{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,19]],"date-time":"2026-08-19T18:46:18Z","timestamp":1787165178623,"version":"build-2736575974"},"reference-count":36,"publisher":"Oxford University Press (OUP)","issue":"1","license":[{"start":{"date-parts":[[2023,10,27]],"date-time":"2023-10-27T00:00:00Z","timestamp":1698364800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/academic.oup.com\/pages\/standard-publication-reuse-rights"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["92046021"],"award-info":[{"award-number":["92046021"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12071013"],"award-info":[{"award-number":["12071013"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12026607"],"award-info":[{"award-number":["12026607"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Key Laboratory of Mathematical Economics and Quantitative Finance at Peking university"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2024,2,8]]},"abstract":"<jats:title>Abstract<\/jats:title>\n                  <jats:p>Motivated by evaluating the effects of air pollution alerts on air quality, we propose the dynamic synthetic control method for micro-level data with time-varying confounders and spatial dependence under an auto-regressive model setting. We employ the empirical likelihood to define the synthetic control weights, which ensures a unique solution and permits theoretical analysis. The dynamic matching increases the feasibility of matching and enables us to assess the unconfoundedness assumption using pre-treatment data. For statistical inference, we develop a normalised placebo test to address the asymmetry issue. The method is illustrated and evaluated on numerical simulations and a case study on air pollution alerts.<\/jats:p>","DOI":"10.1093\/jrsssb\/qkad103","type":"journal-article","created":{"date-parts":[[2023,10,18]],"date-time":"2023-10-18T16:49:49Z","timestamp":1697647789000},"page":"155-176","source":"Crossref","is-referenced-by-count":6,"title":["Dynamic synthetic control method for evaluating treatment effects in auto-regressive processes"],"prefix":"10.1093","volume":"86","author":[{"given":"Xiangyu","family":"Zheng","sequence":"first","affiliation":[{"name":"Guanghua School of Management, Peking University , Beijing , P.R. China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2338-0873","authenticated-orcid":false,"given":"Song Xi","family":"Chen","sequence":"additional","affiliation":[{"name":"Guanghua School of Management, Peking University , Beijing , P.R. 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