Criterion choice is such a hard problem in information recovery and in estimation and inference. In the case of inverse problems with noise, can probabilistic laws provide a basis for empirical estimator choice? That is the problem we investigate in this paper. Large Deviations Theory is used to...

Online appendix to Barcelona GSE Working Paper No. 684

Given an undirected network G(V, E, c) and a perfect matching M <Superscript>0</Superscript>, the inverse maximum perfect matching problem is to modify the cost vector as little as possible such that the given perfect matching M <Superscript>0</Superscript> can form a maximum perfect matching. The modification can be measured by different norms. In...</superscript></superscript>

We consider the estimation of the slope function in functional linear regression, where a scalar response Y is modelled in dependence of a random function X, when Y and only a panel Z <Subscript>1</Subscript>,…,Z <Subscript> L </Subscript> of noisy measurements of X are observable. Assuming an i.i.d. sample of (Y,Z <Subscript>1</Subscript>,…,Z <Subscript> L </Subscript>) of size n...</subscript></subscript></subscript></subscript>

Environmental concerns and legislation of the water industry have recently drawn the attention of many researchers to the management, calibration and power cost reduction of water pipeline systems. Effective water system management rests upon the knowledge of the current state of a water...

While optimal rates of convergence in L <Subscript>2</Subscript> for spectral regularization estimators in statistical inverse problems have been much studied, the pointwise asymptotics for these estimators have received very little consideration. Here, we briefly discuss asymptotic expressions for bias and variance...</subscript>