The linearly decreasing stress Weibull (LDSWeibull): a new Weibull-like distribution

Abstract Motivated by an engineering pullout test applied to a steel strip embedded in earth, we show how the resulting linearly decreasing force leads naturally to a new distribution, if the force under constant stress is modeled via a three-parameter Weibull. We term this the LDSWeibull distributi...

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Main Authors: Roger W. Barnard, Chamila Perera, James G. Surles, A. Alexandre Trindade
Format: Article
Language:English
Published: SpringerOpen 2019-08-01
Series:Journal of Statistical Distributions and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s40488-019-0100-8
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spelling doaj-ed1ab1f71f4b4901bf84ce13140649212020-11-25T03:35:24ZengSpringerOpenJournal of Statistical Distributions and Applications2195-58322019-08-016112110.1186/s40488-019-0100-8The linearly decreasing stress Weibull (LDSWeibull): a new Weibull-like distributionRoger W. Barnard0Chamila Perera1James G. Surles2A. Alexandre Trindade3Texas Tech University, Department of Mathematics & StatisticsTexas Tech University, Department of Mathematics & StatisticsTexas Tech University, Department of Mathematics & StatisticsTexas Tech University, Department of Mathematics & StatisticsAbstract Motivated by an engineering pullout test applied to a steel strip embedded in earth, we show how the resulting linearly decreasing force leads naturally to a new distribution, if the force under constant stress is modeled via a three-parameter Weibull. We term this the LDSWeibull distribution, and show that inference on the parameters of the underlying Weibull can be made upon collection of data from such pullout tests. Various classical finite-sample and asymptotic properties of the LDSWeibull are studied, including existence of moments, distribution of extremes, and maximum likelihood based inference under different regimes. The LDSWeibull is shown to have many similarities with the Weibull, but does not suffer from the problem of having an unbounded likelihood function under certain parameter configurations. We demonstrate that the quality of its fit can also be very competitive with that of the Weibull in certain applications.http://link.springer.com/article/10.1186/s40488-019-0100-8Pullout testReliabilityExtreme valuesMaximum likelihood estimateWind speed data
collection DOAJ
language English
format Article
sources DOAJ
author Roger W. Barnard
Chamila Perera
James G. Surles
A. Alexandre Trindade
spellingShingle Roger W. Barnard
Chamila Perera
James G. Surles
A. Alexandre Trindade
The linearly decreasing stress Weibull (LDSWeibull): a new Weibull-like distribution
Journal of Statistical Distributions and Applications
Pullout test
Reliability
Extreme values
Maximum likelihood estimate
Wind speed data
author_facet Roger W. Barnard
Chamila Perera
James G. Surles
A. Alexandre Trindade
author_sort Roger W. Barnard
title The linearly decreasing stress Weibull (LDSWeibull): a new Weibull-like distribution
title_short The linearly decreasing stress Weibull (LDSWeibull): a new Weibull-like distribution
title_full The linearly decreasing stress Weibull (LDSWeibull): a new Weibull-like distribution
title_fullStr The linearly decreasing stress Weibull (LDSWeibull): a new Weibull-like distribution
title_full_unstemmed The linearly decreasing stress Weibull (LDSWeibull): a new Weibull-like distribution
title_sort linearly decreasing stress weibull (ldsweibull): a new weibull-like distribution
publisher SpringerOpen
series Journal of Statistical Distributions and Applications
issn 2195-5832
publishDate 2019-08-01
description Abstract Motivated by an engineering pullout test applied to a steel strip embedded in earth, we show how the resulting linearly decreasing force leads naturally to a new distribution, if the force under constant stress is modeled via a three-parameter Weibull. We term this the LDSWeibull distribution, and show that inference on the parameters of the underlying Weibull can be made upon collection of data from such pullout tests. Various classical finite-sample and asymptotic properties of the LDSWeibull are studied, including existence of moments, distribution of extremes, and maximum likelihood based inference under different regimes. The LDSWeibull is shown to have many similarities with the Weibull, but does not suffer from the problem of having an unbounded likelihood function under certain parameter configurations. We demonstrate that the quality of its fit can also be very competitive with that of the Weibull in certain applications.
topic Pullout test
Reliability
Extreme values
Maximum likelihood estimate
Wind speed data
url http://link.springer.com/article/10.1186/s40488-019-0100-8
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