UMP unbiased tests for multiparameter testing problems with restricted alternatives |
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Authors: | Rolf Aaberge |
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Institution: | (1) Research Department, Statistics Norway, P.O.Box 8131 Dep., N-0033 Oslo, Norway (e-mail: rolf.aaberge@ssb.no), NO |
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Abstract: | Applications of the standard theory of UMP unbiased tests depends on conditions which in general are difficult to verify.
In the present paper, however, we suggest more simple rules for applying this theory for regular exponential families of distributions.
This approach leads to UMP unbiased tests for various multiparameter testing problems with restricted alternatives, and is
shown to give justification for conditional tests for testing symmetry, diagonals-parameter symmetry and independence in two-way
contingency tables. The derived tests are shown to possess attractive small sample properties.
Received: June 1998 |
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Keywords: | : Exponential families of distributions UMP unbiased tests exact conditional tests independence and symmetry in contingency tables |
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