On Generalized Transmuted Lifetime Distribution
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866914802590285824 |
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| author | Pandey, Alok Kumar Ali, Alam Pathak, Ashok Kumar |
| author_facet | Pandey, Alok Kumar Ali, Alam Pathak, Ashok Kumar |
| contents | This article presents a new class of generalized transmuted lifetime distributions which includes a large number of lifetime distributions as sub-family. Several important mathematical quantities such as density function, distribution function, quantile function, moments, moment generating function, stress-strength reliability function, order statistics, Rényi and q-entropy, residual and reversed residual life function, and cumulative information generating function are obtained. The methods of maximum likelihood, ordinary least square, weighted least square, Cramér-von Mises, Anderson Darling, and Right-tail Anderson Darling are considered to estimate the model parameters in a general way. Further, a well-organized Monte Carlo simulation experiments have been performed to observe the behavior of the estimators. Finally, two real data have also been analyzed to demonstrate the effectiveness of the proposed distribution in real-life modeling. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_11624 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On Generalized Transmuted Lifetime Distribution Pandey, Alok Kumar Ali, Alam Pathak, Ashok Kumar Methodology Statistics Theory 60E05, 62F10, 62E15, 65C05, 33B20 This article presents a new class of generalized transmuted lifetime distributions which includes a large number of lifetime distributions as sub-family. Several important mathematical quantities such as density function, distribution function, quantile function, moments, moment generating function, stress-strength reliability function, order statistics, Rényi and q-entropy, residual and reversed residual life function, and cumulative information generating function are obtained. The methods of maximum likelihood, ordinary least square, weighted least square, Cramér-von Mises, Anderson Darling, and Right-tail Anderson Darling are considered to estimate the model parameters in a general way. Further, a well-organized Monte Carlo simulation experiments have been performed to observe the behavior of the estimators. Finally, two real data have also been analyzed to demonstrate the effectiveness of the proposed distribution in real-life modeling. |
| title | On Generalized Transmuted Lifetime Distribution |
| topic | Methodology Statistics Theory 60E05, 62F10, 62E15, 65C05, 33B20 |
| url | https://arxiv.org/abs/2405.11624 |