Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2003-05-27
Physica A343:295,2004
Physics
Condensed Matter
Statistical Mechanics
17 pages, 3 figures, corrected typos, revtex style changed to elsart
Scientific paper
10.1016/j.physa.2004.05.048
Using random matrix technique we determine an exact relation between the eigenvalue spectrum of the covariance matrix and of its estimator. This relation can be used in practice to compute eigenvalue invariants of the covariance (correlation) matrix. Results can be applied in various problems where one experimentally estimates correlations in a system with many degrees of freedom, like in statistical physics, lattice measurements of field theory, genetics, quantitative finance and other applications of multivariate statistics.
Burda Zdzislaw
Goerlich Andrzej
Jarosz Andrzej
Jurkiewicz Jerzy
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