Entropy can be mathematically defined as a measure of the uncertainty random variables that represents potential quantity information. This article investigates behavior entropy which follow Kumaraswamy distribution using progressively first-failure censored (PFFC) data. In particular, we calculate maximum likelihood estimation and confidence interval by observed Fisher information matrix throu...

In this work, we introduce a novel generalization of the extended exponential distribution with four parameters through Kumaraswamy family. The proposed model is referred to as (KwEE). significance suggested from its flexibility in applications and data modeling. As specific sub-models, it includes exponential, Lindley, exponentiated gamma generalized distributions. representation density funct...

The Cardioid (C) distribution is one of the most important models for modeling circular data. Although some its structural properties have been derived, this not appropriate asymmetry and multimodal phenomena in circle, then extensions are required. There various general methods that can be used to produce distributions. This paper proposes four C based on beta, Kumaraswamy, gamma, Marshall–Olk...

A common practice in statistical distribution theory involves exponentiating existing functions to include some extra parameters that increase the flexibility of distribution. This paper examines effect generalized models by adding three their probability Particularly, a new is member inverted Kumaraswamy family distributions considered. Afterward, additional are applied enhance this distributi...

In this paper, we develop the new extended Kumaraswamy generated (NEKwG) family of distributions. It aims to improve modeling capability standard by using a one-parameter exponential-logarithmic transformation. Mathematical developments NEKwG are provided, such as probability density function series representation, moments, information measure, and order statistics, along with asymptotic distri...