A New Classical Two Parameter Asymmetric Probability Distribution: Properties and Application

In this paper, the record is set straight on the technique for the development of classical distributions, where a new model called the Sky-Log distribution is proposed as an illustrative example of the methodical approach. The statistical properties of the proposed distribution were derived, and the very many known generating functions exist for the distribution. Lionel Messi’s football record data were analyzed to validate the essence of the proposed model. Finally, it was discovered that the proposed distribution sub-model, termed Sky-X distribution, and the exponential distribution, are exact model fit alternatives.

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Publication Details

Journal
African Journal of Mathematics and Statistics Studies
Published
2024-11-25
DOI
https://doi.org/10.52589/ajmss-zxscst58
Primary Topic
Statistical Distribution Estimation and Applications
Type
article
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article

A New Classical Two Parameter Asymmetric Probability Distribution: Properties and Application

Akpome Jennifer Nomuoja, Cornelius E. Agu, Emwinloghosa Kenneth Guobadia, T. G. Olawale et al.
African Journal of Mathematics and Statistics Studies
Statistical Distribution Estimation and Applications
article

A New Classical Two Parameter Asymmetric Probability Distribution: Properties and Application

Akpome Jennifer Nomuoja, Cornelius E. Agu, Emwinloghosa Kenneth Guobadia, T. G. Olawale, C. J. Adewole
article en

Abstract

In this paper, the record is set straight on the technique for the development of classical distributions, where a new model called the Sky-Log distribution is proposed as an illustrative example of the methodical approach. The statistical properties of the proposed distribution were derived, and the very many known generating functions exist for the distribution. Lionel Messi’s football record data were analyzed to validate the essence of the proposed model. Finally, it was discovered that the proposed distribution sub-model, termed Sky-X distribution, and the exponential distribution, are exact model fit alternatives.

African Journal of Mathematics and Statistics StudiesVol. 7(4)
Openalex Percentile: Top 78%
Statistical Distribution Estimation and Applications
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