On the problem of the means of weighted normal populations.

Nikulin, Mikhail S., and Voinov, Vassiliy G.. "On the problem of the means of weighted normal populations.." Qüestiió 19.1-2-3 (1995): 93-106. <http://eudml.org/doc/40236>.

@article{Nikulin1995,
abstract = {An analytical problem, which arises in the statistical problem of comparing the means of two normal distributions, the variances of which -as well as their ratio- are unknown, is well known in the mathematical statistics as the Behrens-Fisher problem. One generalization of the Behrens-Fisher problem and different aspect concerning the estimation of the common mean of several independent normal distributions with different variances are considered and one solution is proposed.},
author = {Nikulin, Mikhail S., Voinov, Vassiliy G.},
journal = {Qüestiió},
keywords = {Estimadores insesgados; Distribuciones multivariantes; Distribución ponderada; Estimador de varianza; Behrens-Fisher problem; minimum varaince unbiased estimator; point and interval estimators; efficient estimator; test},
language = {eng},
number = {1-2-3},
pages = {93-106},
title = {On the problem of the means of weighted normal populations.},
url = {http://eudml.org/doc/40236},
volume = {19},
year = {1995},
}

TY - JOUR
AU - Nikulin, Mikhail S.
AU - Voinov, Vassiliy G.
TI - On the problem of the means of weighted normal populations.
JO - Qüestiió
PY - 1995
VL - 19
IS - 1-2-3
SP - 93
EP - 106
AB - An analytical problem, which arises in the statistical problem of comparing the means of two normal distributions, the variances of which -as well as their ratio- are unknown, is well known in the mathematical statistics as the Behrens-Fisher problem. One generalization of the Behrens-Fisher problem and different aspect concerning the estimation of the common mean of several independent normal distributions with different variances are considered and one solution is proposed.
LA - eng
KW - Estimadores insesgados; Distribuciones multivariantes; Distribución ponderada; Estimador de varianza; Behrens-Fisher problem; minimum varaince unbiased estimator; point and interval estimators; efficient estimator; test
UR - http://eudml.org/doc/40236
ER -