Transmuted Topp-Leone Exponential Distribution: Theory and Application to Real Dataset

Ibrahim Ismaila Itopa; Alhaji Modu Isa; Sule Omeiza Bashiru

doi:10.52589/AJMSS-J9FSNJ5R

Transmuted Topp-Leone Exponential Distribution: Theory and Application to Real Dataset | AB Journals

Transmuted Topp-Leone Exponential Distribution: Theory and Application to Real Dataset

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African Journal of Mathematics and Statistics Studies

Vol. 6Issue 22023pp. 80–88Published 8 April 2023

DOI 10.52589/AJMSS-J9FSNJ5R

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Abstract:

The main aim of this study is to add to the existing literature on probability distributions. In this study, the transmutation map approach proposed by Shaw and Buckley (2007) was used to develop a probability distribution called Transmuted Topp-Leone Exponential (TTLE) distribution. The moment, moment generating function and entropy are among the statistical properties of the distribution that were derived. The maximum likelihood approach was used to estimate the parameters of the novel distribution. The TTLE distribution was applied to a real-world data set and compared to other well-known standard distributions; the result of the analysis revealed that the newly developed distribution is more superior than the competing models.

Keywords:Exponential distribution Transmuted Map Maximum likelihood estimation method Entropy Moments.

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