Now showing items 1-5 of 5
Forecasting and Non-Stationarity of Surgical Demand Time Series
Surgical scheduling is complicated by naturally occurring, and human-induced variability in the demand for surgical services. We used time series methods to detect, model and forecast these behaviors in surgical demand ...
Nonparametric and Parametric Methods for Solar Oscillation Spectra
The study of the systematic oscillations of the Sun has led to better understanding of the Sun’s inner structure and dynamics, and may help to resolve inconsistencies between observations and the standard solar model. ...
Arithmetic problems around the ABC conjecture and connections with logic
The main theme in this thesis is the ABC conjecture. We prove some partial results towards it and we find new applications of this conjecture, mainly in the context of B\"uchi's n squares problem (which has consequences ...
Applications of Multitaper Spectral Analysis to Nonstationary Data
This thesis is concerned with changes in the spectrum over time observed in Holocene climate data as recorded in the Burgundy grape harvest date series. These changes represent nonstationarities, and while spectral estimation ...
On Malliavin Calculus and Concentration Inequalities
We prove new abstract results concerning concentration inequalities and density estimates for Malliavin differentiable random variables. The efficacy of these results are demonstrated by practical computations, such as the ...