2002/11/27 by Yu. I. Bogdanov, Bogdanov, Yu. I.
Physics and Astronomy · #Data Analysis #FOS: Physical sciences #Quantum Physics (quant-ph) #Statistics and Probability (physics.data-an) #physics.data-an #quant-ph
paper · pdf · doi:10.48550/arxiv.physics/0211109
39 pages, 6 figures
arxiv created 2002/11/27 · arxiv updated 2009/12/01
A fundamental problem of statistical data analysis, distribution density estimation by experimental data, is considered. A new method with optimal asymptotic behavior, the root density estimator, is developed. The method proposed may be applied to its full extent to solve the statistical inverse problem of quantum mechanics, namely, estimating the psi function on the basis of the results of mutually complementing experiments.