A connection between the Poissonian Wick product and the discrete convolution
Copyright policy )A connection between the Poissonian Wick product and the discrete convolution
Inspired by Lemma 3.1 in (4), where a connection between the Gaussian Wick product and the classic convolution product is shown, we prove that the Wick product associated to the Poisson distribution is re- lated to the discrete convolution and hence to the law of the sum of discrete independent random variables. The proof of the main result is based on el- ementary probabilistic tools and on the properties of the Poisson-Charlier polynomials.
Gauss and Poisson distributions, Wick product, regular generalized functions., Gauss and Poisson distributions; Wick product; regular generalized functions.
Gauss and Poisson distributions, Wick product, regular generalized functions., Gauss and Poisson distributions; Wick product; regular generalized functions.
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!