INADMISSIBILITY OF VARIOUS 'GOOD' STATISTICAL PROCEDURES WHICH ARE TRANSLATION INVARIANT.
MICHIGAN STATE UNIV EAST LANSING DEPT OF STATISTICS
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The purpose of this thesis is to try to show that certain moment conditions are essential for the admissibility of various good translation invariant statistical procedures. Section 3 indicates the inadmissibility of a unique best translation invariant estimate if a certain moment condition fails to be satisfied. Section 4 and 5 shows, by example, the inadmissibility of a best translation invariant test if either the test is non-unique or certain moment conditions fail to hold. Section 6 shows, by example, that a certain translation invariant confidence interval is inadmissible if a certain moment condition fails to hold.
- Statistics and Probability