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Title: A unifying generator for cardioid modelling in circular statistics Authors:  Mohammad Arashi - Ferdowsi University of Mashhad (Iran)
Andriette Bekker - University of Pretoria (South Africa)
Najmeh Nakhaeirad - University of Pretoria (South Africa)
Delene van Wyk - University of Pretoria (South Africa)
JT Ferreira - University of Pretoria (South Africa) [presenting]
Abstract: The cardioid distribution maintains a fundamental position within circular statistics, and has been well studied and applied for analyzing circular data and in regression contexts. Theoretical properties of the cardioid have been derived and implemented to offer useful applications. An alternative construction to derive a family of circular distributions is reported which incorporates the kernel of the cardioid as a generator, and special cases contained in this family are highlighted. Particular emphasis is on a specific member, termed cardioid-t, and synthetic data investigations, as well as real data, illustrates the candidacy of this model in the directional statistics environment.