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On the definition of probability densities and sufficiency of the likelihood map
the definition of probability densities sufficiency of the likelihood map
2009/9/22
The defiition and sufficiency of the likelihood map are
discussed in detail. It is shown that the likelihood map is sdlicient
without any restriction on the family of probability measures and that
...
From the likelihood map to Euclidean minimal sufficiency
the likelihood map Euclidean minimal sufficiency
2009/9/22
We use the minimal sufficiency of the likelihood map
(Fraser et al. 1911 to show the existence of a minimal sufficient statistic
with Euclidean range under weak regularity conditions, and to extend
...