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

Akpome Jennifer Nomuoja; Chidera Agu; Temisan Gabriel Olawale; Chinyere Josephine; Emwinloghosa Kenneth Guobadia

doi:10.52589/AJMSS-ZXSCST58

A New Classical Two Parameter Asymmetric Probability Distribution: Properties and Application. | AB Journals

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

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African Journal of Mathematics and Statistics Studies

Vol. 7Issue 42024pp. 272–295Published 4 November 2024

DOI 10.52589/AJMSS-ZXSCST58

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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 there is, 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.

Keywords:Model Theory Probability distribution Sky-Log distribution Sky-X distribution Lifetime data Generating function.

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