A NEW LENGTH BIASED EXPONENTIAL-EXPONENTIAL DISTRIBUTION AND ITS APPLICATIONS TO CANCER DATA.
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| Title: | A NEW LENGTH BIASED EXPONENTIAL-EXPONENTIAL DISTRIBUTION AND ITS APPLICATIONS TO CANCER DATA. |
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| Authors: | J., Latha1 1lathalekshmi.j@gmail.com, Vijayakumar, M.2 mvkumar1975@gmail.com, D. S., Shibu3 statshibu@gmail.com |
| Source: | Reliability: Theory & Applications. Jun2025, Vol. 20 Issue 2, p834-843. 10p. |
| Subjects: | Maximum likelihood statistics, Characteristic functions, Moments method (Statistics), Hazard function (Statistics), Generating functions |
| Abstract: | The application of weighted distribution is used in many fields of real life such as medicine, reliability, ecology and so on, so we try to contribute in this field through this research. In this paper we propose a new length biased form of the Exponential-Exponential distribution called Length Biased Exponential-Exponential distribution (LBEED) and derive its statistical properties. The statistical properties including the moments, moment generating function, characteristic function, reliability functions and entropy measures are discussed. The method of maximum likelihood and method of moment was employed to estimate the parameter. The utility and adaptability of the proposed model are demonstrated by real-world data sets. [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: 187185708 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: A NEW LENGTH BIASED EXPONENTIAL-EXPONENTIAL DISTRIBUTION AND ITS APPLICATIONS TO CANCER DATA. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22J%2E%2C+Latha%22">J., Latha</searchLink><relatesTo>1</relatesTo><i> 1lathalekshmi.j@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Vijayakumar%2C+M%2E%22">Vijayakumar, M.</searchLink><relatesTo>2</relatesTo><i> mvkumar1975@gmail.com</i><br /><searchLink fieldCode="AR" term="%22D%2E+S%2E%2C+Shibu%22">D. S., Shibu</searchLink><relatesTo>3</relatesTo><i> statshibu@gmail.com</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Reliability%3A+Theory+%26+Applications%22">Reliability: Theory & Applications</searchLink>. Jun2025, Vol. 20 Issue 2, p834-843. 10p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Maximum+likelihood+statistics%22">Maximum likelihood statistics</searchLink><br /><searchLink fieldCode="DE" term="%22Characteristic+functions%22">Characteristic functions</searchLink><br /><searchLink fieldCode="DE" term="%22Moments+method+%28Statistics%29%22">Moments method (Statistics)</searchLink><br /><searchLink fieldCode="DE" term="%22Hazard+function+%28Statistics%29%22">Hazard function (Statistics)</searchLink><br /><searchLink fieldCode="DE" term="%22Generating+functions%22">Generating functions</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: The application of weighted distribution is used in many fields of real life such as medicine, reliability, ecology and so on, so we try to contribute in this field through this research. In this paper we propose a new length biased form of the Exponential-Exponential distribution called Length Biased Exponential-Exponential distribution (LBEED) and derive its statistical properties. The statistical properties including the moments, moment generating function, characteristic function, reliability functions and entropy measures are discussed. The method of maximum likelihood and method of moment was employed to estimate the parameter. The utility and adaptability of the proposed model are demonstrated by real-world data sets. [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: Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 10 StartPage: 834 Subjects: – SubjectFull: Maximum likelihood statistics Type: general – SubjectFull: Characteristic functions Type: general – SubjectFull: Moments method (Statistics) Type: general – SubjectFull: Hazard function (Statistics) Type: general – SubjectFull: Generating functions Type: general Titles: – TitleFull: A NEW LENGTH BIASED EXPONENTIAL-EXPONENTIAL DISTRIBUTION AND ITS APPLICATIONS TO CANCER DATA. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: J., Latha – PersonEntity: Name: NameFull: Vijayakumar, M. – PersonEntity: Name: NameFull: D. S., Shibu IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 06 Text: Jun2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 19322321 Numbering: – Type: volume Value: 20 – Type: issue Value: 2 Titles: – TitleFull: Reliability: Theory & Applications Type: main |
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