This analysis of the Pólya urn scheme focuses on proving two new important results. First, the correlation structure between draws of a Pólya urn scheme is uniform. Second, fixing the number of draws and the composition of the urn, a convex stochastic ordering is induced by the number of balls replaced into the urn
A P\'olya urn is a stochastic process that describes the composition of an urn that contains balls o...
A very simple specific case of a Polya urn scheme is as follows. At each trial one draws a ball from...
We propose an approach to analyze the asymptotic behavior of Pólya urns based on the contraction met...
UCD Geary Institute Discussion Papers often represent preliminary work and are circulated to encoura...
We consider a general two-color urn model characterized by a 2x2 matrix of integerswithout constrain...
We consider a class of nonlinear Pólya urn models, which are applied to model self-organizing proces...
We collect, survey and develop methods of (one-dimensional) stochastic approximation in a framework ...
International audienceThis paper extends the link between stochastic approximation (SA) theory and r...
Pólya urn schemes are statistical models that use colored balls to represent a growth or decay proce...
Many problems in probability can be represented as a model of drawing and replacing colored balls fr...
International audiencePolya urns are urns where at each unit of time a ball is drawn and replaced wi...
We review some urn and random-allocation models, mostly using probability generating function (PGF) ...
In this paper the authors continue to study the process of growth modeled by urn schemes containing ...
Abstract. This paper introduces and analyzes a particular class of Pólya urns: balls are of two col...
A strong law is obtained for the process {Xn} that represents the proportion of balls of each colour...
A P\'olya urn is a stochastic process that describes the composition of an urn that contains balls o...
A very simple specific case of a Polya urn scheme is as follows. At each trial one draws a ball from...
We propose an approach to analyze the asymptotic behavior of Pólya urns based on the contraction met...
UCD Geary Institute Discussion Papers often represent preliminary work and are circulated to encoura...
We consider a general two-color urn model characterized by a 2x2 matrix of integerswithout constrain...
We consider a class of nonlinear Pólya urn models, which are applied to model self-organizing proces...
We collect, survey and develop methods of (one-dimensional) stochastic approximation in a framework ...
International audienceThis paper extends the link between stochastic approximation (SA) theory and r...
Pólya urn schemes are statistical models that use colored balls to represent a growth or decay proce...
Many problems in probability can be represented as a model of drawing and replacing colored balls fr...
International audiencePolya urns are urns where at each unit of time a ball is drawn and replaced wi...
We review some urn and random-allocation models, mostly using probability generating function (PGF) ...
In this paper the authors continue to study the process of growth modeled by urn schemes containing ...
Abstract. This paper introduces and analyzes a particular class of Pólya urns: balls are of two col...
A strong law is obtained for the process {Xn} that represents the proportion of balls of each colour...
A P\'olya urn is a stochastic process that describes the composition of an urn that contains balls o...
A very simple specific case of a Polya urn scheme is as follows. At each trial one draws a ball from...
We propose an approach to analyze the asymptotic behavior of Pólya urns based on the contraction met...
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