For citation:
Kelbert M. Y., Suhov Y. M. What scientific folklore knows about the distances between the most popular distributions. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2022, vol. 22, iss. 2, pp. 233-240. DOI: 10.18500/1816-9791-2022-22-2-233-240, EDN: NAODGL
What scientific folklore knows about the distances between the most popular distributions
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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