Log-Kumaraswamy distribution: its features and applications

Abstract

This article aimed to present a new continuous probability density function for a non-negative random variable that serves as an alternative to some bounded domain distributions. The new distribution, termed the log-Kumaraswamy distribution, could faithfully be employed to compete with bounded and unbounded random processes. Some essential features of this distribution were studied, and the parameters of its estimates were obtained based on the maximum product of spacing, least squares, and weighted least squares procedures. The new distribution was proven to be better than traditional models in terms of flexibility and applicability to real-life data sets.

The Odd Beta Prime Inverted Kumaraswamy Distribution with Application to COVID-19 Mortality Rate in Italy

“…In 1980, Kumaraswamy presented a distribution that is similar to the beta distribution but has certain significant advantages, including an inverted closed-form cumulative distribution function, and it provides simple quantile and distribution functions without the need for complex mathematical operations. This distribution can be used to model and analyze a wide range of natural phenomena with lower and upper bounds, including parameters such as the height of individuals, scores obtained on a test, atmospheric temperatures and hydrological data such as daily rain fall and daily stream flow [17]. For more details, we refer the interested readers to the following references: [18][19][20][21][22].…”