The Arcsine Kumaraswamy-Generalized Family Bayesian and Classical Estimates and Application
Abstract
In this paper, by including a trigonometric function, we propose a family of heavy-tailed distribution called the arcsine Kumaraswamy generalized-X family of distributions. Based on the proposed approach, a four-parameter extension of the Lomax distribution called the arcsine Kumaraswamy generalized Lomax (ASKUG-LOMAX) distribution is discussed in detail. Maximum likelihood, bootstrap, and Bayesian estimation are used to estimate the model parameters. A simulation study is used to evaluate ASKUG-LOMAX performance. The flexibility and usefulness of the proposed ASKUG-LOMAX distribution to predict unique symmetric and asymmetric patterns is demonstrated by analyzing real data. The results show that the ASKUG-LOMAX model is a good candidate for analyzing claims based on heavy-tailed data.
Abstract: Equiform geometry is considered an extension of other geometries. Furthermore, an
equiform frame is a generalization of the Frenet frame. In this study, we begin by defining the…
Abstract
)e exponentiated generalized Gull alpha power exponential distribution is an extension of the exponential distribution that can
model data characterized by various shapes of the hazard…