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Consistent specification test for partially linear models with the k-nearest-neighbor method
- Wang, Wenju, Wang, Qiao
- Economics letters 2019 v.177 pp. 89-93
- economics, linear models, normal distribution
- This study proposes a consistent test for the partially linear model based on the k-nearest-neighbor estimation method. The test statistic has an asymptotic normal distribution under the null hypothesis and diverges to positive infinity when the null hypothesis is false. Simulations show that the estimated power of the proposed test is better than that of the kernel method when the data have heavy tails.