Upper bounds for the distance in total variation between the binomial or negative binomial and the Poisson distribution
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Publication:5544783
DOI10.1111/j.1467-9574.1969.tb00075.xzbMath0162.22203OpenAlexW1963995652MaRDI QIDQ5544783
Publication date: 1969
Published in: Statistica Neerlandica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1111/j.1467-9574.1969.tb00075.x
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Improvements in the Poisson approximation of mixed Poisson distributions ⋮ Semicontinuous processes in multi-dimensional extreme value theory ⋮ Limit theorems for convex hulls ⋮ The Least Upper Bound on the Poisson-Negative Binomial Relative Error ⋮ Variance expansion and Berry-Esseen bound for the number of vertices of a random polygon in a polygon ⋮ A Charlier-Parseval approach to Poisson approximation and its applications ⋮ Tuza's conjecture for random graphs ⋮ Limit points of sample maxima ⋮ An approximation theorem for sums of certain randomly selected indicators ⋮ On the rate of Poisson convergence ⋮ Sharp estimates in signed Poisson approximation of Poisson mixtures ⋮ A note on the upper bound for the distance in total variation between the binomal and the Poisson distribution ⋮ Central limit theorems for uniform model random polygons ⋮ Distance between sampling with and without replacement ⋮ Poisson approximation of the mixed Poisson distribution with infinitely divisible mixing law ⋮ Poisson approximation ⋮ Some strong epsilon-equivalence of random variables ⋮ Central limit theorems for random polytopes ⋮ On the uniform convergence of normalized Poisson mixtures to their mixing distribution
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