Abstract: A method for the determination of the position, in particular the future position, of an object, in particular of a particle or the like, in which case the progression of the position of a reference object is determined, in which case the reference object passes through a process and in which case the differences of the positions of the object and of the reference object are formed, has been designed for the purpose of a good determination of the position of the object with simultaneously the lowest possible technical expenditure in such a manner that error position terms are formed from the differences, and that the error position terms are weighted with at least one correction factor.

Abstract: The present invention relates to a portfolio evaluation and optimization in the presence of estimation errors. The method for optimizing a portfolio with several financial instruments, comprises steps of: selecting constraints and optimality criteria for the portfolio; obtaining historical information for financial risk factors and selecting an appropriate model for simulating the risk factors of the portfolio by way of a generalized elliptical distribution. Similarly, the method for evaluating a portfolio with several financial instruments, comprises steps of: selecting evaluation criteria for the portfolio; obtaining historical information for financial risk factors and selecting an appropriate model for simulating the risk factors of the portfolio by way of a generalized elliptical distribution. The model selection is based on historical information. According to the present invention both estimation risk and market risk are considered by simulation.

Abstract: A method for the determination of the position, in particular the future position, of an object, in particular of a particle or the like, in which case the progression of the position of a reference object is determined, in which case the reference object passes through a process and in which case the differences of the positions of the object and of the reference object are formed, has been designed for the purpose of a good determination of the position of the object with simultaneously the lowest possible technical expenditure in such a manner that error position terms are formed from the differences, and that the error position terms are weighted with at least one correction factor.