Browsing University of Waterloo by Supervisor "Shen, Yi"

Now showing items 1-3 of 3

Compatibility Problems of Probability Measures for Stochastic Processes

Shen, Jie (University of Waterloo, 2018-07-27)

In this thesis, we address three topics in the area of compatibility for probability measures. By "compatibility", we mean the problems concerning the existence of random variables/stochastic processes which generate certain ...
Excursion Sets and Critical Points of Gaussian Random Fields

Qi, Weinan (University of Waterloo, 2022-09-02)

Modeling the critical points of a Gaussian random field is an important challenge in stochastic geometry. In this thesis, we focus on stationary Gaussian random fields and study the locations and types of the critical ...
On multiple random locations of stationary processes

Matheson, Daniel (University of Waterloo, 2019-01-18)

We generalize the concept of intrinsic location functionals to accommodate n=2 random locations, which we combine together in either sets or vectors. For the set-valued case of "intrinsic multiple-location functionals" we ...