A Characterization of Sufficiency
Bahadur, R. R.
Ann. Math. Statist., Tome 26 (1955) no. 4, p. 286-293 / Harvested from Project Euclid
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The main conclusion of this paper can be described as follows. Consider a statistical decision problem in which certain structural conditions are satisfied, and let $T$ be a statistic on the sample space. Then the class of decision functions which depend on the sample point only through $T$ is essentially complete if and only if $T$ is a sufficient statistic. The structural conditions in question are satisfied in many estimation problems.
Publié le : 1955-06-14
Classification:  
@article{1177728545,
     author = {Bahadur, R. R.},
     title = {A Characterization of Sufficiency},
     journal = {Ann. Math. Statist.},
     volume = {26},
     number = {4},
     year = {1955},
     pages = { 286-293},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1177728545}
}

Bahadur, R. R. A Characterization of Sufficiency. Ann. Math. Statist., Tome 26 (1955) no. 4, pp.  286-293. http://gdmltest.u-ga.fr/item/1177728545/