Regression discontinuity designs with unknown discontinuity points: Testing and estimation

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Regression Discontinuity Designs (2021, unknown): “estimation and RBC inference in an RD design with continuous treatment, and Chiang, Hsu, and Sasaki (2019), Qu and Yoon (2019), Chen, Chiang, and Sasaki (2020), and Huang and Zhan (2021)”
Threshold Regression With a Threshold Boundary (2020, methodology): “Second, combining with the analysis in Porter and Yu (2015), Yu and Phillips (2018a), and Yu, Liao, and Phillips (2018), we can estimate the nonparametric threshold regression with a nonparametric threshold boundary, y = { m1(x, q) + ε1, m2(x, q) + ε2, q ≤ g(z), q > g(z).”
Identifying Platform Effects in Social Media Data (2016, unknown): “Extensions to regression discontinuity are also relevant, for example in how Porter and Yu (2015) develop speciﬁcation tests into tests for unknown discontinuities.”
Threshold Regression with Endogeneity (2017, unknown): “This assumption is important in deriving the asymptotic distribution of the IDKE of γ ; see Appendix A of Porter and Yu (2015) for some related discussion in the DKE case.”