Continuous states q-processes and applications in the study of coalescent with recombination
主 题: Continuous states q-processes and applications in the study of coalescent with recombination
报告人: Xian Chen (School of Mathematical Sciences, PKU )
时 间: 2014-10-14 13:45-14:45
地 点: Room 77201 at #78 courtyard, Beijing International Center for Mathematical Research（博士后讨论班）
In this talk I will present some new results on the transformation of Markov jump process and their applications in the study of coalescent with recombination. More specifically, we provide a verifiable necessary and sufficient condition for a regular q-process to be again a regular q-process under a transform of state space. Applying this result as well as some other results on continuous states q-processes, we rigorously prove that the statistical properties of the two classes of simulation models widely used in the study of coalescent with recombination are idential. That is, they share the same probability distribution on the space of ancestral recombination graphs (ARGs). As a consequence, our study provides a unified interpretation for the algorithms of simulating coalescent with recombination, and will facilitate the study of statistical inference on recombination. The results presented here are joint with Professor Zhi-Ming Ma and Dr. Ying Wang.
