A Charlier-Parseval approach to Poisson approximation and its applications
نویسندگان
چکیده
A new approach to Poisson approximation is proposed. The basic idea is very simple and based on properties of the Charlier polynomials and the Parseval identity. Such an approach quickly leads to new effective bounds for several Poisson approximation problems. A selected survey on diverse Poisson approximation results is also given. MSC 2000 Subject Classifications: Primary 62E17; secondary 60C05 60F05.
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