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Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2021, Volume 8, Issue 3, Pages 442–454
DOI: https://doi.org/10.21638/spbu01.2021.306 (Mi vspua94) 		 
MATHEMATICS

The effect of distributions symmetrization on their peakedness

M. I. Revyakov

St. Petersburg Department of the Steklov Mathematical Institute, 27, nab. r. Fontanki, St. Petersburg, 191023, Russian Federation
Full-text PDF (344 kB)
DOI: https://doi.org/10.21638/spbu01.2021.306
Abstract: Indirect transformations of a one-dimensional, two-dimensional, and multidimensional random variable are proposed. They are based on various symmetrizations of the density function. The focus is on changing peakedness of a distribution about the origin.
Keywords: peakedness, function rearrangement, continuous symmetrization, log-concave density, majorization, statistical inference.
Received: 07.11.2020
Revised: 12.01.2020
Accepted: 19.03.2020
English version:
Vestnik St. Petersburg University, Mathematics, 2021, Volume 8, Issue 4, Pages 254–263
DOI: https://doi.org/10.1134/S1063454121030079
Document Type: Article
UDC: 519.213 + 517.3
MSC: 60E15, 60D05; 26B15
Language: Russian
Citation: M. I. Revyakov, “The effect of distributions symmetrization on their peakedness”, Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 8:3 (2021), 442–454; Vestn. St. Petersbg. Univ., Math., 8:4 (2021), 254–263
Citation in format AMSBIB
\Bibitem{Rev21}
\by M.~I.~Revyakov
\paper The effect of distributions symmetrization on their peakedness
\jour Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy
\yr 2021
\vol 8
\issue 3
\pages 442--454
\mathnet{http://mi.mathnet.ru/vspua94}
\crossref{https://doi.org/10.21638/spbu01.2021.306}
\transl
\jour Vestn. St. Petersbg. Univ., Math.
\yr 2021
\vol 8
\issue 4
\pages 254--263
\crossref{https://doi.org/10.1134/S1063454121030079}
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