An Additive Chen Distribution with Applications to Lifetime Data
This paper presents a lifetime model with properties representing increasing, decreasing, and bathtub curve shapes for failure rates. The proposed model was built based on the additive methodology, for which the Chen distribution was used as the base model, thus introducing the Additive Chen Distrib...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-01-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/12/2/118 |
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| author | Luis Carlos Méndez-González Luis Alberto Rodríguez-Picón Ivan Juan Carlos Pérez-Olguín Luis Ricardo Vidal Portilla |
| author_facet | Luis Carlos Méndez-González Luis Alberto Rodríguez-Picón Ivan Juan Carlos Pérez-Olguín Luis Ricardo Vidal Portilla |
| author_sort | Luis Carlos Méndez-González |
| collection | DOAJ |
| description | This paper presents a lifetime model with properties representing increasing, decreasing, and bathtub curve shapes for failure rates. The proposed model was built based on the additive methodology, for which the Chen distribution was used as the base model, thus introducing the Additive Chen Distribution (AddC). An essential feature of AddC is this model’s excellent flexibility in describing failure rates with non-monotonic behavior or with the shape of a bathtub curve concerning other current models. Statistical properties of AddC are presented and analyzed for different fields of study. For the estimation of AddC’s parameters, the maximum likelihood method (MLE) was used. Three case studies in different fields of application are presented, from which AddC is compared against other probability distributions with similar properties. The results show that AddC offers competitive results. |
| first_indexed | 2024-03-11T09:10:30Z |
| format | Article |
| id | doaj.art-e03f45cca5d546aab8152d21cf680312 |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-11T09:10:30Z |
| publishDate | 2023-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-e03f45cca5d546aab8152d21cf6803122023-11-16T19:05:30ZengMDPI AGAxioms2075-16802023-01-0112211810.3390/axioms12020118An Additive Chen Distribution with Applications to Lifetime DataLuis Carlos Méndez-González0Luis Alberto Rodríguez-Picón1Ivan Juan Carlos Pérez-Olguín2Luis Ricardo Vidal Portilla3Department of Industrial Engineering and Manufacturing, Autonomous University of Ciudad Juárez, Av. del Charro no. 450 Nte. Col. Partido Romero, Ciudad Juárez 32310, MexicoDepartment of Industrial Engineering and Manufacturing, Autonomous University of Ciudad Juárez, Av. del Charro no. 450 Nte. Col. Partido Romero, Ciudad Juárez 32310, MexicoDepartment of Industrial Engineering and Manufacturing, Autonomous University of Ciudad Juárez, Av. del Charro no. 450 Nte. Col. Partido Romero, Ciudad Juárez 32310, MexicoDepartment of Industrial Engineering and Manufacturing, Autonomous University of Ciudad Juárez, Av. del Charro no. 450 Nte. Col. Partido Romero, Ciudad Juárez 32310, MexicoThis paper presents a lifetime model with properties representing increasing, decreasing, and bathtub curve shapes for failure rates. The proposed model was built based on the additive methodology, for which the Chen distribution was used as the base model, thus introducing the Additive Chen Distribution (AddC). An essential feature of AddC is this model’s excellent flexibility in describing failure rates with non-monotonic behavior or with the shape of a bathtub curve concerning other current models. Statistical properties of AddC are presented and analyzed for different fields of study. For the estimation of AddC’s parameters, the maximum likelihood method (MLE) was used. Three case studies in different fields of application are presented, from which AddC is compared against other probability distributions with similar properties. The results show that AddC offers competitive results.https://www.mdpi.com/2075-1680/12/2/118Additive Chen Distributionbathtub distributionChen distributionlifetime data analysisnon-monotone failure rate |
| spellingShingle | Luis Carlos Méndez-González Luis Alberto Rodríguez-Picón Ivan Juan Carlos Pérez-Olguín Luis Ricardo Vidal Portilla An Additive Chen Distribution with Applications to Lifetime Data Axioms Additive Chen Distribution bathtub distribution Chen distribution lifetime data analysis non-monotone failure rate |
| title | An Additive Chen Distribution with Applications to Lifetime Data |
| title_full | An Additive Chen Distribution with Applications to Lifetime Data |
| title_fullStr | An Additive Chen Distribution with Applications to Lifetime Data |
| title_full_unstemmed | An Additive Chen Distribution with Applications to Lifetime Data |
| title_short | An Additive Chen Distribution with Applications to Lifetime Data |
| title_sort | additive chen distribution with applications to lifetime data |
| topic | Additive Chen Distribution bathtub distribution Chen distribution lifetime data analysis non-monotone failure rate |
| url | https://www.mdpi.com/2075-1680/12/2/118 |
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