Teoriâ veroâtnostej i ee primeneniâ, Tome 19 (1974) no. 4, pp. 714-723
Citer cet article
L. N. Bol'shev; M. K. Ubaidullaeva. The Chauvenet test in the classical theory of errors. Teoriâ veroâtnostej i ee primeneniâ, Tome 19 (1974) no. 4, pp. 714-723. http://geodesic.mathdoc.fr/item/TVP_1974_19_4_a3/
@article{TVP_1974_19_4_a3,
author = {L. N. Bol'shev and M. K. Ubaidullaeva},
title = {The {Chauvenet} test in the classical theory of errors},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {714--723},
year = {1974},
volume = {19},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1974_19_4_a3/}
}
TY - JOUR
AU - L. N. Bol'shev
AU - M. K. Ubaidullaeva
TI - The Chauvenet test in the classical theory of errors
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1974
SP - 714
EP - 723
VL - 19
IS - 4
UR - http://geodesic.mathdoc.fr/item/TVP_1974_19_4_a3/
LA - ru
ID - TVP_1974_19_4_a3
ER -
%0 Journal Article
%A L. N. Bol'shev
%A M. K. Ubaidullaeva
%T The Chauvenet test in the classical theory of errors
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1974
%P 714-723
%V 19
%N 4
%U http://geodesic.mathdoc.fr/item/TVP_1974_19_4_a3/
%G ru
%F TVP_1974_19_4_a3
The so called W. Chauvenet rule [6] for rejection of outlying observations is transformed into a test in the case of normal random variables with unknown parameters. It is shown that the distribution of the number of random variables $Y_1,\dots,Y_n$ (see section 2) which exceed some properly chosen critical value tends to a Poisson distribution as $n\to\infty$.