“School of Mathematics”
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| Paper IPM / M / 104 |
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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.
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