In this thesis we discuss the theory of the Quasi-Standard Error(QSE) estimate which plays an important role in the practice of the Quasi... Show moreIn this thesis we discuss the theory of the Quasi-Standard Error(QSE) estimate which plays an important role in the practice of the Quasi-Monte Carlo method. In the first part the deduction using Walsh series reveals an expression for the Quasi- Standard Error for digital nets. The second part of this thesis a special class of functions has been designed to fool the Quasi-Standard Error, and based on the previous theory we reveal the reason why the Quasi-Standard-Error can be fooled. The third part, apply the theory we developed to some actual application in financial mathematics, to see if the QSE works well in practice. There are mixed results. M.S. in Applied Mathematics, May 2013 Show less
