Title :
Root estimator of states
Author :
Bogdanov, Yurii I.
Author_Institution :
OAO "Angstrem", Moscow, Russia
Abstract :
A fundamental problem of statistical data analysis, distribution density estimation by experimental data, is considered. A new method with optimal asymptotic behavior, the root state 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.
Keywords :
covariance matrices; indeterminancy; information theory; maximum likelihood estimation; state estimation; statistical distributions; Fisher information matrix; chi-square criterion; complex valued function; covariance matrix; distribution density estimation; maximum likelihood estimators; mutually complementing experiments; optimal asymptotic behavior; probability density; psi function; quantum mechanics; root state estimator; statistical data analysis; statistical inverse problem; uncertainty relation; Covariance matrix; Data analysis; Linear matrix inequalities; Maximum likelihood estimation; Parameter estimation; Quantum mechanics; Random variables; State estimation; Tensile stress; Vectors;
Conference_Titel :
Physics and Control, 2003. Proceedings. 2003 International Conference
Print_ISBN :
0-7803-7939-X
DOI :
10.1109/PHYCON.2003.1237007
