Dynamic Information Volatility Function

Liu (2007) discussed a new measure, known as the information volatility function to study the variability of the uncertainty contained in a probability distribution. In the present paper, we extend this concept to the residual random variable, a dynamic information volatility function and study its...

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Main Authors: Rajesh Ganapathi, Sreenarayanapurath Madhavan Sunoj, Paduthol Godan Sankaran
Format: Article
Language:English
Published: University of Bologna 2021-01-01
Series:Statistica
Subjects:
Online Access:https://rivista-statistica.unibo.it/article/view/8748
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author Rajesh Ganapathi
Sreenarayanapurath Madhavan Sunoj
Paduthol Godan Sankaran
author_facet Rajesh Ganapathi
Sreenarayanapurath Madhavan Sunoj
Paduthol Godan Sankaran
author_sort Rajesh Ganapathi
collection DOAJ
description Liu (2007) discussed a new measure, known as the information volatility function to study the variability of the uncertainty contained in a probability distribution. In the present paper, we extend this concept to the residual random variable, a dynamic information volatility function and study its usefulness in reliability modelling. Different ageing and characterization properties of dynamic information volatility function are also derived.
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spelling doaj.art-0fa57511bbc145ea8045cfcee020501c2022-12-21T22:41:12ZengUniversity of BolognaStatistica0390-590X1973-22012021-01-0180323324310.6092/issn.1973-2201/87487397Dynamic Information Volatility FunctionRajesh Ganapathi0Sreenarayanapurath Madhavan Sunoj1https://orcid.org/0000-0002-6227-1506Paduthol Godan Sankaran2Cochin University of Science and TechnologyCochin University of Science and TechnologyCochin University of Science and TechnologyLiu (2007) discussed a new measure, known as the information volatility function to study the variability of the uncertainty contained in a probability distribution. In the present paper, we extend this concept to the residual random variable, a dynamic information volatility function and study its usefulness in reliability modelling. Different ageing and characterization properties of dynamic information volatility function are also derived.https://rivista-statistica.unibo.it/article/view/8748shannon entropyinformation volatityreliability measuresstochastic orderscharacterization
spellingShingle Rajesh Ganapathi
Sreenarayanapurath Madhavan Sunoj
Paduthol Godan Sankaran
Dynamic Information Volatility Function
Statistica
shannon entropy
information volatity
reliability measures
stochastic orders
characterization
title Dynamic Information Volatility Function
title_full Dynamic Information Volatility Function
title_fullStr Dynamic Information Volatility Function
title_full_unstemmed Dynamic Information Volatility Function
title_short Dynamic Information Volatility Function
title_sort dynamic information volatility function
topic shannon entropy
information volatity
reliability measures
stochastic orders
characterization
url https://rivista-statistica.unibo.it/article/view/8748
work_keys_str_mv AT rajeshganapathi dynamicinformationvolatilityfunction
AT sreenarayanapurathmadhavansunoj dynamicinformationvolatilityfunction
AT padutholgodansankaran dynamicinformationvolatilityfunction