Four-Parameter Weibull Distribution with Lower and Upper Limits Applicable in Reliability Studies and Materials Testing
A simply curved Weibull plot means that the studied data set has a three-parameter Weibull distribution with a non-zero location parameter representing the lower or the upper limit of the data set. This paper introduces a four-parameter Weibull distribution with both of these limits that can be appl...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-01-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/3/544 |
| _version_ | 1797623941574950912 |
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| author | Jan Kohout |
| author_facet | Jan Kohout |
| author_sort | Jan Kohout |
| collection | DOAJ |
| description | A simply curved Weibull plot means that the studied data set has a three-parameter Weibull distribution with a non-zero location parameter representing the lower or the upper limit of the data set. This paper introduces a four-parameter Weibull distribution with both of these limits that can be applied in both reliability and materials engineering. A very reliable indicator of this distribution is the double-curved Weibull plot. The great advantage of this distribution is the fact that the corresponding hazard rate curve can be bathtub-shaped with a great ability to fit the measured data. |
| first_indexed | 2024-03-11T09:35:54Z |
| format | Article |
| id | doaj.art-c963c8b50c234999a992044fb05a31f7 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-11T09:35:54Z |
| publishDate | 2023-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-c963c8b50c234999a992044fb05a31f72023-11-16T17:21:07ZengMDPI AGMathematics2227-73902023-01-0111354410.3390/math11030544Four-Parameter Weibull Distribution with Lower and Upper Limits Applicable in Reliability Studies and Materials TestingJan Kohout0Department of Mathematics and Physics, Military Technology Faculty, University of Defence, Kounicova 65, CZ-662 10 Brno, Czech RepublicA simply curved Weibull plot means that the studied data set has a three-parameter Weibull distribution with a non-zero location parameter representing the lower or the upper limit of the data set. This paper introduces a four-parameter Weibull distribution with both of these limits that can be applied in both reliability and materials engineering. A very reliable indicator of this distribution is the double-curved Weibull plot. The great advantage of this distribution is the fact that the corresponding hazard rate curve can be bathtub-shaped with a great ability to fit the measured data.https://www.mdpi.com/2227-7390/11/3/544Weibull distributioncurved Weibull plotreliabilitylifetimetime to breakdownbathtub-shaped hazard rate |
| spellingShingle | Jan Kohout Four-Parameter Weibull Distribution with Lower and Upper Limits Applicable in Reliability Studies and Materials Testing Mathematics Weibull distribution curved Weibull plot reliability lifetime time to breakdown bathtub-shaped hazard rate |
| title | Four-Parameter Weibull Distribution with Lower and Upper Limits Applicable in Reliability Studies and Materials Testing |
| title_full | Four-Parameter Weibull Distribution with Lower and Upper Limits Applicable in Reliability Studies and Materials Testing |
| title_fullStr | Four-Parameter Weibull Distribution with Lower and Upper Limits Applicable in Reliability Studies and Materials Testing |
| title_full_unstemmed | Four-Parameter Weibull Distribution with Lower and Upper Limits Applicable in Reliability Studies and Materials Testing |
| title_short | Four-Parameter Weibull Distribution with Lower and Upper Limits Applicable in Reliability Studies and Materials Testing |
| title_sort | four parameter weibull distribution with lower and upper limits applicable in reliability studies and materials testing |
| topic | Weibull distribution curved Weibull plot reliability lifetime time to breakdown bathtub-shaped hazard rate |
| url | https://www.mdpi.com/2227-7390/11/3/544 |
| work_keys_str_mv | AT jankohout fourparameterweibulldistributionwithlowerandupperlimitsapplicableinreliabilitystudiesandmaterialstesting |