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Accession Number:
ADA056344
Title:
A Note on Ancillarity and Independence via Model-Preserving Transformations.
Corporate Author:
MINNESOTA UNIV MINNEAPOLIS DEPT OF THEORETICAL STATISTICS
Report Date:
1978-05-01
Abstract:
Let G be a compact group of transformations which preserves a family rho of probability measures. Let T be a statistic such that its space Tau is a G-space. If T is equivariant and G is transitive on Tau then T is ancillary for rho and distributed independently of a maximal G-invariant statistic T which also happens to be sufficient for rho. This result in then extended to a group G satisfying the Hunt-Stein Condition.
Descriptive Note:
Technical rept.,
Pages:
0012
Contract Number:
DAAG29-76-G-0038
File Size:
4.01MB