is to understand the way large deviation occurs in the case of non-homogeneous processes. There are indeed two new phenomena. First there is no “typical” speed of large deviation. Second, the large deviation event is concentrated on a finite...
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ژورنال
عنوان ژورنال: Europhysics Letters (EPL)
سال: 2006
ISSN: 0295-5075,1286-4854
DOI: 10.1209/epl/i2006-10263-9