Root approach for estimation of statistical distributions

Yu. I. Bogdanov; N. A. Bogdanova

doi:10.1117/12.2181090

18 December 2014 Root approach for estimation of statistical distributions

Yu. I. Bogdanov, N. A. Bogdanova

Proceedings Volume 9440, International Conference on Micro- and Nano-Electronics 2014; 94401K (2014) https://doi.org/10.1117/12.2181090
Event: The International Conference on Micro- and Nano-Electronics 2014, 2014, Zvenigorod, Russian Federation

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.

Citation Download Citation

Yu. I. Bogdanov and N. A. Bogdanova "Root approach for estimation of statistical distributions", Proc. SPIE 9440, International Conference on Micro- and Nano-Electronics 2014, 94401K (18 December 2014); https://doi.org/10.1117/12.2181090

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