Modelling to Engineering Data: Using a New Two-Parameter Lifetime Model
A novel two-parameter continuous lifespan model is developed, based on a truncated Fréchet produced family of distributions known as the truncated Fréchet inverted Lindley distribution. It includes a thorough discussion of statistical features such as the quantile function, moments, order statistics...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/5256828 |
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| _version_ | 1832564071073841152 |
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| author | Mashail M. AL Sobhi |
| author_facet | Mashail M. AL Sobhi |
| author_sort | Mashail M. AL Sobhi |
| collection | DOAJ |
| description | A novel two-parameter continuous lifespan model is developed, based on a truncated Fréchet produced family of distributions known as the truncated Fréchet inverted Lindley distribution. It includes a thorough discussion of statistical features such as the quantile function, moments, order statistics, incomplete moments, and Lorenz and Bonferroni curves. The greatest likelihood approach for estimating population parameters is described. Finally, one real-world data set to application is utilized to demonstrate the new distribution’s utility. The data represent the tensile strength, measured in GPa, of 69 carbon fibers tested under tension at gauge lengths of 20 mm. |
| format | Article |
| id | doaj-art-996148bcf6b24abf971a21160d15b8c0 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-996148bcf6b24abf971a21160d15b8c02025-02-03T01:11:57ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/5256828Modelling to Engineering Data: Using a New Two-Parameter Lifetime ModelMashail M. AL Sobhi0Department of MathematicsA novel two-parameter continuous lifespan model is developed, based on a truncated Fréchet produced family of distributions known as the truncated Fréchet inverted Lindley distribution. It includes a thorough discussion of statistical features such as the quantile function, moments, order statistics, incomplete moments, and Lorenz and Bonferroni curves. The greatest likelihood approach for estimating population parameters is described. Finally, one real-world data set to application is utilized to demonstrate the new distribution’s utility. The data represent the tensile strength, measured in GPa, of 69 carbon fibers tested under tension at gauge lengths of 20 mm.http://dx.doi.org/10.1155/2022/5256828 |
| spellingShingle | Mashail M. AL Sobhi Modelling to Engineering Data: Using a New Two-Parameter Lifetime Model Journal of Function Spaces |
| title | Modelling to Engineering Data: Using a New Two-Parameter Lifetime Model |
| title_full | Modelling to Engineering Data: Using a New Two-Parameter Lifetime Model |
| title_fullStr | Modelling to Engineering Data: Using a New Two-Parameter Lifetime Model |
| title_full_unstemmed | Modelling to Engineering Data: Using a New Two-Parameter Lifetime Model |
| title_short | Modelling to Engineering Data: Using a New Two-Parameter Lifetime Model |
| title_sort | modelling to engineering data using a new two parameter lifetime model |
| url | http://dx.doi.org/10.1155/2022/5256828 |
| work_keys_str_mv | AT mashailmalsobhi modellingtoengineeringdatausinganewtwoparameterlifetimemodel |