It is well known that the arithmetic mean of two possibly differentcopulas forms a copula, again. More general, we focus on theweighted power mean (WPM) of two arbitrary copulas which is notnecessary a copula again, as different counterexamples reveal. However,various conditions regarding the...

Two major generalizations of the hyperbolic secant distributionhave been proposed in the statistical literature which both introduce an additionalparameter that governs the kurtosis of the generalized distribution. Thegeneralized hyperbolic secant (GHS) distribution was introduced by Harknessand...