Selection of the Optimal Number of Intervals Sampling the Region of Values of a Two-Dimensional Random Variable


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Abstract

We investigate the asymptotic properties of nonparametric estimation of a two-dimensional probability density, whose synthesis involves the decomposition of statistical data. We determine the dependence of the number of two-dimensional sampling intervals on the volume of the original data.

About the authors

A. V. Lapko

Institute of Computational Modeling, Siberian Branch, Russian Academy of Sciences (IVM SO RAN); Siberian State Aerospace University

Author for correspondence.
Email: lapko@icm.krasn.ru
Russian Federation, Krasnoyarsk; Krasnoyarsk

V. A. Lapko

Institute of Computational Modeling, Siberian Branch, Russian Academy of Sciences (IVM SO RAN); Siberian State Aerospace University

Email: lapko@icm.krasn.ru
Russian Federation, Krasnoyarsk; Krasnoyarsk

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