# On the problem of the means of weighted normal populations.

Mikhail S. Nikulin; Vassiliy G. Voinov

Qüestiió (1995)

- Volume: 19, Issue: 1-2-3, page 93-106
- ISSN: 0210-8054

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topNikulin, 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 -

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