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Title: Full hairpin copulas are not factorizable Authors:  Songkiat Sumetkijakan - Chulalongkorn University (Thailand) [presenting]
Tanes Printechapat - Chulalongkorn University (Thailand)
Abstract: Recently, a subclass of singular bivariate copulas, called non-atomic copulas, were introduced. We show that hairpin copulas are non-atomic. Furthermore, we prove that full hairpin copulas are not factorizable, that is they cannot be written as $L*R$ where $L$ and $R$ are left and right invertible copulas.