@article{article_560405, title={Adaptive thresholding estimator for differential association structures in two independent contingency tables}, journal={Hacettepe Journal of Mathematics and Statistics}, volume={49}, pages={1480–1492}, year={2020}, DOI={10.15672/hujms.560405}, author={Ghoreishi, Seyed Kamran and Wu, Jingjing}, keywords={Association orthogonal components, Intrinsic association parameters, Adaptive thresholding estimator, sparsity}, 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.}, number={4}, publisher={Hacettepe University}