This document has not been cited yet.

1. 1.1.2. Probabilistic Bounds. We start by lower bounding the probability of B. By Assumption A.4(a), we have that kX2 j,tkψp/2 ≤ C for some constant depending only on ψp. For the polinomial case it follows from Cauchy-Schawartz inequality. For the exponential case it follows from Lemma C.18 in Fan, Masini and Medeiros (2021a).
   Paper not yet in RePEc: Add citation now
   

2. Abadie, Alberto (2021) “Using synthetic controls: Feasibility, data requirements, and methodological aspects,” Journal of Economic Literature, 59 (2), 391–425.

3. Abadie, Alberto and Jeremy L’Hour (2021) “A Penalized Synthetic Control Estimator for Disaggregated Data,” Journal of the American Statistical Association, 116 (536), 1817–1834.

4. Abadie, Alberto and Matias D Cattaneo (2018) “Econometric methods for program evaluation,” Annual Review of Economics, 10, 465–503.
   Paper not yet in RePEc: Add citation now
   

5. Acemoglu, Daron, Simon Johnson, Amir Kermani, James Kwak, and Todd Mitton (2016) “The value of connections in turbulent times: Evidence from the United States,” Journal of Financial Economics, 121 (2), 368–391.

6. Angrist, Joshua, Victor Chernozhukov, and Iván Fernández-Val (2006) “Quantile Regression under Misspecification, with an Application to the U.S. Wage Structure, ” Econometrica, 74 (2), 539–563.

7. Belloni, Alexandre and Victor Chernozhukov (2011) “l1-penalized quantile regression in high-dimensional sparse models,” The Annals of Statistics, 39 (1), 82–130.
   Paper not yet in RePEc: Add citation now
   
8. Belloni, Alexandre, Victor Chernozhukov, and Christian Hansen (2014) “HighDimensional Methods and Inference on Structural and Treatment Effects,” Journal of Economic Perspectives, 28 (2), 29–50.
   Paper not yet in RePEc: Add citation now
   

9. Carvalho, Carlos V., Ricardo Masini, and Marcelo C. Medeiros (2018) “ArCo: An artificial counterfactual approach for high-dimensional panel time-series data,” Journal of Econometrics, 207 (2), 352–380.

10. Chen, Yi-Ting (2020) “A distributional synthetic control method for policy evaluation, ” Journal of Applied Econometrics, 35 (5), 505–525.

11. Chernozhukov, Victor and Christian Hansen (2005) “An IV model of quantile treatment effects,” Econometrica, 73, 245–261.

12. Chernozhukov, Victor, Iván Fernández-Val, and Alfred Galichon (2010) “Quantile and probability curves without crossing,” Econometrica, 78 (3), 1093–1125.

13. Conditional on X1, . . . , XT0 and U1, . . . UT0 , the process {T −1/2 PT0 t=1 W0 t,j(τ) : τ ∈ T } is Sub-Gaussian with respect to the semi-metric kkPn,2. Let Pε be the law with respect to the Rademacher random variables and kke2,Pε denote the ψ-Orlicz norm with ψ(x) = exp x2 + 1 respect to Pε. Then for any τ0 ∈ T , by Corollary 2.2.8 in Van Der Vaart and Wellner (1996), kT −1/2 0 S0 j ke2,Pε ≤ kT −1/2 T0 X t=1 εtWt,j(τ0)ke2,Pε + C ≤ 2 T−1 T0 X t=1 W2 t,j(τ0) !1/2 + C ≤ 2 + C =: C1 Then, for x > 0, P(S0 j > x √ T0) ≤ 2 exp[−(x/C1)2 ] by Lemma C.17 in Fan, Masini and Medeiros (2021a). Set x = 4ϑC1 √ T0 log n for ϑ ≥ 1 to conclude that P(Sj > x) ≤ 4EεPε(S0 j > x/4) ≤ 8n−ϑ2 , and therefore P(A ) ≥ 1 − 8n−ϑ2+1 for λ0 := 4C1ϑ q log n T0 and ϑ ≥ 1.
    Paper not yet in RePEc: Add citation now
    
14. Define the function class F := {(x, u) 7→ x(1{u ≤ τ} − τ)/vj : τ ∈ T }. Since F is has VC dimension at most 6 with envelope function F(x) := |x|/vj, Lemma 2.6.7 in Van Der Vaart and Wellner (1996) ensures that N(kFkQ,2, F, L2(Q)) ≤ C−10 for some constant C, for all ∈ (0, 1), and any probability measure Q. Then, kFkPn,2 Z 1 q log N(kFkQ,2, F, L2(Q))d ≤ 1 × C.
    Paper not yet in RePEc: Add citation now
    
15. DISTRIBUTIONAL COUNTERFACTUAL ANALYSIS 3 We now bound the probability of A . Let Aj := {supτ∈T |T−1 PT0 t=1 Wt,j(τ)| ≤ λ0} for 1 ≤ j ≤ n and λ0 > 0. Then A = Tn j=1 Aj. By the union bound P(A c ) = P( Sn j=1 A c j ) ≤ n maxj P(A c j ). Let W0 t,j(τ) = εtWt,j for 1 ≤ t ≤ T0, 1 ≤ j ≤ n and τ ∈ T , where ε1, . . . εT0 is an iid sequence of Rademacher random variables independent of X1, . . . , XT0 and U1, . . . UT0 . Let Sj := supτ∈T | PT0 t=1 Wt,j(τ)|. By a symmetrization argument, Lemma 2.3.7 in Van Der Vaart and Wellner (1996) , we have P(Sj > x) ≤ 4P(S0 j > x/4); x ≥ √ 8C where S0 j is defined as Sj but with Wt,j replaced by the W0 t,j.
    Paper not yet in RePEc: Add citation now
    
16. Fan, Jianqing, Ricardo Masini, and Marcelo C. Medeiros (2021a) “Bridging factor and sparse models.” (2021b) “Do we exploit all information for counterfactual analysis? benefits of factor models and idiosyncratic correction,” Journal of the American Statistical Association, 1 (forthcoming), 1–53.
    Paper not yet in RePEc: Add citation now
    
17. Feng, Yingjie (2021) “Causal Inference in Possibly Nonlinear Factor Models.” He, Xuming, Lan Wang, and Hyokyoung Grace Hong (2013) “Quantile-adaptive model-free variable screening for high-dimensional heterogeneous data,” The Annals of Statistics, 41 (1), 342 – 369, 10.1214/13-AOS1087.
    Paper not yet in RePEc: Add citation now
    

18. Koenker, Roger, Samantha Leorato, and Franco Peracchi (2013) “Distributional vs. quantile regression,” CEIS Working Paper No 300, 1 (1).

19. Talagrand, Michel (1989) “Isoperimetry and integrability of the sum of independent Banach-space valued random variables,” The Annals of Probability, 1546–1570.
    Paper not yet in RePEc: Add citation now
    
20. Then k PT0 t=1 X2 j,t − EX2 j,tkψp/2 ≤ C √ T0. The polinominal case follows from the Marcinkiewicz-Zygmund inequality while the exponential case can be derived from Theorem 3 and 4 in Talagrand (1989). By Markov’s inequality, for x > 0: P(|vj − Evj| > x) ≤ ψp/2(x √ T0/C) . Hence, using A.4(b) and the union bound we conclude that P(B) ≥ P(kv − Evk∞ ≤ C/2) = 1 − P(kv − Evk∞ > C/2) ≥ 1 − n max 1≤j≤n P(|vj − Evj| > C/2) ≥ 1 − n ψp/2(C1 √ T0) .
    Paper not yet in RePEc: Add citation now
    
21. Van Der Vaart, Aad and Jon Wellner (1996) Weak convergence and empirical processes: with applications to statistics: Springer Science & Business Media. DISTRIBUTIONAL COUNTERFACTUAL ANALYSIS 1 Supplemental Material: Distributional Counterfactual Analysis in High-Dimensional Setup This supplemental material is organized in two sections. The first one contains the proofs of Theorem 1 and 2 stated in Section 3.2 of the main text. The second section collects additional figures from the empirical exercises described in Section 5 of the main text.
    Paper not yet in RePEc: Add citation now
    

1. Distributional counterfactual analysis in high-dimensional setup. (2025). Masini, Ricardo.
   In: Journal of Econometrics.
   RePEc:eee:econom:v:249:y:2025:i:pa:s0304407624000216.

   Full description at Econpapers || Download paper

2. Synthetic Controls for Experimental Design. (2025). Abadie, Alberto ; Zhao, Jinglong.
   In: Papers.
   RePEc:arx:papers:2108.02196.

   Full description at Econpapers || Download paper

3. Regulating the sharing economy: The effects of day caps on short- and long-term rental markets and stakeholder outcomes. (2024). Gauss, Patrick ; Schneider, Andrea ; Riedel, Nadine ; Kortenhaus, Michael ; Gensler, Sonja.
   In: Journal of the Academy of Marketing Science.
   RePEc:spr:joamsc:v:52:y:2024:i:6:d:10.1007_s11747-024-01028-7.

   Full description at Econpapers || Download paper

4. The euro and inflation in Croatia: much ado about nothing?. (2024). Sorić, Petar.
   In: Public Sector Economics.
   RePEc:ipf:psejou:v:48:y:2024:i:1:p:1-37.

   Full description at Econpapers || Download paper

5. On the Impact of Next Generation EU Funds: A Regional Synthetic Control Method Approach. (2023). Tortosa-Ausina, Emili ; Espinosa, Priscila ; Aparicio-Perez, Daniel.
   In: Working Papers.
   RePEc:jau:wpaper:2023/07.

   Full description at Econpapers || Download paper

6. Distributional Counterfactual Analysis in High-Dimensional Setup. (2023). Masini, Ricardo.
   In: Papers.
   RePEc:arx:papers:2202.11671.

   Full description at Econpapers || Download paper

7. The True Cost of War. (2022). Onder, Harun ; Gomez-Parra, Nicolas ; Artuc, Erhan.
   In: Policy Research Working Paper Series.
   RePEc:wbk:wbrwps:10217.

   Full description at Econpapers || Download paper

8. Estimating the Economic Effects of US State and Local Fiscal Policy: A Synthetic Control Method Matched Regression Approach. (2022). WANG, HONGBO ; Rickman, Dan.
   In: MPRA Paper.
   RePEc:pra:mprapa:112575.

   Full description at Econpapers || Download paper

9. The effect of COVID certificates on vaccine uptake, health outcomes, and the economy. (2022). Wolff, Guntram ; Oliu-Barton, Miquel ; Guetta-Jeanrenaud, Lionel ; Fontanet, Arnaud ; Martin, Philippe ; Aghion, Philippe ; Artus, Patrick ; Woloszko, Nicolas.
   In: Nature Communications.
   RePEc:nat:natcom:v:13:y:2022:i:1:d:10.1038_s41467-022-31394-1.

   Full description at Econpapers || Download paper

10. Spillover Effects of Grocery Bag Legislation: Evidence of Bag Bans and Bag Fees. (2022). Woodward, Richard ; Huang, Yu-Kai.
    In: Environmental & Resource Economics.
    RePEc:kap:enreec:v:81:y:2022:i:4:d:10.1007_s10640-022-00646-5.

    Full description at Econpapers || Download paper

11. The European Union and within-country income inequalities. The case of the New Member States. (2022). Serwach, Tomasz.
    In: Working Papers.
    RePEc:hal:wpaper:hal-03548416.

    Full description at Econpapers || Download paper

12. The Early Effect of Black Land Protection Plan in Northeast China on Industrial Pollution Using Synthetic Control Method. (2022). Tang, Zhipeng ; Song, Wenming ; Zou, Jialing.
    In: Land.
    RePEc:gam:jlands:v:11:y:2022:i:4:p:585-:d:795483.

    Full description at Econpapers || Download paper

13. Modeling patent clarity. (2022). Ashtor, Jonathan H.
    In: Research Policy.
    RePEc:eee:respol:v:51:y:2022:i:2:s0048733321002109.

    Full description at Econpapers || Download paper

14. Conditional cash lotteries increase COVID-19 vaccination rates. (2022). West, Jeremy ; Barber, Andrew.
    In: Journal of Health Economics.
    RePEc:eee:jhecon:v:81:y:2022:i:c:s0167629621001636.

    Full description at Econpapers || Download paper

15. Carbon pricing and power sector decarbonization: Evidence from the UK. (2022). Leroutier, Marion.
    In: Journal of Environmental Economics and Management.
    RePEc:eee:jeeman:v:111:y:2022:i:c:s0095069621001285.

    Full description at Econpapers || Download paper

16. Coming Out of the Woods. Do local support services influence the propensity to report sexual violence?. (2022). Iammarino, Simona ; Denti, Daria.
    In: Journal of Economic Behavior & Organization.
    RePEc:eee:jeborg:v:193:y:2022:i:c:p:334-352.

    Full description at Econpapers || Download paper

17. The German eco tax and its impact on CO2 emissions. (2022). Runst, Petrik ; Hohle, David.
    In: Energy Policy.
    RePEc:eee:enepol:v:160:y:2022:i:c:s0301421521005206.

    Full description at Econpapers || Download paper

18. Institutional integration and productivity growth: Evidence from the 1995 enlargement of the European Union. (2022). Franceschi, Emanuele ; coricelli, fabrizio ; Campos, Nauro.
    In: European Economic Review.
    RePEc:eee:eecrev:v:142:y:2022:i:c:s0014292121002828.

    Full description at Econpapers || Download paper

19. Consumption effects of mortgage payment. (2022). Albuquerque, Bruno ; Varadi, Alexandra.
    In: Bank of England working papers.
    RePEc:boe:boeewp:0963.

    Full description at Econpapers || Download paper

20. The impact of sports stadiums on localized commercial activity: Evidence from a Business Improvement District. (2022). Bradbury, John.
    In: Journal of Regional Science.
    RePEc:bla:jregsc:v:62:y:2022:i:1:p:194-217.

    Full description at Econpapers || Download paper

21. Synthetic Controls in Action. (2022). Abadie, Alberto ; Vives, Jaume.
    In: Papers.
    RePEc:arx:papers:2203.06279.

    Full description at Econpapers || Download paper

22. Confidence Intervals of Treatment Effects in Panel Data Models with Interactive Fixed Effects. (2022). Zhou, Qiankun ; Shen, Yan ; Li, Xingyu.
    In: Papers.
    RePEc:arx:papers:2202.12078.

    Full description at Econpapers || Download paper

23. Synthetic Control As Online Linear Regression. (2022). Chen, Jiafeng.
    In: Papers.
    RePEc:arx:papers:2202.08426.

    Full description at Econpapers || Download paper

24. Vaccination nudges: A study of pre-booked COVID-19 vaccinations in Sweden. (2022). Jakobsson, Niklas ; Ekman, Mats ; Bonander, Carl.
    In: Papers.
    RePEc:arx:papers:2202.04931.

    Full description at Econpapers || Download paper

25. Do price reductions attract customers in urban public transport? A synthetic control approach. (2022). von Arx, Widar ; Blattler, Kevin ; Wallimann, Hannes.
    In: Papers.
    RePEc:arx:papers:2111.14613.

    Full description at Econpapers || Download paper

26. The Coevolution of Policy Support and Farmers Behaviour. An investigation on Italian agriculture over the 2008-2019 period.. (2022). Esposti, Roberto.
    In: Working Papers.
    RePEc:anc:wpaper:464.

    Full description at Econpapers || Download paper

27. Cluster-Robust Inference: A Guide to Empirical Practice. (2022). Nielsen, Morten ; MacKinnon, James.
    In: CREATES Research Papers.
    RePEc:aah:create:2022-08.

    Full description at Econpapers || Download paper

28. Bargaining Power and the Labor Share - a Structural Break Approach. (2021). Kraft, Kornelius ; Lammers, Alexander.
    In: VfS Annual Conference 2021 (Virtual Conference): Climate Economics.
    RePEc:zbw:vfsc21:242342.

    Full description at Econpapers || Download paper

29. Death Penalty Statutes and Murder Rates: Evidence From Synthetic Controls. (2021). Parker, Brett.
    In: Journal of Empirical Legal Studies.
    RePEc:wly:empleg:v:18:y:2021:i:3:p:488-533.

    Full description at Econpapers || Download paper

30. The Macroeconomic Impact of Recent Political Conflicts in Africa: Generalized Synthetic Counterfactual Evidence. (2021). Tchamyou, Vanessa ; Diop, Samba ; Asongu, Simplice.
    In: MPRA Paper.
    RePEc:pra:mprapa:110696.

    Full description at Econpapers || Download paper

31. A hard look at soft cost-control measures in healthcare organizations: Evidence from preferred drug policies in Germany. (2021). Blankart, Katharina ; Avdic, Daniel.
    In: Centre for Health Economics, Monash University.
    RePEc:mhe:chemon:2021-07.

    Full description at Econpapers || Download paper

32. The Effect of the Sex Buyer Law on the Market for Sex, Sexual Health and Sexual Violence. (2021). Nguyen, Thien ; Backus, Peter.
    In: Economics Discussion Paper Series.
    RePEc:man:sespap:2106.

    Full description at Econpapers || Download paper

33. Institutional Integration and Productivity Growth: Evidence from the 1995 Enlargement of the European Union. (2021). Franceschi, Emanuele ; coricelli, fabrizio ; Campos, Nauro.
    In: IZA Discussion Papers.
    RePEc:iza:izadps:dp14834.

    Full description at Econpapers || Download paper

34. Carbon Pricing and Power Sector Decarbonisation: Evidence from the UK. (2021). Leroutier, Marion.
    In: Misum Working Paper Series.
    RePEc:hhs:hamisu:2021_003.

    Full description at Econpapers || Download paper

35. Carbon Pricing and Power Sector Decarbonisation: Evidence from the UK. (2021). Leroutier, Marion.
    In: Working Papers.
    RePEc:hal:wpaper:halshs-03265636.

    Full description at Econpapers || Download paper

36. Carbon Pricing and Power Sector Decarbonisation: Evidence from the UK. (2021). Leroutier, Marion.
    In: PSE Working Papers.
    RePEc:hal:psewpa:halshs-03265636.

    Full description at Econpapers || Download paper

37. Carbon Pricing and Power Sector Decarbonisation: Evidence from the UK. (2021). Leroutier, Marion.
    In: CIRED Working Papers.
    RePEc:hal:ciredw:halshs-03265636.

    Full description at Econpapers || Download paper

38. The Macroeconomic Impact of Recent Political Conflicts in Africa: Generalized Synthetic Counterfactual Evidence. (2021). Tchamyou, Vanessa ; Diop, Samba ; Asongu, Simplice.
    In: Working Papers.
    RePEc:exs:wpaper:21/060.

    Full description at Econpapers || Download paper

39. Impacts of COVID-19 on urban rail transit ridership using the Synthetic Control Method. (2021). Feng, Shumin ; Xin, Mengwei ; Zhao, HU ; Shalaby, Amer.
    In: Transport Policy.
    RePEc:eee:trapol:v:111:y:2021:i:c:p:1-16.

    Full description at Econpapers || Download paper

40. The effect of changes in alcohol tax differentials on alcohol consumption. (2021). Saffer, Henry ; Grossman, Michael ; Gehrsitz, Markus.
    In: Journal of Public Economics.
    RePEc:eee:pubeco:v:204:y:2021:i:c:s0047272721001560.

    Full description at Econpapers || Download paper

41. Modest and incomplete incentives may work: Pricing plastic bags in Uruguay. (2021). Cid, Alejandro ; Caffera, Marcelo ; Cabrera, José María.
    In: Journal of Environmental Economics and Management.
    RePEc:eee:jeeman:v:110:y:2021:i:c:s0095069621000899.

    Full description at Econpapers || Download paper

42. School openings and the COVID-19 outbreak in Italy. A provincial-level analysis using the synthetic control method. (2021). Ercolano, Salvatore ; Alfano, Vincenzo ; Cicatiello, Lorenzo.
    In: Health Policy.
    RePEc:eee:hepoli:v:125:y:2021:i:9:p:1200-1207.

    Full description at Econpapers || Download paper

43. Extending alcohol retailers’ opening hours: Evidence from Sweden. (2021). von Hinke, Stephanie ; Avdic, Daniel.
    In: European Economic Review.
    RePEc:eee:eecrev:v:138:y:2021:i:c:s0014292121001665.

    Full description at Econpapers || Download paper

44. The effect of doubling the minimum wage on employment and earnings in Mexico. (2021). Esquivel, Gerardo ; Campos-Vazquez, Raymundo.
    In: Economics Letters.
    RePEc:eee:ecolet:v:209:y:2021:i:c:s0165176521004018.

    Full description at Econpapers || Download paper

45. The Implications of Monetary Union for Income Inequality: An Empirical Assessment. (2021). Kerschbaumer, Florentin ; Maschke, Andreas.
    In: Wirtschaft und Gesellschaft - WuG.
    RePEc:clr:wugarc:y:2021v:47i:4p:537.

    Full description at Econpapers || Download paper

46. The Effect of Islamic Revolution and War on Income Inequality in Iran. (2021). Farzanegan, Mohammad Reza ; Kadivar, Mohammad Ali.
    In: CESifo Working Paper Series.
    RePEc:ces:ceswps:_9428.

    Full description at Econpapers || Download paper

47. Breaking up is hard to do: Lessons from the strange case of New Zealand. (2021). Munger, Michael C ; Grier, Kevin B.
    In: Social Science Quarterly.
    RePEc:bla:socsci:v:102:y:2021:i:6:p:2565-2577.

    Full description at Econpapers || Download paper

48. A Hard Look at “Soft” Cost‐control Measures in Healthcare Organizations: Evidence from Preferred Drug Policies in Germany. (2021). Blankart, Katharina ; Avdic, Daniel.
    In: CINCH Working Paper Series (since 2020).
    RePEc:ajt:wcinch:74978.

    Full description at Econpapers || Download paper

49. The Macroeconomic Impact of Recent Political Conflicts in Africa: Generalized Synthetic Counterfactual Evidence. (2021). Tchamyou, Vanessa ; Diop, Samba ; Asongu, Simplice.
    In: Working Papers of the African Governance and Development Institute..
    RePEc:agd:wpaper:21/060.

    Full description at Econpapers || Download paper

50. Working Paper 356 - Eurobonds, debt sustainability and macroeconomic performance in Africa: Synthetic controlled experiments. (2021). Chuku, Chuku ; Yenice, Mustafa Yasin.
    In: Working Paper Series.
    RePEc:adb:adbwps:2482.

    Full description at Econpapers || Download paper

Report date: 2025-09-13 00:53:17 || Missing content? Let us know