Task Design for Klein’s Second Discontinuity

Household electricity demand estimation: a regression discontinuity design approach

Estimating electricity demand elasticity in different sectors has been an essential research topic. Considering the fact that pricing electricity in various countries does not follow the same rules, many econometrics methods have been developed to estimate this crucial parameter. Electricity demand elasticity is defined as the percent change in electricity consumption in response to one percent...

Regression Discontinuity Design with Covariates

Regression Discontinuity Design with Covariates In this paper, the regression discontinuity design (RDD) is generalized to account for differences in observed covariates X in a fully nonparametric way. It is shown that the treatment effect can be estimated at the rate for one-dimensional nonparametric regression irrespective of the dimension of X. It thus extends the analysis of Hahn, Todd, and...

Second Order Variational Problems with Free Discontinuity and Free Gradient Discontinuity

Anharmonic oscillator discontinuity formulae up to second-exponentially-small order

The eigenvalues of the quartic anharmonic oscillator as functions of the anharmonicity constant satisfy a once-subtracted dispersion relation. In turn, this dispersion relation is driven by the purely imaginary discontinuity of the eigenvalues across the negative real axis. In this paper we calculate explicitly the asymptotic expansion of this discontinuity up to second-exponentially-small orde...

Jump or Kink? Identification of Binary Treatment Regression Discontinuity Design without the Discontinuity

Standard Regression Discontinuity (RD) designs exploit a discontinuity (a jump) in the treatment probability to identify a local average treatment effect (LATE). RD identification fails or is weak when there is no jump or the jump is small. Unlike regression kink design (RKD), which requires a continuous treatment, this paper considers a binary treatment. This paper shows that without a jump, o...