A Necessary and Sufficient Condition for Second Order Admissibility with Applications to Berkson's Bioassay Problem
Ghosh, J. K. ; Sinha, Bimal K.
Ann. Statist., Tome 9 (1981) no. 1, p. 1334-1338 / Harvested from Project Euclid
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A theorem is proved which gives a necessary and sufficient condition for improving, up to $o(n^{-2})$, the mean squared error of the maximum likelihood estimate $\hat{\theta}$ by using an estimate of the form $\hat{\theta} + d(\hat{\theta})/n$. An application is made to a bioassay problem of Berkson.
Publié le : 1981-11-14
Classification:  Maximum likelihood estimate,  second order admissibility,  62F12,  62C15 
@article{1176345650,
     author = {Ghosh, J. K. and Sinha, Bimal K.},
     title = {A Necessary and Sufficient Condition for Second Order Admissibility with Applications to Berkson's Bioassay Problem},
     journal = {Ann. Statist.},
     volume = {9},
     number = {1},
     year = {1981},
     pages = { 1334-1338},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176345650}
}

Ghosh, J. K.; Sinha, Bimal K. A Necessary and Sufficient Condition for Second Order Admissibility with Applications to Berkson's Bioassay Problem. Ann. Statist., Tome 9 (1981) no. 1, pp.  1334-1338. http://gdmltest.u-ga.fr/item/1176345650/