We show that Bertrand et al.'s (QJE, 2015, ) finding of a sharp drop in the relative income distribution within married couples at the point where wives start to earn more than their husbands is unstable across different estimation procedures and varies across contexts. We apply the estimators by McCrary (JoE, 2008, McC) and Cattaneo et al. (JASA, 2020, CJM) to administrative data from the United States and Germany and compare their performance in a simulation. Large bins cause McC to substantially overreject the null hypothesis, and mass points close to the potential discontinuity affect McC more than CJM.

中文翻译：

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重新审视家庭内的性别认同和相对收入：关于密度估计器潜在陷阱的警示故事

我们表明，Bertrand 等人 (QJE, 2015, ) 发现，在妻子开始比丈夫挣得更多的时候，已婚夫妇的相对收入分配急剧下降，这在不同的估计程序中是不稳定的，并且在不同的情况下会有所不同. 我们应用了 McCrary (JoE, 2008, McC) 和 Cattaneo 等人的估计量。(JASA, 2020, CJM) 与美国和德国的行政数据进行比较，并在模拟中比较它们的表现。大的 bin 会导致 McC 大大过度拒绝原假设，并且接近潜在不连续性的质量点对 McC 的影响大于 CJM。