Selection of the Optimal Number of Intervals Sampling the Region of Values of a Two-Dimensional Random Variable
- Authors: Lapko A.V.1,2, Lapko V.A.1,2
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Affiliations:
- Institute of Computational Modeling, Siberian Branch, Russian Academy of Sciences (IVM SO RAN)
- Siberian State Aerospace University
- Issue: Vol 59, No 2 (2016)
- Pages: 122-126
- Section: Article
- URL: https://journals.rcsi.science/0543-1972/article/view/245735
- DOI: https://doi.org/10.1007/s11018-016-0928-y
- ID: 245735
Cite item
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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