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- W2078302544 abstract "The paper is concerned with the equilibrium distributions of continuous-time density dependent Markov processes on the integers. These distributions are known typically to be approximately normal, with $O( 1 /{sqrt{n}})$ error as measured in Kolmogorov distance. Here, an approximation in the much stronger total variation norm is established, without any loss in the asymptotic order of accuracy; the approximating distribution is a translated Poisson distribution having the same variance and (almost) the same mean. Our arguments are based on the Stein–Chen method and Dynkin’s formula." @default.
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- W2078302544 date "2009-03-07" @default.
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- W2078302544 title "Translated Poisson Approximation to Equilibrium Distributions of Markov Population Processes" @default.
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- W2078302544 doi "https://doi.org/10.1007/s11009-009-9124-8" @default.
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