Copulas and Their Applications

Conditional copulas, association measures and their applications

1 Department of Mathematics and Leuven Statistics Research Center (LStat), Katholieke Universiteit Leuven, Celestijnenlaan 200B, Box 2400, B-3001 Leuven (Heverlee), Belgium; 2 Center for Statistics, Hasselt University, Agoralaan -building D, B-3590 Diepenbeek, Belgium; 3 Jaroslav Hájek Center for Theoretical and Applied Statistics, Charles University Prague, Sokolovská 83, 186 75 Praha 8, Czech...

A note on "Generalized bivariate copulas and their properties"

In 2004, Rodr'{i}guez-Lallena and '{U}beda-Flores have introduced a class of bivariate copulas which generalizes some known families such as the Farlie-Gumbel-Morgenstern distributions. In 2006, Dolati and '{U}beda-Flores presented multivariate generalizations of this class. Then in 2011, Kim et al. generalized Rodr'{i}guez-Lallena and '{U}beda-Flores' study to any given copula family. But ther...

Magentotactic bacteria and their applications

Magentotactic bacteria are the types of bacteria capable of orientation in an external magnetic field because of the ability to produce structures called magnetosomes. Magnetosomes, nanometer-scale structures, are present in most of the magnetotactice bacteria. They are intracellular organelles composed of magnetic iron mineral crystals individually surrounded by a phospholipid layer. Because o...

Sequential Methods and Their Applications

Componentwise Concave Copulas and Their Asymmetry

The class of componentwise concave copulas is considered, with particular emphasis on its closure under some constructions of copulas (e. g., ordinal sum) and its relations with other classes of copulas characterized by some notions of concavity and/or convexity. Then, a sharp upper bound is given for the L ∞-measure of non-exchangeability for copulas belonging to this class.