Random determinants
Itogi nauki i tehniki. Seriâ, Teoriâ veroâtnostej. Matematičeskaâ statistika. Teoretičeskaâ kibernetika, Itogi Nauki i Tekhniki. Seriya "Teoriya Veroyatnostei. Matematicheskaya Statistika. Teoreticheskaya Kibernetika", Tome 24 (1986), pp. 3-51
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In the survey, the principal assertions of the theory of random determinants are collected. The theory emerged on the borderline between probability theory and sciences related to it: control theory, statistical physics, nuclear physics, multivariate statistical analysis, and solid-state physics. The applications are discussed of the theory of random determinants to statistical analysis of observations on random vectors of growing dimension.
@article{INTV_1986_24_a0,
author = {V. L. Girko},
title = {Random determinants},
journal = {Itogi nauki i tehniki. Seri\^a, Teori\^a vero\^atnostej. Matemati\v{c}eska\^a statistika. Teoreti\v{c}eska\^a kibernetika},
pages = {3--51},
year = {1986},
volume = {24},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/INTV_1986_24_a0/}
}
V. L. Girko. Random determinants. Itogi nauki i tehniki. Seriâ, Teoriâ veroâtnostej. Matematičeskaâ statistika. Teoretičeskaâ kibernetika, Itogi Nauki i Tekhniki. Seriya "Teoriya Veroyatnostei. Matematicheskaya Statistika. Teoreticheskaya Kibernetika", Tome 24 (1986), pp. 3-51. http://geodesic.mathdoc.fr/item/INTV_1986_24_a0/