Applications of Burr III- Weibull quantile function in reliability analysis
This paper introduces a new family of distributions defined in terms of quantile function. The quantile function introduced here is the sum of quantile functions of life time distributions called Burr III and Weibull. Different distributional characteristics and reliability properties are included i...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Taylor & Francis Group
2023-04-01
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| Series: | Statistical Theory and Related Fields |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1080/24754269.2023.2201096 |
| _version_ | 1797676999770112000 |
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| author | G. S. Deepthy Nicy Sebastian N. Chandra |
| author_facet | G. S. Deepthy Nicy Sebastian N. Chandra |
| author_sort | G. S. Deepthy |
| collection | DOAJ |
| description | This paper introduces a new family of distributions defined in terms of quantile function. The quantile function introduced here is the sum of quantile functions of life time distributions called Burr III and Weibull. Different distributional characteristics and reliability properties are included in the study. Method of Least Square and Method of L-moments are applied to estimate the parameters of the model. Two real life data sets are used to illustrate the performance of the model. |
| first_indexed | 2024-03-11T22:38:36Z |
| format | Article |
| id | doaj.art-3348ac7f72624943949e2cdc53a52a44 |
| institution | Directory Open Access Journal |
| issn | 2475-4269 2475-4277 |
| language | English |
| last_indexed | 2024-03-11T22:38:36Z |
| publishDate | 2023-04-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Statistical Theory and Related Fields |
| spelling | doaj.art-3348ac7f72624943949e2cdc53a52a442023-09-22T09:19:47ZengTaylor & Francis GroupStatistical Theory and Related Fields2475-42692475-42772023-04-010011310.1080/24754269.2023.22010962201096Applications of Burr III- Weibull quantile function in reliability analysisG. S. Deepthy0Nicy Sebastian1N. Chandra2Thrissur affiliated to University of CalicutThrissur affiliated to University of CalicutPondicherry UniversityThis paper introduces a new family of distributions defined in terms of quantile function. The quantile function introduced here is the sum of quantile functions of life time distributions called Burr III and Weibull. Different distributional characteristics and reliability properties are included in the study. Method of Least Square and Method of L-moments are applied to estimate the parameters of the model. Two real life data sets are used to illustrate the performance of the model.http://dx.doi.org/10.1080/24754269.2023.2201096weibull distributionburr iii distributionquantile density functionquantile functionhazard quantile functionl-moments |
| spellingShingle | G. S. Deepthy Nicy Sebastian N. Chandra Applications of Burr III- Weibull quantile function in reliability analysis Statistical Theory and Related Fields weibull distribution burr iii distribution quantile density function quantile function hazard quantile function l-moments |
| title | Applications of Burr III- Weibull quantile function in reliability analysis |
| title_full | Applications of Burr III- Weibull quantile function in reliability analysis |
| title_fullStr | Applications of Burr III- Weibull quantile function in reliability analysis |
| title_full_unstemmed | Applications of Burr III- Weibull quantile function in reliability analysis |
| title_short | Applications of Burr III- Weibull quantile function in reliability analysis |
| title_sort | applications of burr iii weibull quantile function in reliability analysis |
| topic | weibull distribution burr iii distribution quantile density function quantile function hazard quantile function l-moments |
| url | http://dx.doi.org/10.1080/24754269.2023.2201096 |
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