spherical statistics

I need to simulate a conditional expectation of the form: E (Xi^2 /(||X||^2 +h) | R^2 = ||X-T||^2 + ||U||^2 , Zi^2= (Xi - Ti)^2) Where X~N(T,I_p), U ~N(0,I_n) and ||.|| being the euclidean norm, i found this result using the nadaraya-watson approximation (https://arxiv.org/abs/1306.1182), but...

Hi all, I'm excited to find this discussion forum. I think it offers a great opportunity for those of us without easy access to a community of statisticians. I am a molecular biologist and hope I can offer some help along the way. In the meantime, I'm hoping for a bit of help myself. I...