INADMISSIBILITY OF VARIOUS 'GOOD' STATISTICAL PROCEDURES WHICH ARE TRANSLATION INVARIANT.
Abstract
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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 31, 1967
- Accession Number
- AD0657463
Entities
People
- Shian-koong Perng
Organizations
- Michigan State University