Statistical tolerance analysis based on Monte Carlo simulation can be applied to obtain a cost-optimized specification that satisfies both the cost and quality requirements associated with manufacturing. However, this process requires time-consuming computations. We found an implementation uses graphics processing unit (GPU) for vector-chain-based statistical scales better increasing sample siz...

In this paper, we use probabilistic methods of excursion theory for Lévy processes in order to value some exotic options in general exponential Lévy models. AMS 2000 Subject Classification : Primary: 60G51, 91B28, 91B70. JEL Classification: C13.