Calì, Camilla (2018) Past Lifetime and Inactivity Time: from Entropy to Coherent Systems. [Tesi di dottorato]

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Item Type: Tesi di dottorato
Lingua: English
Title: Past Lifetime and Inactivity Time: from Entropy to Coherent Systems
Creators:
CreatorsEmail
Calì, Camillacamilla.cali@unina.it
Date: 10 December 2018
Number of Pages: 110
Institution: Università degli Studi di Napoli Federico II
Department: Matematica e Applicazioni "Renato Caccioppoli"
Dottorato: Scienze matematiche e informatiche
Ciclo di dottorato: 31
Coordinatore del Corso di dottorato:
nomeemail
De Giovanni, FrancescoUNSPECIFIED
Tutor:
nomeemail
Longobardi, MariaUNSPECIFIED
Date: 10 December 2018
Number of Pages: 110
Uncontrolled Keywords: Past Entropy; Inactivity Time; Coherent Systems; Stochastic Orders; Reliability Theory.
Settori scientifico-disciplinari del MIUR: Area 01 - Scienze matematiche e informatiche > MAT/06 - Probabilità e statistica matematica
Date Deposited: 19 Dec 2018 09:16
Last Modified: 23 Jun 2020 09:54
URI: http://www.fedoa.unina.it/id/eprint/12609

Abstract

Information Theory was originally proposed by Claude Shannon in 1948 in the landmark paper entitled "A Mathematical Theory of Communication". In this paper the concept of entropy was adopted for the first time in a field other than thermodynamics and statistical mechanics. Since then, the interest in entropy has grown more and more and the current literature now focuses mainly on the analysis of residual lifetime. However, in recent years the interest has 'changed direction'. New notions of entropy have been introduced and are used to describe the past lifetime and the inactivity time of a given system or of a component that is found not to be working at the current time. Moreover inferences about the history of a system may be of interest in real life situations. So, the past lifetime and the inactivity time can also be analysed in the context of the theory of coherent systems.

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