Work

Root approach for estimation of statistical distributions

Year: 2014

Type: conference-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.

Source: Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE

DOI: 10.1117/12.2181090

Authors: Yu. I. Bogdanov, N. A. Bogdanova

Institutions: National Research University of Electronic Technology, Institute of Physics and Technology, Institute of Physics and Technology, National Research Nuclear University MEPhI

Language: English

Topic: Mathematical functions and polynomials

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W1997416224

FWCI:

Cites: 13

Cited by: 1

Related to: 10