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Uniform Convergence and Rate Adaptive Estimation of a Convex Function
Adaptive estimate B-splines convex regression minimax risk
2012/5/9
This paper addresses the problem of estimating a convex regression function under both the sup-norm risk and the pointwise risk using B-splines. The presence of the convex constraint complicates vario...
Extremal Distribution for the Discrete 5-convex Stochastic Ordering and Applications
s-convex order moment space extremal distribution branching process Lundberg's coeffici
2011/11/9
In this paper, motivated by the idea from Courtois and Denuit et al.(2006), we derive extremal distribution for the discrete 5-convex stochastic ordering. As applications,We improve lower and upper bo...
Asymptotics for minimisers of convex processes
argmin lemma approximation convexity Cox regression LAD regression log-concavity logistic regression
2011/9/15
Abstract: By means of two simple convexity arguments we are able to develop a general method for proving consistency and asymptotic normality of estimators that are defined by minimisation of convex c...
In applications throughout science and engineering one is often faced with the challenge of solving an ill-posed inverse problem, where the number of available measurements is smaller than the dimensi...
Input Design for System Identification via Convex Relaxation
Input Design System Identification Convex Relaxation
2010/12/14
This paper proposes a new framework for the optimization of excitation inputs for system identification. The optimization problem considered is to maximize a reduced Fisher information matrix in any o...