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Improved Tests for an Ordered Hypothesis in one Parameter Exponential Families

1993 ◽  
Vol 43 (1-2) ◽  
pp. 57-64
Author(s):  
Teng Li
Keyword(s):  
Likelihood Ratio ◽  
Likelihood Ratio Test ◽  
Null Hypothesis ◽  
Alternative Hypothesis ◽  
Subject Classification ◽  
Exponential Families ◽  
Ratio Test ◽  
Primary 62F03 ◽  
Special Cases

We consider m independent one parameter exponential families with parameters (θ1, θ2,  , θ m), and the alternative hypothesis [Formula: see text] where [Formula: see text] are specified. The null hypothesis Ho is the complement of H1. A class of tests more powerful than the likelihood ratio test (LRT) is derived. Applications to two special cases, Binomial and Poisson, are indicated. AMS 1980 Subject Classification: Primary 62F03

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