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 dis...
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| Autor*in: |
Kelbert, Mark Yakovlevich [verfasserIn] Suhov, Yurii M. [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch ; Russisch |
| Erschienen: |
2022 |
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| Schlagwörter: |
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| Übergeordnetes Werk: |
In: Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика - Saratov State University, 2019, 22(2022), 2, Seite 233-240 |
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| Übergeordnetes Werk: |
volume:22 ; year:2022 ; number:2 ; pages:233-240 |
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Link aufrufen |
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| DOI / URN: |
10.18500/1816-9791-2022-22-2-233-240 |
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DOAJ029640504 |
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In Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика 22(2022), 2, Seite 233-240 volume:22 year:2022 number:2 pages: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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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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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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QA - Mathematics |
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c |
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| doi_str |
10.18500/1816-9791-2022-22-2-233-240 |
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QA1-939 |
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2024-07-03T23:47:03.311Z |
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