Kernel-based Estimation of Ageing Intensity Function: Properties and Applications
The notion of ageing plays an important role in reliability and survival analysis as it is an inherent property of all systems and products. Jiang, Ji, and Xiao (2003) proposed a new quantitative measure, known as ageing intensity (AI) function, an alternative measure to study the ageing pattern of...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Austrian Statistical Society
2023-09-01
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| Series: | Austrian Journal of Statistics |
| Online Access: | https://www.ajs.or.at/index.php/ajs/article/view/1497 |
| _version_ | 1797635552453853184 |
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| author | R S Rasin S M Sunoj Rakesh Poduval |
| author_facet | R S Rasin S M Sunoj Rakesh Poduval |
| author_sort | R S Rasin |
| collection | DOAJ |
| description |
The notion of ageing plays an important role in reliability and survival analysis as it is an inherent property of all systems and products. Jiang, Ji, and Xiao (2003) proposed a new quantitative measure, known as ageing intensity (AI) function, an alternative measure
to study the ageing pattern of probability models. In this paper, we propose a nonparametric estimator for ageing intensity function. Asymptotic properties of the estimator are established under suitable regularity conditions. A set of simulation studies are carried
out based on various probability models to examine the performance of estimator and to establish its efficiency over the classical estimator. The usefulness of the estimator is also examined through a real data set.
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| first_indexed | 2024-03-11T12:22:23Z |
| format | Article |
| id | doaj.art-092145d5a4f24f8ea622f143574ffba8 |
| institution | Directory Open Access Journal |
| issn | 1026-597X |
| language | English |
| last_indexed | 2024-03-11T12:22:23Z |
| publishDate | 2023-09-01 |
| publisher | Austrian Statistical Society |
| record_format | Article |
| series | Austrian Journal of Statistics |
| spelling | doaj.art-092145d5a4f24f8ea622f143574ffba82023-11-06T19:34:06ZengAustrian Statistical SocietyAustrian Journal of Statistics1026-597X2023-09-0152510.17713/ajs.v52i5.1497Kernel-based Estimation of Ageing Intensity Function: Properties and ApplicationsR S Rasin0S M Sunoj1Rakesh Poduval2Cochin Unvierstiy of Science and Technology, Kochi, Kerala, IndiaCochin Unvicersity of Sceience and Technology, Kochi, Kerala, IndiaMMO Information Technology PVT. LTD. 6/405-1, Cochin 682021, Kerala, India The notion of ageing plays an important role in reliability and survival analysis as it is an inherent property of all systems and products. Jiang, Ji, and Xiao (2003) proposed a new quantitative measure, known as ageing intensity (AI) function, an alternative measure to study the ageing pattern of probability models. In this paper, we propose a nonparametric estimator for ageing intensity function. Asymptotic properties of the estimator are established under suitable regularity conditions. A set of simulation studies are carried out based on various probability models to examine the performance of estimator and to establish its efficiency over the classical estimator. The usefulness of the estimator is also examined through a real data set. https://www.ajs.or.at/index.php/ajs/article/view/1497 |
| spellingShingle | R S Rasin S M Sunoj Rakesh Poduval Kernel-based Estimation of Ageing Intensity Function: Properties and Applications Austrian Journal of Statistics |
| title | Kernel-based Estimation of Ageing Intensity Function: Properties and Applications |
| title_full | Kernel-based Estimation of Ageing Intensity Function: Properties and Applications |
| title_fullStr | Kernel-based Estimation of Ageing Intensity Function: Properties and Applications |
| title_full_unstemmed | Kernel-based Estimation of Ageing Intensity Function: Properties and Applications |
| title_short | Kernel-based Estimation of Ageing Intensity Function: Properties and Applications |
| title_sort | kernel based estimation of ageing intensity function properties and applications |
| url | https://www.ajs.or.at/index.php/ajs/article/view/1497 |
| work_keys_str_mv | AT rsrasin kernelbasedestimationofageingintensityfunctionpropertiesandapplications AT smsunoj kernelbasedestimationofageingintensityfunctionpropertiesandapplications AT rakeshpoduval kernelbasedestimationofageingintensityfunctionpropertiesandapplications |