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On parameter orthogonality to the mean
Authors:W Hürlimann
Institution:1. Werdstr. 7, CH-8405, Winterthur, Switzerland
Abstract:The existence of orthogonal parameters to the mean is characterized by a partial differential equation involving the mean, the variance and the cumulant generating function. This condition allows to explain and construct orthogonal parametrizations in several cases of interest, including higher parametric ones.
Keywords:parameter orthogonality  maximum likelihood estimation  cumulant generating function
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