Directional dependence of genes using survival truncated FGM type modification copulas

Jong Min Kim, University of Minnesota Morris
Yoon Sung Jung, Kansas State University
Tim Soderberg, University of Minnesota Morris


A multivariate distribution can be represented in terms of its underlying margins by binding these margins together using a copula function (Sklar, 1959). Here, we propose a new class of survival FGM-type modification truncated copulas which quantify dependency and incorporate directional dependence. In addition, we apply our proposed methods to the analysis of directional dependence relationships between genes. Finally, we employ the Akaike Information Criterion (AIC) to check the goodness of fit for our proposed copula models.