A Minimax Chebyshev Estimator for Bounded Error Estimation
A Minimax Chebyshev Estimator for Bounded Error Estimation
We develop a nonlinear minimax estimator for the classical linear regression model assuming that the true parameter vector lies in an intersection of ellipsoids. We seek an estimate that minimizes the worst-case estimation error over the given parameter set. Since this problem is intractable, we approximate it using semidefinite relaxation, …