# Biase of ASE estimation Kernel Regression

I'm trying to calculate the bias of the estimator $$p(h)=n^{-1}\displaystyle\sum_{i=1}^{n}(Y_{j}-\hat{m}_{h}(X_{j})^{2}w(X_{j})$$ of the averaged squared error. The result I find in the literature is this:

but I am not able to calculate the expectation of the term $$C_{1n}(h)$$. Any idea of how to proceed or where to find it?

• You may want to try substituting $Y_i = m(X_i) + \epsilon_i$ into (5.1.1). – Michael Oct 8 '20 at 18:22
• it worked, thanks! – heyou Oct 9 '20 at 16:51