A Note on the Theory of Unbiassed Estimation
Basu, D.
Ann. Math. Statist., Tome 26 (1955) no. 4, p. 345-348 / Harvested from Project Euclid
It is shown that even in very simple situations (like estimating the mean of a normal population) where a uniformly minimum variance unbiased estimator of the unknown population characteristic is known to exist, no best (even locally) unbiased estimator exists as soon as we alter slightly the definition of variance.
Publié le : 1955-06-14
Classification: 
@article{1177728554,
     author = {Basu, D.},
     title = {A Note on the Theory of Unbiassed Estimation},
     journal = {Ann. Math. Statist.},
     volume = {26},
     number = {4},
     year = {1955},
     pages = { 345-348},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1177728554}
}
Basu, D. A Note on the Theory of Unbiassed Estimation. Ann. Math. Statist., Tome 26 (1955) no. 4, pp.  345-348. http://gdmltest.u-ga.fr/item/1177728554/