A Note on the Summability of the Entropy Series

@article{Keilson1971ANO,
  title={A Note on the Summability of the Entropy Series},
  author={Julian Keilson},
  journal={Information and Control},
  year={1971},
  volume={18},
  pages={257-260}
}
where p~ log p,~ is defined as 0 whenever Pn = 0 [see, for example, Feinstein (1958)]. The function H~ is a sum of nonnegative terms and consequently invariant under rearrangements of the terms. The probabilities p,~ may therefore be reordered so that they are monotonic decreasing (nonincreasing), to facilitate discussion of the finiteness of H , . All terms may also be assumed positive, for nontriviality. We hereafter confine attention to monotonic nonincreasing sequences of positive… CONTINUE READING
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