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            Abstract This paper re-examines the work of Abadie & Imbens (2016) on propensity score matching for average treatment effect estimation. We explore the asymptotic behaviour of these estimators when the number of nearest neighbours, M, grows with the sample size. It is shown, while not surprising, but technically nontrivial, that the modified estimators can improve upon the original fixed M-estimators in terms of efficiency. Additionally, we demonstrate the potential to attain the semiparametric efficiency lower bound when the propensity score admits some special structures, echoing the insight of Hahn (1998).more » « less
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            Luo, Zhong-Zhen; Zhao, Hengdi; Cai, Weizhao; Shahabfar, Shima; Li, Juncen; Cai, Songting; Berg, Jameson; Bhowmick, Tushar; Bao, Jin-Ke; Hao, Shiqiang; et al (, Journal of the American Chemical Society)Free, publicly-accessible full text available February 26, 2026
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            Lin, Wenwen; Liu, Zhifu; Stoumpos, Constantinos C.; Das, Sanjib; He, Yihui; Hadar, Ido; Peters, John A.; McCall, Kyle M.; Xu, Yadong; Chung, Duck Young; et al (, Crystal Growth & Design)
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            Islam, Saiful M.; Cain, Jeffrey D.; Shi, Fengyuan; He, Yihui; Peng, Lintao; Banerjee, Abhishek; Subrahmanyam, Kota S.; Li, Yuan; Ma, Shulan; Dravid, Vinayak P.; et al (, Chemistry of Materials)
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