Occupancy schemes associated to Yule processes
نویسندگان
چکیده
منابع مشابه
Occupancy Schemes Associated to Yule Processes
An occupancy problem with an infinite number of bins and a random probability vector for the locations of the balls is considered. The respective sizes of bins are related to the split times of a Yule process. The asymptotic behavior of the landscape of first empty bins, i.e., the set of corresponding indices represented by point processes, is analyzed and convergences in distribution to mixed ...
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A study is presented on solutions of the Yule-Walker equations for singular AR processes that are stationary outputs of a given AR system. If the Yule-Walker equations admit more than one solution and the order of the AR system is no less than two, the solution set includes solutions which define unstable AR systems. The solution set also includes one solution, the minimal norm solution, which ...
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Collections of journal papers, often referred to as ’citation networks’, can be modeled as a collection of coupled bipartite networks which tend to exhibit linear growth and preferential attachment as papers are added to the collection. Assuming primary nodes in the first partition and secondary nodes in the second partition, the basic bipartite Yule process assumes that as each primary node is...
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The dynamic, multi-season occupancy model framework has become a popular tool for modeling open populations with occupancies that change over time through local colonizations and extinctions. However, few versions of the model relate these probabilities to the occupancies of neighboring sites or patches. We present a modeling framework that incorporates this information and is capable of descri...
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ژورنال
عنوان ژورنال: Advances in Applied Probability
سال: 2009
ISSN: 0001-8678,1475-6064
DOI: 10.1017/s0001867800003438