Teoriâ veroâtnostej i ee primeneniâ, Tome 8 (1963) no. 4, pp. 431-443
Citer cet article
A. N. Shiryaev. On the Detection of Disorder in a Manufacturing Process. II. Teoriâ veroâtnostej i ee primeneniâ, Tome 8 (1963) no. 4, pp. 431-443. http://geodesic.mathdoc.fr/item/TVP_1963_8_4_a3/
@article{TVP_1963_8_4_a3,
author = {A. N. Shiryaev},
title = {On the {Detection} of {Disorder} in a {Manufacturing} {Process.~II}},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {431--443},
year = {1963},
volume = {8},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1963_8_4_a3/}
}
TY - JOUR
AU - A. N. Shiryaev
TI - On the Detection of Disorder in a Manufacturing Process. II
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1963
SP - 431
EP - 443
VL - 8
IS - 4
UR - http://geodesic.mathdoc.fr/item/TVP_1963_8_4_a3/
LA - ru
ID - TVP_1963_8_4_a3
ER -
%0 Journal Article
%A A. N. Shiryaev
%T On the Detection of Disorder in a Manufacturing Process. II
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1963
%P 431-443
%V 8
%N 4
%U http://geodesic.mathdoc.fr/item/TVP_1963_8_4_a3/
%G ru
%F TVP_1963_8_4_a3
The main result of this paper is contained in expression (2.46), which shows that as in the Neyman–Pearson method the mean delay time $\tau({\mathbf T};N)$ for detecting the disorder (the object) depends on the number of directions $N$ (along one of which the disorder appears) and on the mean time ${\mathbf T}$ between two false alarms.
