creator Deng, Siyuan advisor Hickernell, Fred J. 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-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. Submitted by Liana Khananashvili (khananashvili@iit.edu) on 2013-10-03T16:16:53Z No. of bitstreams: 2 SiyuanDengthesis.pdf: 330279 bytes, checksum: 5b609500d9ab31aa2ef31c8e08d2b150 (MD5) titlepage.pdf: 102375 bytes, checksum: 8a0d854f60b2ce4240f9b51e15c97755 (MD5) Made available in DSpace on 2013-10-03T16:16:53Z (GMT). No. of bitstreams: 2 SiyuanDengthesis.pdf: 330279 bytes, checksum: 5b609500d9ab31aa2ef31c8e08d2b150 (MD5) titlepage.pdf: 102375 bytes, checksum: 8a0d854f60b2ce4240f9b51e15c97755 (MD5) Previous issue date: 2013-05 M.S. in Applied Mathematics, May 2013 2013-05-01 2013-05 http://hdl.handle.net/10560/3062 en Thesis born digital application/pdf In Copyright http://rightsstatements.org/page/InC/1.0/ Restricted Access MATH / Applied Mathematics Illinois Institute of Technology Affiliated department