Abstract
This paper presents a newly transformed Kumaraswamy semicircular distribution along with their cumulative distribution function, probability density function, and reliability measures based on composing the Kumaraswamy-G family with semicircular exponentiated Weibull distribution. Furthermore, the most important statistical properties, including moments, characteristic function, trigonometric moments, quantile function, simulated data, reliability stress strength model, Shannon and relative entropies, are also obtained. A simulation study is conducted to empirically detect the performances of the maximum likelihood estimates of the parameters within different default values and samples size. The results give grounds for optimism about the distribution's stability and flexibility in practical applications. In addition, the new distribution is an extension of the semicircular exponentiated Weibull distribution.
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