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EnglishThe cumulative entropy is an information measure which is alternative to the differential entropy and is connected with a notion in reliability theory. Indeed, the cumulative entropy of a random lifetime $X$ can be expressed as the expectation of its mean inactivity time evaluated at $X$. After a brief review of its main properties, in this paper we relate the cumulative entropy to the cumulative inaccuracy, and provide some inequalities based on suitable stochastic orderings. We also show a characterization property of the dynamic version of the cumulative entropy. In conclusion, a stochastic comparison between the empirical cumulative entropy and the empirical cumulative inaccuracy is investigated.
| Titolo: | Stochastic comparisons of cumulative entropies |
| Autori: | |
| Data di pubblicazione: | 2013 |
| Abstract: | The cumulative entropy is an information measure which is alternative to the differential entropy and is connected with a notion in reliability theory. Indeed, the cumulative entropy of a random lifetime $X$ can be expressed as the expectation of its mean inactivity time evaluated at $X$. After a brief review of its main properties, in this paper we relate the cumulative entropy to the cumulative inaccuracy, and provide some inequalities based on suitable stochastic orderings. We also show a characterization property of the dynamic version of the cumulative entropy. In conclusion, a stochastic comparison between the empirical cumulative entropy and the empirical cumulative inaccuracy is investigated. |
| Handle: | http://hdl.handle.net/11386/3990852 |
| ISBN: | 9781461468912 |
| Appare nelle tipologie: | 2.1.2 Articolo su libro con ISBN |
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