A characterization of a Cauchy family on the complex space
classification
🧮 math.ST
stat.TH
keywords
familycomplexspacegrouptransformationsunderaffinecauchy
read the original abstract
It is shown that a family of distributions on the complex space is characterized as the only family such that the orbit of one distribution under a certain group of transformations on the complex space is the same as that under the group of affine transformations. The resulting family is compared with some existing families.
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