Kernel Density Estimation with Berkson Error

James P. Long, Noureddine El Karoui, John A. Rice

Given a sample $\{X_i{\}}_{i=1}^n$ from $f_X$, we construct kernel density estimators for $f_Y$, the convolution of $f_X$ with a known error density $f_{\epsilon }$. This problem is known as d…