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A New Family of Archimedean Copulas: The Half-Logistic Family of Copulas

A New Family of Archimedean Copulas: The Half-Logistic Family of Copulas

In this research, we introduce a truncation of the half-logistic distribution function as a multiplicative Archimedean generator. The corresponding Archimedean copula is obtained, namely the half-logistic family. The dependency structure of this copula is distinct from other well-known ones. Kendall’s tau correlation coefficient is obtained in exact form and found …