Asymptotics of Gaussian processes and Markov chains /

In this thesis, we present several results on the asymptotic behavior of Gaussian processes and Markov chains. In the first part, focused on Gaussian processes, we prove a central limit theorem for the sum of i.i.d. high-dimensional random vectors. Surprisingly, not much is known about the optimal d...

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Bibliographic Details
Main Author: Zhai, Alex (Author)
Corporate Author: Stanford University Department of Mathematics
Other Authors: Chatterjee, Sourav (Thesis advisor, degree committee member), Dembo, Amir (Thesis advisor), Peres, Y (Yuval) (Thesis advisor)
Format: Thesis Book
Language:English
Published: [Stanford, California] : [Stanford University], 2018

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Stanford University

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Call Number: 3781 2018 Z
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