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Exact Kolmogorov and total variation distances between some familiar discrete distributions
Journal of Inequalities and Applications volume 2006, Article number: 64307 (2006)
Abstract
We give exact closed-form expressions for the Kolmogorov and the total variation distances between Poisson, binomial, and negative binomial distributions with different parameters. In the Poisson case, such expressions are related with the Lambert function.
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Adell, J.A., Jodrá, P. Exact Kolmogorov and total variation distances between some familiar discrete distributions. J Inequal Appl 2006, 64307 (2006). https://doi.org/10.1155/JIA/2006/64307
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DOI: https://doi.org/10.1155/JIA/2006/64307