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...
Main Authors: | , , |
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Format: | Article |
Language: | English |
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University of Bologna
2021-01-01
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Series: | Statistica |
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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. |
first_indexed | 2024-12-16T06:18:44Z |
format | Article |
id | doaj.art-0fa57511bbc145ea8045cfcee020501c |
institution | Directory Open Access Journal |
issn | 0390-590X 1973-2201 |
language | English |
last_indexed | 2024-12-16T06:18:44Z |
publishDate | 2021-01-01 |
publisher | University of Bologna |
record_format | Article |
series | Statistica |
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 |