SURVIVAL ANALYSIS OF AREA BIASED GENERALIZED SAULEH DISTRIBUTION WITH STATISTICAL PROPERTIES AND APPLICATIONS.
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| Title: | SURVIVAL ANALYSIS OF AREA BIASED GENERALIZED SAULEH DISTRIBUTION WITH STATISTICAL PROPERTIES AND APPLICATIONS. |
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| Authors: | Arulmozhi, V.1 arulmozhiv16@gmail.com, Sivaranjani, R.2 sivaranjani160692@gmail.com, Poovizhi, K.3 poovizhimsc2016@gmail.com |
| Source: | Reliability: Theory & Applications. Dec2025, Vol. 20 Issue 4, p895-904. 10p. |
| Subjects: | Survival analysis (Biometry), Hazard function (Statistics), Parameter estimation, Maximum likelihood statistics, Overall survival, Statistical measurement, Distribution (Probability theory), Reliability in engineering |
| Abstract: | The "Sauleh distribution" is a novel lifespan distribution that is suggested by this study. Among the statistical and mathematical features that have been discussed are the PDF and CDF. Numerous helpful statistical features are derived, including the Area Biased Generalized Sauleh distribution's hazard rate function, reverse hazard rate function, order statistics, moments, measure of skewness, and measure of kurtosis. It uses the well-known maximum likelihood outcome approach to estimate the parameter of the distribution. To demonstrate this distribution's adaptability and superiority over alternative distributions, a comparative analysis is conducted in the end. It establishes its significance in reliability engineering by producing a rich class of distributions that may capture various shapes and behaviors and, as a result, enable better fitting to empirical data. Real-world data sets are used to establish the use of this novel distribution. Melanoma patient survival data has demonstrated the effectiveness of the proposed distribution; it is concluded that the produced distribution provides a superior fit. [ABSTRACT FROM AUTHOR] |
| Copyright of Reliability: Theory & Applications is the property of International Group on Reliability and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Links: – Type: pdflink Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 190594014 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: SURVIVAL ANALYSIS OF AREA BIASED GENERALIZED SAULEH DISTRIBUTION WITH STATISTICAL PROPERTIES AND APPLICATIONS. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Arulmozhi%2C+V%2E%22">Arulmozhi, V.</searchLink><relatesTo>1</relatesTo><i> arulmozhiv16@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Sivaranjani%2C+R%2E%22">Sivaranjani, R.</searchLink><relatesTo>2</relatesTo><i> sivaranjani160692@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Poovizhi%2C+K%2E%22">Poovizhi, K.</searchLink><relatesTo>3</relatesTo><i> poovizhimsc2016@gmail.com</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Reliability%3A+Theory+%26+Applications%22">Reliability: Theory & Applications</searchLink>. Dec2025, Vol. 20 Issue 4, p895-904. 10p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Survival+analysis+%28Biometry%29%22">Survival analysis (Biometry)</searchLink><br /><searchLink fieldCode="DE" term="%22Hazard+function+%28Statistics%29%22">Hazard function (Statistics)</searchLink><br /><searchLink fieldCode="DE" term="%22Parameter+estimation%22">Parameter estimation</searchLink><br /><searchLink fieldCode="DE" term="%22Maximum+likelihood+statistics%22">Maximum likelihood statistics</searchLink><br /><searchLink fieldCode="DE" term="%22Overall+survival%22">Overall survival</searchLink><br /><searchLink fieldCode="DE" term="%22Statistical+measurement%22">Statistical measurement</searchLink><br /><searchLink fieldCode="DE" term="%22Distribution+%28Probability+theory%29%22">Distribution (Probability theory)</searchLink><br /><searchLink fieldCode="DE" term="%22Reliability+in+engineering%22">Reliability in engineering</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: The "Sauleh distribution" is a novel lifespan distribution that is suggested by this study. Among the statistical and mathematical features that have been discussed are the PDF and CDF. Numerous helpful statistical features are derived, including the Area Biased Generalized Sauleh distribution's hazard rate function, reverse hazard rate function, order statistics, moments, measure of skewness, and measure of kurtosis. It uses the well-known maximum likelihood outcome approach to estimate the parameter of the distribution. To demonstrate this distribution's adaptability and superiority over alternative distributions, a comparative analysis is conducted in the end. It establishes its significance in reliability engineering by producing a rich class of distributions that may capture various shapes and behaviors and, as a result, enable better fitting to empirical data. Real-world data sets are used to establish the use of this novel distribution. Melanoma patient survival data has demonstrated the effectiveness of the proposed distribution; it is concluded that the produced distribution provides a superior fit. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Reliability: Theory & Applications is the property of International Group on Reliability and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.24412/1932-2321-2025-489-895-904 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 10 StartPage: 895 Subjects: – SubjectFull: Survival analysis (Biometry) Type: general – SubjectFull: Hazard function (Statistics) Type: general – SubjectFull: Parameter estimation Type: general – SubjectFull: Maximum likelihood statistics Type: general – SubjectFull: Overall survival Type: general – SubjectFull: Statistical measurement Type: general – SubjectFull: Distribution (Probability theory) Type: general – SubjectFull: Reliability in engineering Type: general Titles: – TitleFull: SURVIVAL ANALYSIS OF AREA BIASED GENERALIZED SAULEH DISTRIBUTION WITH STATISTICAL PROPERTIES AND APPLICATIONS. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Arulmozhi, V. – PersonEntity: Name: NameFull: Sivaranjani, R. – PersonEntity: Name: NameFull: Poovizhi, K. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 12 Text: Dec2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 19322321 Numbering: – Type: volume Value: 20 – Type: issue Value: 4 Titles: – TitleFull: Reliability: Theory & Applications Type: main |
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