Approximate permutation tests and induced order statistics in the regression discontinuity design

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Comparing distributions by multiple testing across quantiles or CDF values (2017, background): “Theoretically, as in Section 6.1, asymptotic justification of Method 7 comes from Theorem 4.1 of Canay and Kamat (2017).”
Regression Discontinuity Designs (2021, unknown): “Canay and Kamat (2018) discuss an approach based on asymptotic permutation tests, which leads to a randomization inference implementation (Section 3.”
Testing continuity of a density via g-order statistics in the regression discontinuity design (2018, background): “However, it is worth noting that the hypotheses we test, the test statistic, the critical value, and most of the formal arguments are different from those in Canay and Kamat (2018) or Canay, Romano and Shaikh (2017).”
Breaking Ties: Regression Discontinuity Design Meets Market Design (2019, methodology): “(2015, 2017), and Canay and Kamat (2017), along with optimal inference and estimation strategies such as those introduced by Armstrong and Kolesár (2018) and Imbens and Wager (2019). Also on the agenda, Narita (2020) suggests a path toward generalization of the large-market model of DA assignment ri”
A Practical Introduction to Regression Discontinuity Designs (2019, methodology): “Lee (2008) applies and extends these ideas to the context of RD designs, and Canay and Kamat (2018) develop a permutation inference approach in the same context.”