Adaptive thresholding estimator for differential association structures in two independent contingency tables

Authors : Seyed Kamran GHOREİSHİ, Jingjing WU

Pages : 1480-1492

Doi:10.15672/hujms.560405

View : 14 | Download : 11

Publication Date : 2020-08-06

Article Type : Research Paper

Abstract :In this paper, we consider an adaptive thresholding procedure to estimate the difference of association structures in two independent two-way contingency tables of the same order. Here, we assume that the class of paired association structures have an approximately sparse difference. Under $L_1$ and $L_2$ loss functions, we establish the corresponding risk`s upper bounds for our differential association adaptive thresholding estimators. Moreover, we show that these estimators perform well in a simulated setting. In this line, we carry out a simulation study and compare two well-known independent social mobility datasets.
Keywords : Association orthogonal components, Intrinsic association parameters, Adaptive thresholding estimator, sparsity