GENERALIZED WEIGHTED SUJATHA DISTRIBUTION WITH PROPERTIES AND APPLICATIONS.
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| Title: | GENERALIZED WEIGHTED SUJATHA DISTRIBUTION WITH PROPERTIES AND APPLICATIONS. |
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| Authors: | Prodhani, Hosenur Rahman1 hosenur72@gmail.com, Shanker, Rama1 shankerrama2009@gmail.com |
| Source: | Reliability: Theory & Applications. Mar2026, Vol. 21 Issue 1, p109-123. 15p. |
| Subjects: | Distribution (Probability theory), Hazard function (Statistics), Descriptive statistics, Goodness-of-fit tests, Survival analysis (Biometry), Maximum likelihood statistics, Bayes' estimation, Failure time data analysis |
| Abstract: | This paper introduces three-parameter weighted generalized Sujatha distribution which is the weighted version of the generalization of Sujatha distribution to model over-dispersed data from engineering and medical science. The proposed model retains mathematical tractability and includes Lindley distribution, Sujatha distribution, generalized Sujatha distribution, weighted Sujatha distribution, weighted Lindley distribution, size-biased Sujatha distribution and size-biased Lindley distribution as special cases. The statistical properties including moments and its related measures such as coefficient of variation, coefficient of skewness, coefficient of kurtosis and index of dispersion have studied. The survival function, hazard function, reverse hazard function and mean residual life function of the distribution have also been studied. The parameters of the distribution have been estimated by maximum likelihood estimation method and Bayesian estimation method and a simulation study has been conducted using acceptance-rejection method of simulation to know the consistency of the estimator of the parameters. Bootstrap confidence interval has been used for interval estimation of the parameters. To validate the applicability of the distribution, two real lifetime datasets from medical and engineering are analyzed. The goodness of fit of the generalized weighted Sujatha distribution is evaluated using the Akaike Information criterion Bayesian Information Criterion, Consistent Akaike Information Criterion, Hannan-Quinn Information Criterion and Kolmogorov- Smirnov statistic. The results demonstrate that the proposed distribution offers closer fit compared to threeparameter weighted Lindley distribution, weighted quasi Akash distribution, weighted quasi Shanker distribution, weighted quasi Aradhana distribution, three-parameter Sujatha distribution, three-parameter generalized Lindley distribution, generalized Sujatha distribution and Sujatha distribution. It has been found that the proposed distribution provides much closer fit as compared to the considered distributions. [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 |
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| Header | DbId: egs DbLabel: Engineering Source An: 192779621 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: GENERALIZED WEIGHTED SUJATHA DISTRIBUTION WITH PROPERTIES AND APPLICATIONS. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Prodhani%2C+Hosenur+Rahman%22">Prodhani, Hosenur Rahman</searchLink><relatesTo>1</relatesTo><i> hosenur72@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Shanker%2C+Rama%22">Shanker, Rama</searchLink><relatesTo>1</relatesTo><i> shankerrama2009@gmail.com</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Reliability%3A+Theory+%26+Applications%22">Reliability: Theory & Applications</searchLink>. Mar2026, Vol. 21 Issue 1, p109-123. 15p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Distribution+%28Probability+theory%29%22">Distribution (Probability theory)</searchLink><br /><searchLink fieldCode="DE" term="%22Hazard+function+%28Statistics%29%22">Hazard function (Statistics)</searchLink><br /><searchLink fieldCode="DE" term="%22Descriptive+statistics%22">Descriptive statistics</searchLink><br /><searchLink fieldCode="DE" term="%22Goodness-of-fit+tests%22">Goodness-of-fit tests</searchLink><br /><searchLink fieldCode="DE" term="%22Survival+analysis+%28Biometry%29%22">Survival analysis (Biometry)</searchLink><br /><searchLink fieldCode="DE" term="%22Maximum+likelihood+statistics%22">Maximum likelihood statistics</searchLink><br /><searchLink fieldCode="DE" term="%22Bayes'+estimation%22">Bayes' estimation</searchLink><br /><searchLink fieldCode="DE" term="%22Failure+time+data+analysis%22">Failure time data analysis</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: This paper introduces three-parameter weighted generalized Sujatha distribution which is the weighted version of the generalization of Sujatha distribution to model over-dispersed data from engineering and medical science. The proposed model retains mathematical tractability and includes Lindley distribution, Sujatha distribution, generalized Sujatha distribution, weighted Sujatha distribution, weighted Lindley distribution, size-biased Sujatha distribution and size-biased Lindley distribution as special cases. The statistical properties including moments and its related measures such as coefficient of variation, coefficient of skewness, coefficient of kurtosis and index of dispersion have studied. The survival function, hazard function, reverse hazard function and mean residual life function of the distribution have also been studied. The parameters of the distribution have been estimated by maximum likelihood estimation method and Bayesian estimation method and a simulation study has been conducted using acceptance-rejection method of simulation to know the consistency of the estimator of the parameters. Bootstrap confidence interval has been used for interval estimation of the parameters. To validate the applicability of the distribution, two real lifetime datasets from medical and engineering are analyzed. The goodness of fit of the generalized weighted Sujatha distribution is evaluated using the Akaike Information criterion Bayesian Information Criterion, Consistent Akaike Information Criterion, Hannan-Quinn Information Criterion and Kolmogorov- Smirnov statistic. The results demonstrate that the proposed distribution offers closer fit compared to threeparameter weighted Lindley distribution, weighted quasi Akash distribution, weighted quasi Shanker distribution, weighted quasi Aradhana distribution, three-parameter Sujatha distribution, three-parameter generalized Lindley distribution, generalized Sujatha distribution and Sujatha distribution. It has been found that the proposed distribution provides much closer fit as compared to the considered distributions. [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: 10.24412/1932-2321-2026-190-109-123 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 15 StartPage: 109 Subjects: – SubjectFull: Distribution (Probability theory) Type: general – SubjectFull: Hazard function (Statistics) Type: general – SubjectFull: Descriptive statistics Type: general – SubjectFull: Goodness-of-fit tests Type: general – SubjectFull: Survival analysis (Biometry) Type: general – SubjectFull: Maximum likelihood statistics Type: general – SubjectFull: Bayes' estimation Type: general – SubjectFull: Failure time data analysis Type: general Titles: – TitleFull: GENERALIZED WEIGHTED SUJATHA DISTRIBUTION WITH PROPERTIES AND APPLICATIONS. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Prodhani, Hosenur Rahman – PersonEntity: Name: NameFull: Shanker, Rama IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 03 Text: Mar2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 19322321 Numbering: – Type: volume Value: 21 – Type: issue Value: 1 Titles: – TitleFull: Reliability: Theory & Applications Type: main |
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