Generalized Cardioid Distributions for Circular Data Analysis

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–Olkin generators. We obtain a unique linear representation their densities mathematical properties. Inference procedures parameters also investigated. perform two applications real data, where new compared extensions.