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On Two Conditional Entropies without Probability

Doretta Vivona, Maria Divari

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Abstract

We generalize the conditional entropy without probability given by Benvenuti in [1] and we recognize that this form is the most general compatible with the given properties. Then we compare our form of conditional entropy given in [4] with Benvenuti’s one.

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What this paper is about

We generalize the conditional entropy without probability given by Benvenuti in [1] and we recognize that this form is the most general compatible with the given properties. Then we compare our form of conditional entropy given in [4] with Benvenuti’s one.

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Available abstract

We generalize the conditional entropy without probability given by Benvenuti in [1] and we recognize that this form is the most general compatible with the given properties. Then we compare our form of conditional entropy given in [4] with Benvenuti’s one.

Key concepts: Conditional entropy, Regular conditional probability, Chain rule (probability), Conditional probability, Mathematics, Entropy (arrow of time), Conditional probability distribution, Conditional variance

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