Hi, I am doing some work on density estimation using kernels and am looking at bias and variance in MISE to find optimal bandwidth. I have a book which deals with this but only gives an approximation to a taylor expansion. The book gives

int K(t){f(x-ht)-f(x)} dt

I need a taylor expansion of the form f(x-ht)= .....

I think it starts as f(x) - ht f'(x) + 1/2 h^2t^2f''(x)+...

I also have further questions about this as this needs to be rearranged based on assumptions about K.

Thanks