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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2022, Volume 22, Issue 2, Pages 233–240
DOI: https://doi.org/10.18500/1816-9791-2022-22-2-233-240 (Mi isu937) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Scientific Part
Computer Sciences

What scientific folklore knows about the distances between the most popular distributions

M. Ya. Kelberta, Yu. M. Sukhovbcd

a Higher School of Economics – National Research University, 20 Myasnitskaya St., Moscow 101000, Russia
b University of Cambridge, The Old Schools, Trinity Ln, Cambridge CB2 1TN, UK
c University of Pennsylvania, 201 Old Main, State College, PA 16802, USA
d Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), 19 build. 1 Bolshoy Karetny per., Moscow 127051, Russia
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DOI: https://doi.org/10.18500/1816-9791-2022-22-2-233-240
Abstract: 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.
Key words: probability distribution, variation distance, Pinsker’s inequality, Le Cam’s inequalities, distances between distributions.
Received: 25.11.2021
Accepted: 27.12.2021
Bibliographic databases:
Document Type: Article
UDC: 519.85
Language: English
Citation: M. Ya. Kelbert, Yu. M. Sukhov, “What scientific folklore knows about the distances between the most popular distributions”, Izv. Saratov Univ. Math. Mech. Inform., 22:2 (2022), 233–240
Citation in format AMSBIB
\Bibitem{KelSuk22}
\by M.~Ya.~Kelbert, Yu.~M.~Sukhov
\paper What scientific folklore knows about the distances between the~most~popular distributions
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2022
\vol 22
\issue 2
\pages 233--240
\mathnet{http://mi.mathnet.ru/isu937}
\crossref{https://doi.org/10.18500/1816-9791-2022-22-2-233-240}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4439114}
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    • This publication is cited in the following 1 articles:
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    		Izvestiya of Saratov University. Mathematics. Mechanics. Informatics
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