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Strong laws for balanced triangular urns

Consider an urn model whose replacement matrix is triangular, has all entries nonnegative and the row sums are all equal to one. We obtain the strong laws for the counts of balls corresponding to each color. The scalings for these laws depend on the diagonal elements of a rearranged replacement matrix. We use the strong laws obtained to study further behavior of certain three color urn models.

preprint2008arXivOpen access
Arup BoseAmites DasguptaKrishanu Maulik
math.PR
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Open access3 authors1 topic
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Arup BoseAmites DasguptaKrishanu Maulik

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