Browsing Theses by Supervisor "Shen, Yi"
Now showing items 1-3 of 3
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Compatibility Problems of Probability Measures for Stochastic Processes
(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
(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
(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 ...