This paper is motivated by our attempt to answer a policy question: how is private health insurance take-up in Australia affected by the income threshold at which the Medicare Levy Surcharge (MLS) kicks in? We propose a new difference deconvolution kernel estimator for the location and size of regression discontinuities. We also propose a bootstrapping procedure for estimating the confidence interval for the estimated discontinuity. Performance of the estimator is evaluated by Monte Carlo simulations before it is applied to estimating the effect of the income threshold of MLS on the take-up of private health insurance in Australia, using contaminated data.
Gong, X., & Gao, J. (2018). Nonparametric kernel estimation of the impact of tax policy on the demand for private health insurance in Australia. Australian and New Zealand Journal of Statistics, 60(3), 374–393. https://doi.org/10.1111/anzs.12240