Abstract
We investigate the variation of Shannon information and channel capacity, when the statistics go through a family of contaminated-Gaussian laws, called QN-laws. There are results which allow one to decide when a joint QN-law has margins belonging to the same class, formulas for Shannon information in the latter case, and also for a channel adding independent noise, with statistics belonging to the QN-law class. Finally, there is a study of the structure of the channel capacity problem in the latter case.
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