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JOURNALS // Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy // Archive

Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2021 Volume 8, Issue 3, Pages 442–454 (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

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.

UDC: 519.213 + 517.3

MSC: 60E15, 60D05; 26B15

Received: 07.11.2020
Revised: 12.01.2020
Accepted: 19.03.2020

DOI: 10.21638/spbu01.2021.306


 English version:
Vestnik St. Petersburg University, Mathematics, 2021, 8:4, 254–263


© Steklov Math. Inst. of RAS, 2024