Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 1, Tome 228 (1996), pp. 312-332
Citer cet article
I. A. Suslina. Extreme problems in minimax signal detection for $l_q$-ellipsoids with $l_p$-balls removed. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 1, Tome 228 (1996), pp. 312-332. http://geodesic.mathdoc.fr/item/ZNSL_1996_228_a25/
@article{ZNSL_1996_228_a25,
author = {I. A. Suslina},
title = {Extreme problems in minimax signal detection for $l_q$-ellipsoids with $l_p$-balls removed},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {312--332},
year = {1996},
volume = {228},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1996_228_a25/}
}
TY - JOUR
AU - I. A. Suslina
TI - Extreme problems in minimax signal detection for $l_q$-ellipsoids with $l_p$-balls removed
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1996
SP - 312
EP - 332
VL - 228
UR - http://geodesic.mathdoc.fr/item/ZNSL_1996_228_a25/
LA - ru
ID - ZNSL_1996_228_a25
ER -
%0 Journal Article
%A I. A. Suslina
%T Extreme problems in minimax signal detection for $l_q$-ellipsoids with $l_p$-balls removed
%J Zapiski Nauchnykh Seminarov POMI
%D 1996
%P 312-332
%V 228
%U http://geodesic.mathdoc.fr/item/ZNSL_1996_228_a25/
%G ru
%F ZNSL_1996_228_a25
Asymptotically minimax problem of signal detection is considered for signals from $l_q$-ellisoids with $l_p$-ball removed ($p>2$ or $p<2$, $q) and Gaussian white noise. Assymptotically exact condition of distinguishability are obtained as well as estimates of minimax probability of errors for axes of ellipsoids $a_n\asymp n^{-\lambda}$, $\lambda>0$. Bibl. 6 titles.
