Survival Weighted Pareto Distribution: Order Statistics and Its Applications

Nagy et al. [1] proposed an extended Pareto distribution called a survival-weighted Pareto distribution (SWPD). The proposed model proves to be the best fit for several extensions of the Pareto distribution. The current study provides quantitative features of SWPD through order statistics. The SWPD is characterized through the hazard rate function (HRF). The appropriateness of the characterization result is verified empirically by using a real-life data set. Finally, the measures of inequality are taken into consideration due to the heavy tail properties of the model.

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Publication Details

Journal
European Journal of Pure and Applied Mathematics
Published
2025-05-01
DOI
https://doi.org/10.29020/nybg.ejpam.v18i2.6148
Primary Topic
Statistical Distribution Estimation and Applications
Type
article
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Survival Weighted Pareto Distribution: Order Statistics and Its Applications

Abdelfattah Mustafa, M. I. Khan
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European Journal of Pure and Applied Mathematics
Statistical Distribution Estimation and Applications
article

Survival Weighted Pareto Distribution: Order Statistics and Its Applications

Abdelfattah Mustafa, M. I. Khan
article en

Abstract

Nagy et al. [1] proposed an extended Pareto distribution called a survival-weighted Pareto distribution (SWPD). The proposed model proves to be the best fit for several extensions of the Pareto distribution. The current study provides quantitative features of SWPD through order statistics. The SWPD is characterized through the hazard rate function (HRF). The appropriateness of the characterization result is verified empirically by using a real-life data set. Finally, the measures of inequality are taken into consideration due to the heavy tail properties of the model.

European Journal of Pure and Applied MathematicsVol. 18(2)
Mansoura University (EG), Islamic University of Madinah (SA)
Openalex Percentile: Top 91%
Statistical Distribution Estimation and Applications
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