On the two-sided quality control

Rublík, František. "On the two-sided quality control." Aplikace matematiky 27.2 (1982): 87-95. <http://eudml.org/doc/15228>.

@article{Rublík1982,
abstract = {Let the random variable $X$ have the normal distribution $N(\mu ,\sigma ^2)$. Explicit formulas for maximum likelihood estimator of $\mu ,\sigma $ are derived under the hypotheses $\mu +c\sigma \le m + \delta , \mu -c\sigma \ge m-\delta $, where $c,m,\delta $ are arbitrary fixed numbers. Asymptotic distribution of the likelihood ratio statistic for testing this hypothesis is derived and some of its quantiles are presented.},
author = {Rublík, František},
journal = {Aplikace matematiky},
keywords = {maximum likelihood statistic; tables of critical values; two-sided hypotheses; normal population; maximum likelihood statistic; tables of critical values; two-sided hypotheses; normal population},
language = {eng},
number = {2},
pages = {87-95},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the two-sided quality control},
url = {http://eudml.org/doc/15228},
volume = {27},
year = {1982},
}

TY - JOUR
AU - Rublík, František
TI - On the two-sided quality control
JO - Aplikace matematiky
PY - 1982
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 27
IS - 2
SP - 87
EP - 95
AB - Let the random variable $X$ have the normal distribution $N(\mu ,\sigma ^2)$. Explicit formulas for maximum likelihood estimator of $\mu ,\sigma $ are derived under the hypotheses $\mu +c\sigma \le m + \delta , \mu -c\sigma \ge m-\delta $, where $c,m,\delta $ are arbitrary fixed numbers. Asymptotic distribution of the likelihood ratio statistic for testing this hypothesis is derived and some of its quantiles are presented.
LA - eng
KW - maximum likelihood statistic; tables of critical values; two-sided hypotheses; normal population; maximum likelihood statistic; tables of critical values; two-sided hypotheses; normal population
UR - http://eudml.org/doc/15228
ER -