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- W2551769611 abstract "We develop a new formulation of Stein's method to obtain computable upper bounds on the total variation distance between the geometric distribution and a distribution of interest. Our framework reduces the problem to the construction of a coupling between the original distribution and the discrete equilibrium distribution from renewal theory. We illustrate the approach in four non-trivial examples: the geometric sum of independent, non-negative, integer-valued random variables having common mean, the generation size of the critical Galton-Watson process conditioned on non-extinction, the in-degree of a randomly chosen node in the uniform attachment random graph model and the total degree of both a fixed and randomly chosen node in the preferential attachment random graph model." @default.
- W2551769611 created "2016-11-30" @default.
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- W2551769611 date "2010-05-16" @default.
- W2551769611 modified "2023-09-22" @default.
- W2551769611 title "Geometric approximation and the equilibrium distribution coupling" @default.
- W2551769611 hasPublicationYear "2010" @default.
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