Hacettepe Journal of Mathematics and Statistics 2651-477X 2651-477X Hacettepe University 10.15672/hujms.560405 Statistics İstatistik Adaptive thresholding estimator for differential association structures in two independent contingency tables https://orcid.org/0000-0003-4998-6707 Ghoreishi Seyed Kamran University of Qom https://orcid.org/0000-0003-4555-1490 Wu Jingjing University of Calgary 08 06 2020 49 4 1480 1492 05 03 2019 04 25 2020 Copyright © 2002, Hacettepe Journal of Mathematics and Statistics 2002 Hacettepe Journal of Mathematics and Statistics

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.

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