Mathematics (Applied)
Estimation and Inference for Dynamic Intensity Models for Recurrent Event Data with Applications to a Malaria Trial
Doctoral Candidate Name: Jing Xu Program: Mathematics (Applied) Defense Date and Time: April 5, 2024 – 3:00 PM Defense Location: Fretwell 315 Committee chair’s Name: Yanqing Sun Committee Members: Dr. Yanqing Sun, Dr.Qingning Zhou, Dr. Yinghao Pan, Dr. Ronald Sass Abstract: Recurrent events are commonly encountered in medical and epidemiological studies. It is often of […]
Dynamics of the shift action on linear sequence spaces over groups beyond Z
Doctoral Candidate Name: Sergei Miles Program: Mathematics (Applied) Defense Date and Time: March 27, 2024 – 2:00 PM Defense Location: Fretwell room 379 Committee chair’s Name: Dr. Kevin McGoff and Dr. William Brian Committee Members: Dr. Alan Dow and Dr. Wei Fan Abstract: In linear dynamics, bounded linear operators over infinite-dimensional Banach spaces have been […]
Design and Analysis for Two-Phase Studies with Survival Data
Doctoral Candidate Name: Xu Cao Program: Mathematics (Applied) Defense Date and Time: April 1, 2024 – 10:00 AM Defense Location: Fretwell 315 Committee chair’s Name: Dr. Qingning Zhou Committee Members: Dr. Yanqing Sun, Dr. Eliana Christou, Dr. Rob McGregor Abstract: Large cohort studies under simple random sampling could be prohibitive to conduct with a limited […]
Subsystems of Shifts of Finite Type over Countable Amenable Groups
Doctoral Candidate Name: Robert Bland Program: Mathematics (Applied) Defense Date and Time: March 26, 2024 – 2:15 PM Defense Location: Fretwell 315 Committee chair’s Name: Dr. Kevin McGoff Committee Members: Dr. William Brian, Dr. Oleg Safronov, Dr. Erik Saule Abstract: This dissertation is primarily concerned with the subsystem problem for subshifts of finite type (SFTs) […]
Multivariate Dickman Distribution and Its Application
Doctoral Candidate Name: Xingnan Zhang Program: Mathematics (Applied) Defense Date and Time: January 25, 2024 – 4:00 PM Defense Location: Fretwell 315 Committee chair’s Name: Dr. Michael Grabchak Committee Members: Dr. Stanislav Molchanov, Dr. Issac Sonin, Dr. Jeffrey Kimble Abstract: In this dissertation, we develop multivariate Dickman distribution and explore its properties. In addition, we […]
Coloring Graphs with Intervals for Parallel Computing
Doctoral Candidate Name: Dante Durrman Program: Mathematics (Applied) Defense Date and Time: January 30, 2024 – 11:00 AM Defense Location: Fretwell 315 Committee chair’s Name: Erik Saule Committee Members: Gabor Hetyei, Evan Houston, Min Shin Abstract: Graph coloring is commonly used to schedule computations on parallel systems. Given a good estimation of the computational requirement […]
Multivariate Dickman distribution and its applications
Doctoral Candidate Name: Xingnan Zhang Program: Mathematics (Applied) Defense Date and Time: January 25, 2024 – 4:00 PM Defense Location: Fretwell 315 Committee chair’s Name: Michael Grabchak Committee Members: Abstract:
On the infinite divisibility and non infinite divisibility of certain classes of random variables
Doctoral Candidate Name: George M Stukes Program: Mathematics (Applied) Defense Date and Time: November 7, 2023 – 11:30 AM Defense Location: Fretwell 116 Committee chair’s Name: Dr. Stanislav Molchanov Committee Members: Dr. Michael Grabchak, Dr. Isaac Sonin, Dr. Don Jacobs Abstract: In this dissertation we present new results on the classification of limit distributions of […]
SPECTRAL THEORY OF SCHRÖDINGER TYPE OPERATOR ON SPIDER GRAPH
Doctoral Candidate Name: Madhumita Paul Program: Mathematics (Applied) Defense Date and Time: April 13, 2023 – 12:45 PM Defense Location: Fretwell 302 Committee chair’s Name: Dr. Stanislav Molchanov Committee Members: Dr. Boris Vainberg, Dr. Yuri Godin, Dr. ZhengChang Su Abstract: We construct the definition of Brownian motion on the N-legged spider graph with infinite legs […]
Statistical inference of semiparametric Cox-Aalen transformation models with failure time data
Doctoral Candidate Name: Xi Ning Program: Mathematics (Applied) Defense Date and Time: April 7, 2023 – 10:00 AM Defense Location: Fretwell 315 Committee chair’s Name: Dr. Yanqing Sun Committee Members: Dr. Yinghao Pan, Dr. Qingning Zhou, Dr. Shen-En Chen Abstract: In this dissertation, we propose a broad class of so-called Cox-Aalen transformation models that incorporate […]