On a Theorem of Morimoto Concerning Sufficiency for Discrete Distributions
Brown, L.
Ann. Statist., Tome 3 (1975) no. 1, p. 1180-1182 / Harvested from Project Euclid
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We prove in a discrete setting that if for all test functions, $t$, there is a $\mathbf{B}$ measurable test function, $s$, such that $E_p(t) = E_p(s)$ for all $p \in P$ then some subfield of $\mathbf{B}$ is sufficient for $P$.
Publié le : 1975-09-14
Classification:  Sufficiency,  test-function sufficiency,  62B05,  62B20,  62C05,  62D05 
@article{1176343249,
     author = {Brown, L.},
     title = {On a Theorem of Morimoto Concerning Sufficiency for Discrete Distributions},
     journal = {Ann. Statist.},
     volume = {3},
     number = {1},
     year = {1975},
     pages = { 1180-1182},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176343249}
}

Brown, L. On a Theorem of Morimoto Concerning Sufficiency for Discrete Distributions. Ann. Statist., Tome 3 (1975) no. 1, pp.  1180-1182. http://gdmltest.u-ga.fr/item/1176343249/