Before revision:  Thus, while traditional asymptotics in RDD require a growing number of observations local to the cut-off as n grows, our framework allows for the number q of observations local to the cut-off to be fixed as n grows.
After revision:  Thus, while traditional asymptotic analysis in RDD requires a growing number of observations local to the cut-off as n grows, our framework allows for the number q of observations local to the cut-off to be fixed as n grows.