Brown, Lawrence DMarden, John I2023-05-232023-05-2319922016-08-04https://repository.upenn.edu/handle/20.500.14332/47688In this paper we give necessary conditions and sufficient conditions for a test to be locally unbiased, we define local admissibility and we characterize local admissibility in hypothesis testing problems with simple null hypotheses. Applications are presented involving same-sign alternatives, ordered alternatives and independence testing of several variables.hypothesis testinglocal admissibilitylocal unbiasednessordered alternativeslinear regressionindependence of variatesOther Statistics and ProbabilityArticle