A Dynamic Failure Time Degradation-Based Model

A novel methodology for modelling time to failure of systems under a degradation process is proposed. Considering the method degradation may have influenced the failure of the system under the setup of the model several implied lifetime distributions are outlined. Hazard rate and mean residual lifet...

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Main Authors:	Abdulhakim A. Albabtain, Mansour Shrahili, Lolwa Alshagrawi, Mohamed Kayid
Format:	Article
Language:	English
Published:	MDPI AG 2020-09-01
Series:	Symmetry
Subjects:	degradation model aging failure time model copula function mean residual lifetime hazard rate
Online Access:	https://www.mdpi.com/2073-8994/12/9/1532

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spelling	doaj-6944d0532f22421ea3c55c188a4636d32020-11-25T03:34:20ZengMDPI AGSymmetry2073-89942020-09-01121532153210.3390/sym12091532A Dynamic Failure Time Degradation-Based ModelAbdulhakim A. Albabtain0Mansour Shrahili1Lolwa Alshagrawi2Mohamed Kayid3Department of Statistics and Operations Research, College of Science, King Saud University, Riyadh 11362, Saudi ArabiaDepartment of Statistics and Operations Research, College of Science, King Saud University, Riyadh 11362, Saudi ArabiaDepartment of Statistics and Operations Research, College of Science, King Saud University, Riyadh 11362, Saudi ArabiaDepartment of Statistics and Operations Research, College of Science, King Saud University, Riyadh 11362, Saudi ArabiaA novel methodology for modelling time to failure of systems under a degradation process is proposed. Considering the method degradation may have influenced the failure of the system under the setup of the model several implied lifetime distributions are outlined. Hazard rate and mean residual lifetime of the model are obtained and a numerical situation is delineated to calculate their amounts. The problem of modelling the amount of degradation at the failure time is also considered. Two monotonic aging properties of the model is secured and a characterization property of the symmetric degradation models is established.https://www.mdpi.com/2073-8994/12/9/1532degradation modelagingfailure time modelcopula functionmean residual lifetimehazard rate
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Abdulhakim A. Albabtain Mansour Shrahili Lolwa Alshagrawi Mohamed Kayid
spellingShingle	Abdulhakim A. Albabtain Mansour Shrahili Lolwa Alshagrawi Mohamed Kayid A Dynamic Failure Time Degradation-Based Model Symmetry degradation model aging failure time model copula function mean residual lifetime hazard rate
author_facet	Abdulhakim A. Albabtain Mansour Shrahili Lolwa Alshagrawi Mohamed Kayid
author_sort	Abdulhakim A. Albabtain
title	A Dynamic Failure Time Degradation-Based Model
title_short	A Dynamic Failure Time Degradation-Based Model
title_full	A Dynamic Failure Time Degradation-Based Model
title_fullStr	A Dynamic Failure Time Degradation-Based Model
title_full_unstemmed	A Dynamic Failure Time Degradation-Based Model
title_sort	dynamic failure time degradation-based model
publisher	MDPI AG
series	Symmetry
issn	2073-8994
publishDate	2020-09-01
description	A novel methodology for modelling time to failure of systems under a degradation process is proposed. Considering the method degradation may have influenced the failure of the system under the setup of the model several implied lifetime distributions are outlined. Hazard rate and mean residual lifetime of the model are obtained and a numerical situation is delineated to calculate their amounts. The problem of modelling the amount of degradation at the failure time is also considered. Two monotonic aging properties of the model is secured and a characterization property of the symmetric degradation models is established.
topic	degradation model aging failure time model copula function mean residual lifetime hazard rate
url	https://www.mdpi.com/2073-8994/12/9/1532
work_keys_str_mv	AT abdulhakimaalbabtain adynamicfailuretimedegradationbasedmodel AT mansourshrahili adynamicfailuretimedegradationbasedmodel AT lolwaalshagrawi adynamicfailuretimedegradationbasedmodel AT mohamedkayid adynamicfailuretimedegradationbasedmodel AT abdulhakimaalbabtain dynamicfailuretimedegradationbasedmodel AT mansourshrahili dynamicfailuretimedegradationbasedmodel AT lolwaalshagrawi dynamicfailuretimedegradationbasedmodel AT mohamedkayid dynamicfailuretimedegradationbasedmodel
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A Dynamic Failure Time Degradation-Based Model

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