A generalized likelihood-ratio test (GLRT) detector is derived for detecting a spacetime signal in the presence of unknown subspace interference and unknown target doppler. The near optimality and constant false alarm rate (CFAR) property of the GLRT is shown by the relationship to the uniformly most powerful invariant (UMPI) test using a simple approximation. Examples are presented comparing t...

Testing a scalar canonical parameter of an exponential model is widely based on the conditional distribution given the canonical variable for the nuisance parameter; this has the support of being uniformly most powerful similar and uniformly most powerful unbiased for given test size. Such testing optimality in turn gives support for the exact test with the 2× 2 table, and only occasionally is ...

We connect the power of Confidence Intervals in different Frequentist methods to their reliability. We show that in the case of a bounded parameter a biased method which near the boundary has large power in testing the parameter against larger alternatives and small power in testing the parameter against smaller alternatives is desirable. Considering the recently proposed methods with correct c...