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Proceedings Paper

Root approach for estimation of statistical distributions
Author(s): Yu. I. Bogdanov; N. A. Bogdanova
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Paper Abstract

Application of root density estimator to problems of statistical data analysis is demonstrated. Four sets of basis functions based on Chebyshev-Hermite, Laguerre, Kravchuk and Charlier polynomials are considered. The sets may be used for numerical analysis in problems of reconstructing statistical distributions by experimental data. Based on the root approach to reconstruction of statistical distributions and quantum states, we study a family of statistical distributions in which the probability density is the product of a Gaussian distribution and an even-degree polynomial. Examples of numerical modeling are given.

Paper Details

Date Published: 18 December 2014
PDF: 9 pages
Proc. SPIE 9440, International Conference on Micro- and Nano-Electronics 2014, 94401K (18 December 2014); doi: 10.1117/12.2181090
Show Author Affiliations
Yu. I. Bogdanov, Institute of Physics and Technology (Russian Federation)
National Research Univ. of Electronic Technology (Russian Federation)
National Research Nuclear Univ. MEPHI (Russian Federation)
N. A. Bogdanova, National Research Univ. of Electronic Technology (Russian Federation)


Published in SPIE Proceedings Vol. 9440:
International Conference on Micro- and Nano-Electronics 2014
Alexander A. Orlikovsky, Editor(s)

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