Statistical Inverse Problem

Details Statistical Inverse Problem Statistical Inverse Problem

2002-11-27

arxiv.org/abs/physics/0211109v1

Physics

Data Analysis, Statistics and Probability

39 pages, 6 figures

Scientific paper

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.

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