Recent content by Testguy

Thank you once again for your help, this all seem correct to me. Making sure that \epsilon_2 could probably be problematic I guess? The extension to y \in \mathbb{R}^k is probably a bit more messy as well. Thank you very much for the solution anyway. I have in the meanwhile been looking on...

Thank you for your response, pasmith. h_y is indeed a bijection. (Further it generally maps \Re to a bounded interval, say [0,1], if that is of any help.) I like your technique for showing this in your particular case. If I am not mistaken one may use the same technique to show the same when...

Hi I have a question regarding differentiation of inverse functions that I am not capable of solving. I want to prove that \frac{\partial}{\partial y} h_y(h^{-1}_{y_0}(z_0))\bigg|_{y=y_0} = - \frac{\partial}{\partial y} h_{y_0}(h^{-1}_{y}(z_0))\bigg|_{y=y_0}, where h_y(x) is...

I have a question regarding functional differentiablility. I understand that Frechet differntiability of a functional T with respect to a norm \rho_1 implies Hadamard differentiability of the functional T with respect to the same norm. However, it is no surprise that there would be cases...

Hi By some googling it seems like there exist some kind of expansion of the Taylor series for statistical functionals. I can however, not sort out how it is working and what the derivative-equivalent of the functional actually is. My situation is that I have a functional, say \theta which...