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

#### Seyed Kamran GHOREİSHİ [1] , Jingjing WU [2]

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.
Association orthogonal components, Intrinsic association parameters, Adaptive thresholding estimator, sparsity
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Primary Language en Statistics and Probability Statistics Orcid: 0000-0003-4998-6707Author: Seyed Kamran GHOREİSHİ (Primary Author)Institution: University of QomCountry: Iran Orcid: 0000-0003-4555-1490Author: Jingjing WU Institution: University of CalgaryCountry: Canada Publication Date : August 6, 2020
 Bibtex @research article { hujms560405, journal = {Hacettepe Journal of Mathematics and Statistics}, issn = {2651-477X}, eissn = {2651-477X}, address = {}, publisher = {Hacettepe University}, year = {2020}, volume = {49}, pages = {1480 - 1492}, doi = {10.15672/hujms.560405}, title = {Adaptive thresholding estimator for differential association structures in two independent contingency tables}, key = {cite}, author = {Ghorei̇shi̇, Seyed Kamran and Wu, Jingjing} } APA Ghorei̇shi̇, S , Wu, J . (2020). Adaptive thresholding estimator for differential association structures in two independent contingency tables . Hacettepe Journal of Mathematics and Statistics , 49 (4) , 1480-1492 . DOI: 10.15672/hujms.560405 MLA Ghorei̇shi̇, S , Wu, J . "Adaptive thresholding estimator for differential association structures in two independent contingency tables" . Hacettepe Journal of Mathematics and Statistics 49 (2020 ): 1480-1492 Chicago Ghorei̇shi̇, S , Wu, J . "Adaptive thresholding estimator for differential association structures in two independent contingency tables". Hacettepe Journal of Mathematics and Statistics 49 (2020 ): 1480-1492 RIS TY - JOUR T1 - Adaptive thresholding estimator for differential association structures in two independent contingency tables AU - Seyed Kamran Ghorei̇shi̇ , Jingjing Wu Y1 - 2020 PY - 2020 N1 - doi: 10.15672/hujms.560405 DO - 10.15672/hujms.560405 T2 - Hacettepe Journal of Mathematics and Statistics JF - Journal JO - JOR SP - 1480 EP - 1492 VL - 49 IS - 4 SN - 2651-477X-2651-477X M3 - doi: 10.15672/hujms.560405 UR - https://doi.org/10.15672/hujms.560405 Y2 - 2020 ER - EndNote %0 Hacettepe Journal of Mathematics and Statistics Adaptive thresholding estimator for differential association structures in two independent contingency tables %A Seyed Kamran Ghorei̇shi̇ , Jingjing Wu %T Adaptive thresholding estimator for differential association structures in two independent contingency tables %D 2020 %J Hacettepe Journal of Mathematics and Statistics %P 2651-477X-2651-477X %V 49 %N 4 %R doi: 10.15672/hujms.560405 %U 10.15672/hujms.560405 ISNAD Ghorei̇shi̇, Seyed Kamran , Wu, Jingjing . "Adaptive thresholding estimator for differential association structures in two independent contingency tables". Hacettepe Journal of Mathematics and Statistics 49 / 4 (August 2020): 1480-1492 . https://doi.org/10.15672/hujms.560405 AMA Ghorei̇shi̇ S , Wu J . Adaptive thresholding estimator for differential association structures in two independent contingency tables. Hacettepe Journal of Mathematics and Statistics. 2020; 49(4): 1480-1492. Vancouver Ghorei̇shi̇ S , Wu J . Adaptive thresholding estimator for differential association structures in two independent contingency tables. Hacettepe Journal of Mathematics and Statistics. 2020; 49(4): 1480-1492.

Authors of the Article
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