## “School of Mathematics”

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Paper   IPM / M / 104
School of Mathematics
Title:   From the likelihood map to Euclidean minimal sufficiency
Author(s):
 1 A. Naderi 2 P. McDunnough 3 A. Plante 4 D.A.S. Fraser
Status:   Published
Journal: Probab. Math. Statist.
Vol.:  17
Year:  1997
Pages:   223-230
Supported by:  IPM
Abstract:
We use the minimal sufficiency of the likelihood map (Fraser et al.[9]) to show the existence of a minimal sufficient statistic with Euclidean range under weak regularity conditions, and to extend a well-known theorem due to Barndorff-Nielsen et al.[2]. Examples of minimal sufficient statistics are given in problems having either a restricted parameter space or a truncated error distribution.