A New Type I Half Logistic Topp-Leone Kumaraswamy Distribution: Properties and Applications to Covid 19 data
DOI:
https://doi.org/10.62933/sgrr2k29Keywords:
Type I half-logistic distribution ., Type I half-logisTopp-Leone Kumaraswamy Distribution,, COVID-19, , Maximum Likelihood Estimation.Abstract
Various classical models have been generalized by many distribution theories to increase their flexibility and facilitate their use in various contexts. Families of distributions are mostly used to generalize and extend the classical models. Using family of distributions, a new four-parameter distribution named the type I half logistic Topp-Leone Kumaraswamy distribution, used in modelling real-life data sets, has been introduced. The new distribution is capable of modeling data with positively skewed and symmetric properties. Important statistical properties of the proposed distribution include the density function, hazard rate function, survival function, order statistics, probability weighted moments, moments, and moment generating function. The maximum likelihood estimation of the unknown parameters of the distribution has been obtained. Two real data sets relating to COVID-19 cases were employed to illustrate the usefulness and fit of the new model. The results showed that the type I half logistic Topp-Leone Kumaraswamy distribution provided better fits to the two data sets considered than the comparators used.
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Copyright (c) 2025 Akeem Ajibola Adepoju, Sule Ibrahim, Bello O. A. , Usman Mohammed, Bukar S., Hamza M., Sani S. S. (Author)
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