Modelling to Engineering Data Using a New Class of Continuous Models
In this paper, a new flexible generator of continuous lifespan models referred to as the Topp-Leone Weibull G (TLWG) family is developed and studied. Several mathematical characteristics have been investigated. The new hazard rate of the new model can be “monotonically increasing,” “monotonically de...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/1148618 |
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| _version_ | 1832553658243350528 |
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| author | I. Elbatal Naif Alotaibi |
| author_facet | I. Elbatal Naif Alotaibi |
| author_sort | I. Elbatal |
| collection | DOAJ |
| description | In this paper, a new flexible generator of continuous lifespan models referred to as the Topp-Leone Weibull G (TLWG) family is developed and studied. Several mathematical characteristics have been investigated. The new hazard rate of the new model can be “monotonically increasing,” “monotonically decreasing,” “bathtub,” and “J shape.” The Farlie Gumbel Morgenstern (FGM) and the modified FGM (MFGM) families and Clayton Copula (CCO) are used to describe and display simple type Copula. We discuss the estimation of the model parameters by the maximum likelihood (MLL) estimations. Simulations are carried out to show the consistency and efficiency of parameter estimates, and finally, real data sets are used to demonstrate the flexibility and potential usefulness of the proposed family of algorithms by using the TLW exponential model as example of the new suggested family. |
| format | Article |
| id | doaj-art-09d594a5740a4d8abaf6685dfeb79a79 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-09d594a5740a4d8abaf6685dfeb79a792025-02-03T05:53:26ZengWileyJournal of Function Spaces2314-88882021-01-01202110.1155/2021/1148618Modelling to Engineering Data Using a New Class of Continuous ModelsI. Elbatal0Naif Alotaibi1Department of Mathematics and Statistics-College of ScienceDepartment of Mathematics and Statistics-College of ScienceIn this paper, a new flexible generator of continuous lifespan models referred to as the Topp-Leone Weibull G (TLWG) family is developed and studied. Several mathematical characteristics have been investigated. The new hazard rate of the new model can be “monotonically increasing,” “monotonically decreasing,” “bathtub,” and “J shape.” The Farlie Gumbel Morgenstern (FGM) and the modified FGM (MFGM) families and Clayton Copula (CCO) are used to describe and display simple type Copula. We discuss the estimation of the model parameters by the maximum likelihood (MLL) estimations. Simulations are carried out to show the consistency and efficiency of parameter estimates, and finally, real data sets are used to demonstrate the flexibility and potential usefulness of the proposed family of algorithms by using the TLW exponential model as example of the new suggested family.http://dx.doi.org/10.1155/2021/1148618 |
| spellingShingle | I. Elbatal Naif Alotaibi Modelling to Engineering Data Using a New Class of Continuous Models Journal of Function Spaces |
| title | Modelling to Engineering Data Using a New Class of Continuous Models |
| title_full | Modelling to Engineering Data Using a New Class of Continuous Models |
| title_fullStr | Modelling to Engineering Data Using a New Class of Continuous Models |
| title_full_unstemmed | Modelling to Engineering Data Using a New Class of Continuous Models |
| title_short | Modelling to Engineering Data Using a New Class of Continuous Models |
| title_sort | modelling to engineering data using a new class of continuous models |
| url | http://dx.doi.org/10.1155/2021/1148618 |
| work_keys_str_mv | AT ielbatal modellingtoengineeringdatausinganewclassofcontinuousmodels AT naifalotaibi modellingtoengineeringdatausinganewclassofcontinuousmodels |