Signed Poisson approximation is a signed measure, has the structure of the Poisson distribution and can be regarded as a special sort of asymptotic expansion when the expansion is in the exponent. For certain lattice distributions signed Poisson approximation combines advantages of both the normal and Poisson approximations. For the generalized binomial distribution estimates with respect to the total variation and Wasserstein distances are obtained. The results are exempli®ed by Bernoulli decomposable variables.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.