Complete and sufficient statistic for normal distribution
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It is always true that the complete sample, X, is a sufficient statistic. 2. Any one-to-one function of a sufficient statistic is also a sufficient statistic. ... Definition 6.2.2 A sufficient statistic T(X) is called a minimal sufficient statistic if, for any other sufficient statistic T (X), T(x) is a function of T (x).
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