Many methods of computational statistics lead to matrix-algebra or numerical- mathematics problems. For example, the least squares method in linear regression reduces to solving a system of linear equations. The principal components method is based on finding eigenvalues and eigenvectors of a...

Options are financial derivatives that, conditional on the price of an underlyingasset, constitute a right to transfer the ownership of this underlying. Morespecifically, a European call and put options give their owner the right to buyand sell, respectively, at a fixed strike price at a given...

This paper offers a new method for estimation and forecasting of the linear and nonlinear time series when the stationarity assumption is violated. Our general local parametric approach particularly applies to general varying-coefficient parametric models, such as AR or GARCH, whose coefficients...