Consistency of the $k$-Nearest Neighbor Regressor under Complex Survey Designs

ArXi:2603.17551v1 Announce Type: cross We study the consistency of the $k$-nearest neighbor regressor under complex survey designs. While consistency results for this algorithm are well established for independent and identically distributed data, corresponding results for complex survey data are lacking. We show that the $k$-nearest neighbor regressor is consistent under regularity conditions on the sampling design and the distribution of the data.