Geodesic
What scientific folklore knows about the distances between the~most~popular distributions
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 22 (2022) no. 2, pp. 233-240

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We present a number of upper and low bounds for the total variation distances between the most popular probability distributions. In particular, some estimates of the total variation distances between one-dimensional Gaussian distributions, between two Poisson distributions, between two binomial distributions, between a binomial and a Poisson distribution, and also between two negative binomial distributions are given. The Kolmogorov – Smirnov distance is also presented. 
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     title = {What scientific folklore knows about the distances between the~most~popular distributions},
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M. Ya. Kelbert; Yu. M. Sukhov. What scientific folklore knows about the distances between the~most~popular distributions. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 22 (2022) no. 2, pp. 233-240. http://geodesic.mathdoc.fr/item/ISU_2022_22_2_a9/