Large-scale complex data have drawn great attention in recent years, which play an important role in information technology and biomedical research. In this thesis, we address three challenging issues: sufficient dimension ...

We propose new sequential importance sampling methods for sampling contingency tables with fixed margins, loopless, undirected multigraphs, and high-dimensional tables. In each case, the proposals for the method are ...

Monte Carlo methods are widely used in statistical computing area to solve different problems. Social network analysis plays an importance role in many fields. In this dissertation, we focus on improving the efficiency of ...