A note on the upper bound for the distance in total variation between the binomal and the Poisson distribution

DOI10.1111/j.1467-9574.1977.tb00759.xzbMath0369.60025OpenAlexW2123311005MaRDI QIDQ4148550

Malgorzata Romanowska

Publication date: 1977

Published in: Statistica Neerlandica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/j.1467-9574.1977.tb00759.x

Mathematics Subject Classification ID

Probability distributions: general theory (60E05)

Related Items (14)

Improvements in the Poisson approximation of mixed Poisson distributions ⋮ The Least Upper Bound on the Poisson-Negative Binomial Relative Error ⋮ A Charlier-Parseval approach to Poisson approximation and its applications ⋮ On the rate of Poisson convergence ⋮ Sharp estimates in signed Poisson approximation of Poisson mixtures ⋮ A note on Poisson approximation ⋮ Estimating the number of classes ⋮ On the accuracy of Poisson approximation ⋮ Distance between sampling with and without replacement ⋮ Exact and approximate runs distributions ⋮ Poisson approximation of the mixed Poisson distribution with infinitely divisible mixing law ⋮ Poisson approximation ⋮ Some strong epsilon-equivalence of random variables ⋮ Poisson approximation for random sums of Bernoulli random variables

Cites Work

• Upper bounds for the distance in total variation between the binomial or negative binomial and the Poisson distribution

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