In this paper, we consider a global optimization problem for a symmetric Lipschitz continuous function. An efficient modification of the well-known <Emphasis FontCategory="NonProportional">DIRECT (DIviding RECTangles) method called <Emphasis FontCategory="NonProportional">SymDIRECT is proposed for solving this problem. The method is illustrated and tested on several standard...</emphasis></emphasis>

The problem of nonlinear weighted least squares fitting of the three-parameter Weibull distribution to the given data (wi,ti,yi), i=1,...,n, is considered. The part wi0 of the data stands for the data weights. It is shown that the best least squares estimate exists provided that the data satisfy...