Highly Influenced

# 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} }

- Published 1971 in Information and Control
DOI:10.1016/S0019-9958(71)90400-1

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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