S. Y. Novak
Published 2018-12-31Version 1
We overview results on the topic of Poisson approximation that are missed in existing surveys. The topic of Poisson approximation to the distribution of a sum of integer-valued random variables is presented as well. We do not restrict ourselves to a particular method, and overview the whole range of issues including the general limit theorem, estimates of the accuracy of approximation, asymptotic expansions, etc. Related results on the accuracy of compound Poisson approximation are presented as well. We indicate a number of open problems and discuss directions of further research.
Compound Poisson approximation of subgraph counts in stochastic block models with multiple edges
Compound Poisson approximation to estimate the Lévy density
Compound Poisson approximation for triangular arrays with application to threshold estimation
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