Kernel regression

In statistics, kernel regression is a non-parametric technique to estimate the conditional expectation of a random variable. The objective is to find a non-linear relation between a pair of random variables X and Y.

In any nonparametric regression, the conditional expectation of a variable ${\displaystyle Y}$ relative to a variable ${\displaystyle X}$ may be written:

${\displaystyle \operatorname {E} (Y\mid X)=m(X)}$

where ${\displaystyle m}$ is an unknown function.