TY  - JOUR
T1  - Adaptive thresholding estimator for  differential association structures in two independent contingency tables
AU  - Ghoreishi, Seyed Kamran
AU  - Wu, Jingjing
PY  - 2020
DA  - August
DO  - 10.15672/hujms.560405
JF  - Hacettepe Journal of Mathematics and Statistics
PB  - Hacettepe University
WT  - DergiPark
SN  - 2651-477X
SP  - 1480
EP  - 1492
VL  - 49
IS  - 4
LA  - en
AB  - 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.
KW  - Association orthogonal components
KW  - Intrinsic association parameters
KW  - Adaptive thresholding estimator
KW  - sparsity
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UR  - https://doi.org/10.15672/hujms.560405
L1  - https://dergipark.org.tr/en/download/article-file/1229871
ER  -