Journal of Nigerian Society of Physical Sciences (Sep 2024)

Transmuted cosine Topp-Leone G family of distributions: properties and applications

  • Abdulhameed Osi,
  • Sani Ibrahim Doguwa,
  • Abubakar Yahaya,
  • Yahaya Zakari,
  • Abubakar Usman

DOI
https://doi.org/10.46481/jnsps.2024.2049
Journal volume & issue
Vol. 6, no. 4

Abstract

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In contemporary data analysis, the need for flexible and adaptable probabilistic models capable of capturing complex dependencies and tail behaviors in real-life datasets has become increasingly apparent. In light of this demand, A new trigonometric generalized family of distribution, the "Transmuted Cosine Topp-Leone G Family" is proposed in this study. Established on the foundations of, this family combines the adaptability of the Topp-Leone distribution with the periodicity of the cosine function and transmutation theory to produce a flexible framework that may be used to represent a wide range of real-life phenomena. We derive some of the statistical properties of the introduced family such as; survival and hazard functions, and moment and moment-generating functions. Moreover, the model parameters are estimated using the Maximum Likelihood method, and a Monte Carlo simulation was performed to ascertain the behavior and the consistency of the estimates. We investigate the shape of the distribution parameters which results in distributions with left-skew, right-skew, increasing, and decreasing shapes. Lastly, through empirical demonstrations, we showcase the efficacy of the family TrCTLG models in fitting lifetime datasets.

Keywords