In the work a characterization of difference of multivariate Gaussian measures is found on the family of centered Eucledian balls. In particular, it helps to derive (xx see paper).

IV regression in the context of a re-sampling is considered in the work. Comparatively, the contribution in the development is a structural identication in the IV model. The work also contains a multiplier-bootstrap justication.

In linear regression of Y on X(2 Rp) with parameters (2 Rp+1); statistical inference is unreliable when observations are obtained from gross-error model, F;G = (1??)F +G; instead of the assumed probability F;G is gross-error probability, 0 < < 1: When G is unit mass at (x; y); Residual's Inuence...

In deconvolution in Rd; d 1; with mixing density p(2 P) and kernel h; the mixture density fp(2 Fp) can always be estimated with f^pn; ^pn 2 P; via Minimum Distance Estimation approaches proposed herein, with calculation of f^pn's upper L1-error rate, an; in probability or in risk; h is either...