References
==========

.. [Abadie2021] Abadie, Alberto. *"Using Synthetic Controls: Feasibility, Data Requirements, and Methodological Aspects."* Journal of Economic Literature, vol. 59, no. 2, 2021, pp. 391–425. https://doi.org/10.1257/jel.20191450.

.. [ADID] Li, Kathleen T., and Christophe Van den Bulte. *"Augmented Difference-in-Differences."* Marketing Science, vol. 42, no. 4, 2023, pp. 746–767. https://doi.org/10.1287/mksc.2022.1406.

.. [LASSOPDA] Li, Kathleen T., and David R. Bell. *"Estimation of Average Treatment Effects with Panel Data: Asymptotic Theory and Implementation."* J. Econom., vol. 197, no. 1, March 2017, pp. 65–75. https://doi.org/10.1016/j.jeconom.2016.01.011.



.. [Amjad2018] Amjad, Muhammad, Devavrat Shah, and Dennis Shen. *"Robust Synthetic Control."* Journal of Machine Learning Research, vol. 19, no. 1, 2018, pp. 802–852.

.. [Agarwal2021] Agarwal, Anish, Devavrat Shah, Dennis Shen, and Dogyoon Song. *"On Robustness of Principal Component Regression."* Journal of the American Statistical Association, vol. 116, no. 536, 2021, pp. 1731–1745. doi:10.1080/01621459.2021.1928513.

.. [ClusterSC]
    Rho, Saeyoung, Tang, Andrew, Bergam, Noah, Cummings, Rachel, and Misra, Vishal.
    "ClusterSC: Advancing Synthetic Control with Donor Selection."
    *Proceedings of the 28th International Conference on Artificial Intelligence and Statistics (AISTATS)*,
    PMLR 258, 2025. arXiv:2503.21629.

.. [BaiNg2002] Bai, Jushan and Serena Ng (2002), “Determining the Number of Factors in Approximate Factor Models,” *Econometrica*, 70 (1), 191–222.



.. [Bayani2021] Bayani, Mani. *"Robust PCA Synthetic Control."* Working paper, arXiv, 2021. doi:10.48550/ARXIV.2108.12542.

.. [chaisesurvey]
    de Chaisemartin, Clément and D'Haultfoeuille, Xavier. 
    "Two-way fixed effects and differences-in-differences with heterogeneous treatment effects: a survey." 
    *The Econometrics Journal*, 26(3): C1-C30, 2022. 
    DOI: https://doi.org/10.1093/ectj/utac017

.. [Costa2023] Luis Costa, Vivek F. Farias, Patricio Foncea, Jingyuan (Donna) Gan, Ayush Garg, Ivo Rosa Montenegro, Kumarjit Pathak, Tianyi Peng, Dusan Popovic. *"Generalized Synthetic Control for TestOps at ABI: Models, Algorithms, and Infrastructure."* INFORMS Journal on Applied Analytics, vol. 53, no. 5, 2023, pp. 336–349.

.. [Chatterjee2015] Sourav Chatterjee. "Matrix estimation by Universal Singular Value Thresholding." *The Annals of Statistics*, Ann. Statist. 43(1), 177-214, (February 2015).

.. [Donoho2023] David Donoho, Matan Gavish, Elad Romanov. "ScreeNOT: Exact MSE-optimal singular value thresholding in correlated noise." *The Annals of Statistics*, Ann. Statist. 51(1), 122-148, (February 2023).

.. [HCW] Hsiao, Cheng, H. Steve Ching, and Shui Ki Wan. "A Panel Data Approach for Program Evaluation: Measuring the Benefits of Political and Economic Integration of Hong Kong with Mainland China." *Journal of Applied Econometrics* 27, no. 5 (2012): 705-40. DOI: 10.1002/jae.1230.

.. [fohlin2021] Caroline Fohlin and Zhikun Lu. 
   "How Contagious Was the Panic of 1907? New Evidence from Trust Company Stocks." 
   *AEA Papers and Proceedings*, vol. 111, pp. 514-519, 2021. 
   DOI: `10.1257/pandp.20211097`_.




.. [Li2024] Li, Kathleen T. *"Frontiers: A Simple Forward Difference-in-Differences Method."* Marketing Science, vol. 43, no. 2, 2024, pp. 239–468. `doi:10.1287/mksc.2022.0212 <https://doi.org/10.1287/mksc.2022.0212>`_.


.. [LiuTchetgenVar] Jizhou Liu, Eric Tchetgen Tchetgen, and Carlos Varjão. 
   "Proximal Causal Inference for Synthetic Control with Surrogates." 
   *Proceedings of The 27th International Conference on Artificial Intelligence and Statistics*, 
   vol. 238, pp. 730-738, PMLR, May 2024. 
   Available at: `https://proceedings.mlr.press/v238/liu24a.html`_.



.. [TSSC] Li, K. T., & Shankar, V. (2023). A Two-Step Synthetic Control Approach for Estimating Causal Effects of Marketing Events. *Management Science, 70*(6), 3734-3747. https://doi.org/10.1287/mnsc.2023.4878


.. [ROTH20232218]
    Roth, Jonathan, Sant'Anna, Pedro H.C., Bilinski, Alyssa, and Poe, John. 
    "What's trending in difference-in-differences? A synthesis of the recent econometrics literature." 
    *Journal of Econometrics*, 235(2): 2218-2244, 2023. 
    DOI: https://doi.org/10.1016/j.jeconom.2023.03.008

.. [l2relax] Zhentao Shi and Yishu Wang. *"L2-relaxation for Economic Prediction."* November 2024. `doi:10.13140/RG.2.2.11670.97609 <https://doi.org/10.13140/RG.2.2.11670.97609>`_.


.. [fsPDA]
    Shi, Zhentao and Huang, Jingyi. 
    "Forward-selected panel data approach for program evaluation." 
    *Journal of Econometrics*, 234(2): 512-535, 2023. 
    DOI: https://doi.org/10.1016/j.jeconom.2021.04.009

.. [sdid]
    Clarke, Damian, Pailañir, Daniel, Athey, Susan, and Imbens, Guido. 
    "On Synthetic Difference-in-Differences and Related Estimation Methods in Stata." 
    *Working Paper*. Available at: https://doi.org/10.48550/arXiv.2301.11859

.. [stackdid]
    Wing, Coady, Freedman, Seth M., and Hollingsworth, Alex. 
    "Stacked Difference-in-Differences." 
    *National Bureau of Economic Research, Working Paper Series*, 32054, January 2024. 
    DOI: https://doi.org/10.3386/w32054

.. [aersdid]
    Arkhangelsky, Dmitry, Athey, Susan, Hirshberg, David A., Imbens, Guido W., and Wager, Stefan. 
    "Synthetic Difference-in-Differences." 
    *American Economic Review*, 111(12): 4088–4118, 2021. 
    URL: https://doi.org/10.1257/aer.20190159

.. [scmdisagg]
    Abadie, Alberto and L’Hour, Jérémy. 
    "A Penalized Synthetic Control Estimator for Disaggregated Data." 
    *Journal of the American Statistical Association*, 116(536): 1817–1834, 2021. 
    DOI: https://doi.org/10.1080/01621459.2021.1971535

.. [TSSC]
    Li, Kathleen T. and Shankar, Venkatesh. 
    "A Two-Step Synthetic Control Approach for Estimating Causal Effects of Marketing Events." 
    *Management Science*, 70(6): 3734-3747, 2024. 
    DOI: https://doi.org/10.1287/mnsc.2023.4878

.. [FMA]
    Li, Kathleen T. and Sonnier, Garrett P.
    "Statistical Inference for the Factor Model Approach to Estimate Causal Effects in Quasi-Experimental Settings."
    *Journal of Marketing Research*, 60(3): 449-472, 2023.
    DOI: https://doi.org/10.1177/00222437221137533

.. [BECKER20181]
    Becker, Martin and Klößner, Stefan.
    "Fast and reliable computation of generalized synthetic controls." 
    *Econometrics and Statistics*, 5: 1-19, 2018. 
    DOI: https://doi.org/10.1016/j.ecosta.2017.08.002

.. [albalate2021decoupling]
    Albalate, Daniel, Bel, Germà, and Mazaira-Font, Ferran A. 
    "Decoupling synthetic control methods to ensure stability, accuracy and meaningfulness." 
    *SERIEs*, 12(4): 549-584, 2021. 
    Publisher: Springer

.. [li2023statistical]
    Li, Kathleen T. and Sonnier, Garrett P. 
    "Statistical inference for the factor model approach to estimate causal effects in quasi-experimental settings." 
    *Journal of Marketing Research*, 60(3): 449–472, 2023. 
    Publisher: SAGE Publications

.. [microsynth]
    Robbins, Michael W., Saunders, Jessica, and Kilmer, Beau. 
    "A Framework for Synthetic Control Methods With High-Dimensional, Micro-Level Data: Evaluating a Neighborhood-Specific Crime Intervention." 
    *Journal of the American Statistical Association*, 112(517): 109-126, 2017. 
    DOI: https://doi.org/10.1080/01621459.2016.1213634

.. [Abadie2015]
    Abadie, Alberto, Diamond, Alexis, and Hainmueller, Jens. 
    "Comparative Politics and the Synthetic Control Method." 
    *American Journal of Political Science*, 59(2): 495-510, 2015. 
    DOI: https://doi.org/10.1111/ajps.12116

.. [malo2023computing]
    Malo, Pekka, Eskelinen, Juha, Zhou, Xun, and Kuosmanen, Timo. 
    "Computing synthetic controls using bilevel optimization." 
    *Computational Economics*, 2023. 
    DOI: https://doi.org/10.1007/s10614-023-10471-7

.. [jaumesparsesc]
    Vives-i-Bastida, Jaume. 
    "Predictor Selection for Synthetic Controls." 
    *Working Paper*, 2022. 
    URL: https://arxiv.org/abs/2203.11576

.. [causeimben]
    Imbens, Guido W. 
    "Causal Inference in the Social Sciences." 
    *Annual Review of Statistics and Its Application*, 11: 123-152, 2024. 
    DOI: https://doi.org/10.1146/annurev-statistics-033121-114601


.. [DAGUE2018]
    Dague, Laura and Lahey, Joanna N. 
    "Causal Inference Methods: Lessons from Applied Microeconomics." 
    *Journal of Public Administration Research and Theory*, 29(3): 511-529, 2018. 
    DOI: https://doi.org/10.1093/jopart/muy067


.. [ProxSCM]

    Shi, Xu, Kendrick Li, Wang Miao, Mengtong Hu, and Eric Tchetgen Tchetgen.
    "Theory for Identification and Inference with Synthetic Controls: A Proximal Causal Inference Framework."
    2023. https://doi.org/10.48550/arXiv.2108.13935


.. [ShiNegControl]

    Shi, Xu, Wang Miao, Jennifer C. Nelson, and Eric J. Tchetgen Tchetgen.
    "Multiply Robust Causal Inference with Double-Negative Control Adjustment for Categorical Unmeasured Confounding."
    *Journal of the Royal Statistical Society: Series B (Statistical Methodology)* 82, no. 2 (2020): 521-540.
    DOI: https://doi.org/10.1111/rssb.12361


.. [SPSC]

    Park, Chan, and Eric J. Tchetgen Tchetgen.
    "Single Proxy Synthetic Control."
    *Journal of Causal Inference* 13, no. 1 (2025): 20230079.
    DOI: https://doi.org/10.1515/jci-2023-0079


.. [DRProx]

    Qiu, Hongxiang, Xu Shi, Wang Miao, Edgar Dobriban, and Eric Tchetgen Tchetgen.
    "Doubly Robust Proximal Synthetic Controls."
    *Biometrics* 80, no. 2 (2024): ujae055.
    DOI: https://doi.org/10.1093/biomtc/ujae055



.. [ABADIE2003]
    Abadie, Alberto and Gardeazabal, Javier. 
    "The Economic Costs of Conflict: A Case Study of the Basque Country." 
    *American Economic Review*, 93(1): 113-132, 2003. 
    DOI: https://doi.org/10.1257/000282803321455188

.. [KINN2018]
    Kinn, Daniel. 
    "Synthetic Control Methods and Big Data." 
    *arXiv Working Paper*, 1803.00096, 2018. 
    DOI: https://doi.org/10.48550/arXiv.1803.00096

.. [WILTSHIRE2021]
    Wiltshire, Justin C. 
    "allsynth: Synthetic Control Bias-Correction Utilities for Stata." 
    *Working Paper*, 2021.

.. [GREATHOUSE2022]
    Greathouse, Jared. 
    "Scul: Regularized Synthetic Controls in Stata." 
    *Georgia State University*, 08, 2022. 
    DOI: https://doi.org/10.2139/ssrn.4196189

.. [ABADIE2024]
    Abadie, Alberto and Zhao, Jinglong. 
    "Synthetic Controls for Experimental Design." 
    *arXiv Working Paper*, 2108.02196, 2024. 
    DOI: https://arxiv.org/abs/2108.02196

.. [FERMAN2020]
    Ferman, Bruno, Pinto, Cristine, and Possebom, Vitor. 
    "Cherry Picking with Synthetic Controls." 
    *Journal of Policy Analysis and Management*, 39(2): 510-532, 2020. 
    DOI: https://doi.org/10.1002/pam.22206

.. [VIVIANO2023]
    Viviano, Davide and Bradic, Jelena. 
    "Synthetic Learner: Model-free inference on treatments over time." 
    *Journal of Econometrics*, 234(2): 691-713, 2023. 
    DOI: https://doi.org/10.1016/j.jeconom.


.. [RCM2022]
    Yan, Guanpeng and Chen, Qiang. 
    "rcm: A command for the regression control method." 
    *The Stata Journal*, 22(4): 842-883, 2022. 
    URL: https://doi.org/10.1177/1536867X221140960

.. [ABADIE2010]
    Abadie, Alberto, Diamond, Alexis, and Hainmueller, Jens.
    "Synthetic Control Methods for Comparative Case Studies: Estimating the Effect of California’s Tobacco Control Program."
    *Journal of the American Statistical Association*, 105(490): 493-505, 2010.
    URL: https://doi.org/10.1198/jasa.2009.ap08746

.. [FSCM]
    Cerulli, Giovanni.
    "Optimal initial donor selection for the synthetic control method."
    *Economics Letters*, 244: 111976, 2024.
    DOI: https://doi.org/10.1016/j.econlet.2024.111976

.. [FECT2024]
    Liu, Licheng, Wang, Ye, and Xu, Yiqing. 
    "A Practical Guide to Counterfactual Estimators for Causal Inference with Time-Series Cross-Sectional Data." 
    *American Journal of Political Science*, 68(1): 160-176, 2024. 
    URL: https://doi.org/10.1111/ajps.12723

.. [SYNTH22023]
    Yan, Guanpeng and Chen, Qiang. 
    "synth2: Synthetic control method with placebo tests, robustness test, and visualization." 
    *The Stata Journal*, 23(3): 597-624, 2023. 
    URL: https://doi.org/10.1177/1536867X231195278


.. [Xu2017] Xu, Yiqing. “Generalized Synthetic Control Method: Causal Inference with Interactive Fixed Effects Models.” *Political Analysis* 25, no. 1 (2017): 57–76. https://doi.org/10.1017/pan.2016.2.

.. [MCNNM]
    Athey, Susan, Bayati, Mohsen, Doudchenko, Nikolay, Imbens, Guido, and Khosravi, Khashayar.
    "Matrix Completion Methods for Causal Panel Data Models."
    *Journal of the American Statistical Association*, 116(536): 1716-1730, 2021.
    DOI: https://doi.org/10.1080/01621459.2021.1891924

.. [Mazumder2010]
    Mazumder, Rahul, Hastie, Trevor, and Tibshirani, Robert.
    "Spectral Regularization Algorithms for Learning Large Incomplete Matrices."
    *Journal of Machine Learning Research*, 11: 2287-2322, 2010.

.. [MSQRT]
    Shen, Zikai, Song, Xinkun, and Abadie, Alberto.
    "Efficiently Learning Synthetic Control Models for High-dimensional Disaggregated Data."
    *arXiv Working Paper*, 2510.22828, 2025.
    URL: https://arxiv.org/abs/2510.22828

.. [SCPI]
    Cattaneo, Matias D., Feng, Yingjie, Palomba, Filippo, and Titiunik, Rocío.
    "Uncertainty Quantification in Synthetic Controls with Staggered Treatment Adoption."
    *Review of Economics and Statistics* (forthcoming); *arXiv Working Paper*, 2210.05026, 2025.
    URL: https://arxiv.org/abs/2210.05026

.. [SSC]
    Cao, Jianfei, Lu, Shirley, and Wu, Hang.
    "Synthetic Control Inference for Staggered Adoption."
    *The Econometrics Journal* (forthcoming), 2026. URL: https://doi.org/10.1093/ectj/utag015

.. [RMSI]
    Agarwal, Anish, Choi, Jungjun, and Yuan, Ming.
    "Robust Matrix Estimation with Side Information."
    *arXiv Working Paper*, 2603.24833, 2026. URL: https://arxiv.org/abs/2603.24833

.. [SPOTSYNTH]
    O'Riordan, Michael, and Gilligan-Lee, Ciarán M.
    "Spillover Detection for Donor Selection in Synthetic Control Models."
    *Journal of Causal Inference* 13(1):20240036, 2025.
    URL: https://doi.org/10.1515/jci-2024-0036

.. [SYNDES]
    Doudchenko, Nick, Khosravi, Khashayar, Pouget-Abadie, Jean, Lahaie, Sebastien,
    Lubin, Miles, Mirrokni, Vahab, Spiess, Jann, and Imbens, Guido.
    "Synthetic Design: An Optimization Approach to Experimental Design with Synthetic Controls."
    *Advances in Neural Information Processing Systems (NeurIPS)*, 2021.
    arXiv:2112.00278. URL: https://arxiv.org/abs/2112.00278

.. [SPCD]
    Lu, Yiping, Li, Jiajin, Ying, Lexing, and Blanchet, Jose.
    "Synthetic Principal Component Design: Fast Covariate Balancing with Synthetic Controls."
    *arXiv Working Paper*, 2211.15241, 2022.
    URL: https://arxiv.org/abs/2211.15241

.. [HSC]
    Liu, Ziyi, and Xu, Yiqing.
    "The Harmonic Synthetic Control Method."
    *Working Paper*, 2026.

.. [PPSCM]
    Ben-Michael, Eli, Feller, Avi, and Rothstein, Jesse.
    "Synthetic Controls with Staggered Adoption."
    *Journal of the Royal Statistical Society: Series B*, 84(2): 351-381, 2022.
    DOI: https://doi.org/10.1111/rssb.12448

.. [SIV]
    Gulek, Atilla, and Vives-i-Bastida, Jaume.
    "Synthetic IV Estimation in Panels."
    *Working Paper*, 2024.

.. [TASC]
    Rho, Saeyoung, Illick, Cyrus, Narasipura, Samhitha, Abadie, Alberto,
    Hsu, Daniel, and Misra, Vishal.
    "Time-Aware Synthetic Control."
    *arXiv Preprint*, 2601.03099, 2026.
    URL: https://arxiv.org/abs/2601.03099

.. [ADH]
    Autor, David H., Dorn, David, and Hanson, Gordon H.
    "The China Syndrome: Local Labor Market Effects of Import Competition
    in the United States."
    *American Economic Review*, 103(6): 2121-2168, 2013.
    DOI: https://doi.org/10.1257/aer.103.6.2121

.. [LinfSC]
    Wang, Xing, and Ye.
    *"L-infinity-norm Synthetic Control."*
    Working Paper. (Title, journal, year, and DOI to be completed.)

.. [RelaxSC]
    Liao, Shi, and Zheng.
    *"Synthetic Control Relaxation."*
    Working Paper. (Title, journal, year, and DOI to be completed.)

.. [LiSCMN]
    Li.
    *"Synthetic Control Methods."*
    Working Paper. (Authors, title, journal, year, and DOI to be completed.)
