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

Year 2020, Volume: 49 Issue: 4, 1480 - 1492, 06.08.2020

Seyed Kamran Ghoreishi , Jingjing Wu

https://doi.org/10.15672/hujms.560405

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

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