Publication: Compound Poisson approximation in total variation
Compound Poisson approximation in total variation
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Barbour, A. D., & Utev, S. (1999). Compound Poisson approximation in total variation. Stochastic Processes and Their Applications, 82(1), 89–125. https://doi.org/10.1016/S0304-4149(99)00004-6
Abstract
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Abstract
Poisson approximation in total variation can be successfully established in a wide variety of contexts, involving sums of weakly dependent random variables which usually take the value 0, and occasionally the value 1. If the random variables can take other positive integer values, or if there is stronger dependence between them, compound Poisson approximation may be more suitable. Stein's method, which is so effective in the Poisson context, turns out to be much more difficult to apply for compound Poisson approximation, because the s
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- Barbour, A D
- Utev, S
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Barbour, A. D., & Utev, S. (1999). Compound Poisson approximation in total variation. Stochastic Processes and Their Applications, 82(1), 89–125. https://doi.org/10.1016/S0304-4149(99)00004-6
