Bivariate high-level exceedance and the Chen-Stein theorem in genomics multiple hypothesis testing perspectives

In genomic studies, generally the genes are neither independent nor marginally identically distributed, though in microarray studies and DNA/RNA SNP models, often they are assumed to be independent and identically distributed. A version of the Chen-Stein theorem on Poisson approximation for dependent binary variables has been adopted for a mathematical justification of this approach in a general genomic setup.