Arup Bose, Amites Dasgupta, Krishanu Maulik
Published 2008-08-04Version 1
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.
Journal: Journal of Applied Probability 2009, 46, no. 2, 571-584
Strong invariance principles for dependent random variables
de Finetti's theorem and the existence of regular conditional distributions and strong laws on exchangeable algebras
On a General Approach to the Strong Laws of Large Numbers
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