A new three-parameter statistical distribution with applications to biomedical and radiation data

In this paper, we present a new extension of the power Komal distribution (PKD), an original modification of the PKD. The new suggested model is called the half-logistic power Komal distribution (HLPKD). This modified distribution keeps the original PKD simple while providing more flexibility and accuracy when modeling data. The HLPKD has numerous statistical characteristics, including right-skewed, decreased and unimodal probability density functions, skewness, kurtosis moments, incomplete moments, and order statistics. We illustrate the HLPKD’s effectiveness and dependability using the maximum likelihood standard parameter estimate technique and a complete simulation exercise. From the simulation results, we can note that the bias, relative bias, mean square error, root mean square error and average length values decrease as the sample size increases Furthermore, implementing the HLPKD to two real-life biomedical/radiation datasets illustrates its usefulness. It can outperform well-known models as power Komal, Komal, power length-biased new xLindley, power Lindley, power Zeghdoudi, half-logistic new Weibull Pareto, half logistic Weibull, and half logistic exponential distributions.