Uniform correlation structure and convex stochastic ordering in the Pólya urn scheme
نویسندگان
چکیده
منابع مشابه
On Generalized Pólya Urn Models
We study an urn model introduced in the paper of Chen and Wei [2], where at each discrete time step m balls are drawn at random from the urn containing colors white and black. Balls are added to the urn according to the inspected colors, generalizing the well known Pólya-Eggenberger urn model, case m = 1. We provide exact expressions for the expectation and the variance of the number of white b...
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This paper introduces and analyzes a particular class of Pólya urns: balls are of two colors, can only be added (the urns are said to be additive) and at every step the same constant number of balls is added, thus only the color compositions varies (the urns are said to be balanced). These properties make this class of urns ideally suited for analysis from an “analytic combinatorics” point-of-v...
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Language change takes place primarily via diffusion of linguistic variants in a population of individuals. Identifying selective pressures on this process is important not only to construe and predict changes, but also to inform theories of evolutionary dynamics of socio-cultural factors. In this paper, we advocate the Price equation from evolutionary biology and the Pólya-urn dynamics from con...
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Topic modelling has been popularly used to discover latent topics from text documents. Most existing models work on individual words. That is, they treat each topic as a distribution over words. However, using only individual words has several shortcomings. First, it increases the co-occurrences of words which may be incorrect because a phrase with two words is not equivalent to two separate wo...
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ژورنال
عنوان ژورنال: Statistics & Probability Letters
سال: 2013
ISSN: 0167-7152
DOI: 10.1016/j.spl.2012.09.012