The Hessian of the multivariate normal mixture model is derived, and estimators of the information matrix are obtained, thus enabling consistent estimation of all parameters and their precisions. The usefulness of the new theory is illustrated with two examples and some simulation experiments....

In this thesis, we extend Bai and Perron's (1998, Econometrica, pp. 47-78) method fordetecting multiple breaks to nonlinear models. To that end, we consider an unstable univariatenonlinear least squares (NLS) model with a limited number of parameter shifts occurring atunknown dates. In our...