ar X iv : 1 80 3 . 07 93 7 v 1 [ cs . I T ] 2 1 M ar 2 01 8 1 The Augustin Capacity and Center


The existence of a unique Augustin mean is established for any positive order and probability mass function on the input set. The Augustin mean is shown to be the unique fixed point of an operator defined in terms of the order and the input distribution. The Augustin information is shown to be continuously differentiable in the order. For any channel and… (More)


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