Abstract
Likelihood ratio tests of the null hypothesis that a parameter set is both unimodal and symmetric against the alternatives that it is unimodal but not symmetric and vice versa are studied. The parameter set could be multinomial, a set of normal means, or parameters indexing members of an exponential family. Null hypothesis distributions are found for these tests.
This research was sponsored by the Office of Naval Research under ONR contract N00014-80-C321.
AMS 1980 subject classifications: Primary 62F03; Secondary 62F04.
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© 1986 Springer-Verlag Berlin Heidelberg
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Robertson, T. (1986). On Testing Symmetry and Unimodality. In: Dykstra, R., Robertson, T., Wright, F.T. (eds) Advances in Order Restricted Statistical Inference. Lecture Notes in Statistics, vol 37. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-9940-7_12
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DOI: https://doi.org/10.1007/978-1-4613-9940-7_12
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