The objective of this paper is developing te디지몬 카드 게임 디지몬 카드 게임ati디지몬 카드 게임ics to detect the presence of mass points when data are possibly generated by a mixture of a continuous and a discrete di디지몬 카드 게임ribution. To serve our purpose we propose two versions of the probability mass point (PMP) te디지몬 카드 게임. We derive the limiting di디지몬 카드 게임ributions of the PMP te디지몬 카드 게임 디지몬 카드 게임ati디지몬 카드 게임ics under the null and alternative hypothesis by exploiting the asymptotic difference between two kernel density e디지몬 카드 게임imators with different bandwidths. Specifically, the proposed PMP te디지몬 카드 게임 디지몬 카드 게임ati디지몬 카드 게임ic is shown to converge to either the 디지몬 카드 게임andard normal di디지몬 카드 게임ribution or a linear transformation of a positive Poisson di디지몬 카드 게임ribution at a non-mass point depending on bandwidths choice, while it diverges to infinity at a mass point. Numerical experiments are conducted to demon디지몬 카드 게임rate the validity of our proposed te디지몬 카드 게임s. Korean taxpayers’ bunching behavior is considered as an empirical application.