Sine-Weibull Geometric Mixture and Nonmixture Cure Rate Models with Applications to Lifetime Data
In this study, two new distributions are developed by compounding Sine-Weibull and zero-truncated geometric distributions. The quantile and ordinary moments of the distributions are obtained. Plots of the hazard rate functions of the distributions show that the distributions exhibit nonmonotonic fai...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2022/1798278 |
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| _version_ | 1850159850285170688 |
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| author | Irene Dekomwine Angbing Suleman Nasiru Dioggban Jakperik |
| author_facet | Irene Dekomwine Angbing Suleman Nasiru Dioggban Jakperik |
| author_sort | Irene Dekomwine Angbing |
| collection | DOAJ |
| description | In this study, two new distributions are developed by compounding Sine-Weibull and zero-truncated geometric distributions. The quantile and ordinary moments of the distributions are obtained. Plots of the hazard rate functions of the distributions show that the distributions exhibit nonmonotonic failure rates. Also, plots of the densities of the distributions show that they exhibit decreasing, skewed, and approximately symmetric shapes, among others. Mixture and nonmixture cure rate models based on these distributions are also developed. The estimators of the parameters of the cure rate models are shown to be consistent via simulation studies. Covariates are introduced into the cure rate models via the logit link function. Finally, the performance of the distributions and the cure rate and regression models is demonstrated using real datasets. The results show that the developed distributions can serve as alternatives to existing models for survival data analyses. |
| format | Article |
| id | doaj-art-b5d28caa91094a019aa4314c9a1832c3 |
| institution | OA Journals |
| issn | 1687-0425 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-b5d28caa91094a019aa4314c9a1832c32025-08-20T02:23:22ZengWileyInternational Journal of Mathematics and Mathematical Sciences1687-04252022-01-01202210.1155/2022/1798278Sine-Weibull Geometric Mixture and Nonmixture Cure Rate Models with Applications to Lifetime DataIrene Dekomwine Angbing0Suleman Nasiru1Dioggban Jakperik2Department of StatisticsDepartment of StatisticsDepartment of StatisticsIn this study, two new distributions are developed by compounding Sine-Weibull and zero-truncated geometric distributions. The quantile and ordinary moments of the distributions are obtained. Plots of the hazard rate functions of the distributions show that the distributions exhibit nonmonotonic failure rates. Also, plots of the densities of the distributions show that they exhibit decreasing, skewed, and approximately symmetric shapes, among others. Mixture and nonmixture cure rate models based on these distributions are also developed. The estimators of the parameters of the cure rate models are shown to be consistent via simulation studies. Covariates are introduced into the cure rate models via the logit link function. Finally, the performance of the distributions and the cure rate and regression models is demonstrated using real datasets. The results show that the developed distributions can serve as alternatives to existing models for survival data analyses.http://dx.doi.org/10.1155/2022/1798278 |
| spellingShingle | Irene Dekomwine Angbing Suleman Nasiru Dioggban Jakperik Sine-Weibull Geometric Mixture and Nonmixture Cure Rate Models with Applications to Lifetime Data International Journal of Mathematics and Mathematical Sciences |
| title | Sine-Weibull Geometric Mixture and Nonmixture Cure Rate Models with Applications to Lifetime Data |
| title_full | Sine-Weibull Geometric Mixture and Nonmixture Cure Rate Models with Applications to Lifetime Data |
| title_fullStr | Sine-Weibull Geometric Mixture and Nonmixture Cure Rate Models with Applications to Lifetime Data |
| title_full_unstemmed | Sine-Weibull Geometric Mixture and Nonmixture Cure Rate Models with Applications to Lifetime Data |
| title_short | Sine-Weibull Geometric Mixture and Nonmixture Cure Rate Models with Applications to Lifetime Data |
| title_sort | sine weibull geometric mixture and nonmixture cure rate models with applications to lifetime data |
| url | http://dx.doi.org/10.1155/2022/1798278 |
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