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The problem of estimating the width of the symmetric uniform distribution on the line when data are measured with normal additive error is considered. The main purpose is to discuss the efficiency of the maximum likelihood estimator and the moment method estimator. It is shown that the model is regular and that the maximum likelihood estimator is more(More)
We consider the problem of searching for a best LAD-solution of an overdetermined system of linear equations Xa = z, X ∈ R m×n , m ≥ n, a ∈ R n , z ∈ R m. This problem is equivalent to the problem of determining a best LAD-hyperplane x → a T x, x ∈ R n on the basis of given data whereby the minimizing functional is of the form F (a) = z − Xa 1 = m i=1 |z i(More)