Directional Dependence of Genes Using Survival Truncated FGM Type Modification Copulas

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.

[1]  Insuk Sohn,et al.  BMC Bioinformatics BioMed Central Methodology article A copula method for modeling directional dependence of genes , 2022 .

[2]  Characterization of symmetry and exceedance models in multivariate FGM distributions , 2004 .

[3]  S. Kotz,et al.  On a new family of positive quadrant dependent bivariate distributions , 2003 .

[4]  Abe Sklar,et al.  Random variables, joint distribution functions, and copulas , 1973, Kybernetika.

[5]  Michael Ruogu Zhang,et al.  Comprehensive identification of cell cycle-regulated genes of the yeast Saccharomyces cerevisiae by microarray hybridization. , 1998, Molecular biology of the cell.

[6]  Samuel Kotz,et al.  New generalized Farlie-Gumbel-Morgenstern distributions and concomitants of order statistics , 2001 .

[7]  M. E. Johnson,et al.  A Family of Distributions for Modelling Non‐Elliptically Symmetric Multivariate Data , 1981 .

[8]  M. Sklar Fonctions de repartition a n dimensions et leurs marges , 1959 .

[9]  Engin A. Sungur A Note on Directional Dependence in Regression Setting , 2005 .

[10]  Engin A. Sungur Truncation invariant dependence structures , 1999 .

[11]  Min Xie,et al.  A new family of positive quadrant dependent bivariate distributions , 2000 .

[12]  Manuel Úbeda-Flores,et al.  A new class of bivariate copulas , 2004 .

[13]  E. Luciano,et al.  Copula Methods in Finance: Cherubini/Copula , 2004 .

[14]  E. Luciano,et al.  Copula methods in finance , 2004 .

[15]  Samuel Kotz,et al.  Dependence structure and symmetry of Huang-Kotz FGM distributions and their extensions , 2002 .

[16]  Joachim Weickert,et al.  Scale-Space Theories in Computer Vision , 1999, Lecture Notes in Computer Science.

[17]  Bill Ravens,et al.  An Introduction to Copulas , 2000, Technometrics.