The cumulative entropy is an information measure which is alternative to the differential entropy. Indeed, the cumulative entropy of a random lifetime X can be expressed as the expectation of its mean inactivity time evaluated at X. In this paper we propose a new generalized cumulative entropy based on Tsallis entropy (CTE) and its dynamic version (DCTE). We study some properties and characterization results for this measure.

Some properties of cumulative Tsallis entropy / Cali', Camilla; Longobardi, Maria; Jafar, Ahmadi. - In: PHYSICA. A. - ISSN 0378-4371. - 486:(2017), pp. 1012-1021. [10.1016/j.physa.2017.05.063]

Some properties of cumulative Tsallis entropy

CALI', CAMILLA;LONGOBARDI, MARIA;
2017

Abstract

The cumulative entropy is an information measure which is alternative to the differential entropy. Indeed, the cumulative entropy of a random lifetime X can be expressed as the expectation of its mean inactivity time evaluated at X. In this paper we propose a new generalized cumulative entropy based on Tsallis entropy (CTE) and its dynamic version (DCTE). We study some properties and characterization results for this measure.
2017
Some properties of cumulative Tsallis entropy / Cali', Camilla; Longobardi, Maria; Jafar, Ahmadi. - In: PHYSICA. A. - ISSN 0378-4371. - 486:(2017), pp. 1012-1021. [10.1016/j.physa.2017.05.063]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/683334
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