A new extended Remkan distribution and its application to the cancer data

A new two-parameter Remkan distribution is derived. In this study a new version of the length-biased Remkan distribution is discussed. Mathematical properties of the new distribution, including moments, moment-generating functions, shape, order statistics, Renyi entropy, and Bonferroni curves, have been proposed. Also discussed was the simulation study of the proposed distribution. The length-biased Remkan distribution in survival data is discussed on real lifetime data from engineering and medical science. Finally analyzed, a real-life data set is fitted and the fit has been found to be good.

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Publication Details

Journal
Brazilian Journal of Biometrics
Published
2025-10-07
DOI
https://doi.org/10.28951/bjb.v43i4.800
Primary Topic
Statistical Distribution Estimation and Applications
Type
article
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article

A new extended Remkan distribution and its application to the cancer data

P. Pandiyan, O. Anu
Brazilian Journal of Biometrics
Statistical Distribution Estimation and Applications
article

A new extended Remkan distribution and its application to the cancer data

P. Pandiyan, O. Anu
article en

Abstract

A new two-parameter Remkan distribution is derived. In this study a new version of the length-biased Remkan distribution is discussed. Mathematical properties of the new distribution, including moments, moment-generating functions, shape, order statistics, Renyi entropy, and Bonferroni curves, have been proposed. Also discussed was the simulation study of the proposed distribution. The length-biased Remkan distribution in survival data is discussed on real lifetime data from engineering and medical science. Finally analyzed, a real-life data set is fitted and the fit has been found to be good.

Brazilian Journal of BiometricsVol. 43(4)
Annamalai University (IN)
Openalex Percentile: Top 74%
Statistical Distribution Estimation and Applications
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