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Journal of Statistics and Management Systems

(Since 1998)
Open Access ·Peer-reviewed·ISSN (Online): 2169-0014·ISSN (Print): 0972-0510

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Monthly Journal: Publishes peer-reviewed aticles on theoretical and applied statistics and management systems, expoloring industrial statistics, actuarial and decision sciences.

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Journal of Statistics and Management Systems
Open Access Research Article

The Type I Half Logistic-Burr XII lifetime distribution : Properties and application to survival data

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pp. 835–852Vol. 27Issue 5July 2024DOI: 10.47974/JSMS-934XML
Received:
10 Aug 2021
Accepted:
08 Mar 2022
Published Online:
05 Aug 2024
Article type:
Research Article
Language:
EN
Article no.:
JSMS-934
Pages:
835–852

Abstract

Real life data cannot fit to the commonly known statistical model structures and therefore, different new models are needed in the modeling of this type of data. In this paper, we propose a new lifetime distribution called the Type I Half Logistic-Burr XII that can model different data from engineering and biomedicine science with its flexible structure. For this new distribution, we obtain the statistical properties including the hazard function, survival function, moment generating function, variance, quantile function, skewness and kurtosis. Moreover, the unknown parameters of the proposed type I half logistic-Burr XII distribution are obtained by using the maximum likelihood method. Application with two survival time data is presented to illustrate the effectiveness of the new distributions and it is shown to be better than the Burr XII, Topp-Leone Burr XII and Extended Weibull Log-Logistic distribution.

Keywords

Type I Half Logistic-Burr XIISurvival functionMoment generating functionOrder statisticsEstimation

Subject Classifications

60E0562E1062N99

References

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