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Skip to Search Results 7Frei, Christoph (Mathematical and Statistical Sciences)
 7Kong, Linglong (Mathematical and Statistical Sciences)
 7Lewis, Mark (Mathematical and Statistical Sciences)
 6Han, Bin (Mathematical and Statistical Sciences)
 6Hillen, Thomas (Mathematical and Statistical Sciences)
 6Mizera, Ivan (Mathematical and Statistical Sciences)

Fall 2013
This thesis deals with the problem proposed by Ye and Zhou (2007): Is a Qoptimal minimax design still symmetric if the requirement of $\int_\chi xm(x)dx = 0$ is removed? We have shown that for the simple linear regression, considering only the variance, a Qoptimal minimax design is necessarily...

Spring 2020
Invasive species and infectious diseases cause significant ecological and economic harm all over the world. Therefore, substantial effort is made across the globe to prevent the spread and decrease the impact of biological invasions and epidemicsby implementing early detection and rapid response...

Fall 2016
The thesis consists of two closely related parts: (i) Cesaro summability of the spherical hharmonic expansions on the unit sphere, and (ii) BochnerRiesz summability of the inverse Dunkl transforms on ddimensional real space, both being studied with respect to the weight that is invariant under...

Spring 2012
The topic of the thesis is an overview of some sequential and changepoint detection methods with applications to clinical trials. Performing sequential monitoring is important for ethical, economical and other reasons. It is important to terminate a study as soon as possible when potentially...

Fall 2020
The main goal of this work is the development of allspeed numerical methods for the compressible NavierStokes equations, i.e. methods that remain efficient in incompressible, weakly compressible, and compressible regimes. To achieve this goal we propose algorithms based on the direction...

Spring 2016
Flows on normed spaces can be classified using flow equivalences  maps on the space with the property that the structure of one flow is converted into the structure of another flow. Of particular interest are classifications that arise from flow equivalences that are either homeomorphisms or...

Spring 2018
As internal gravity wavepackets propagate upward in the atmosphere, their amplitude experiences exponential growth so that nonlinear effects influence their evolution. This thesis examines the weakly and fully nonlinear evolution, stability, and overturning of horizontally and vertically...

Fall 2011
Turbulence is a chaotic motion of fluid that can be described by the NavierStokes equations or even highly simplified shell models. Under the continuum limit, standard shell models of turbulence are shown to reduce to a common evolution equation that reproduces many predictions of the...

On Multivariate Quantile Regression: Directional Approach and Application with Growth Charts
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In this thesis, we introduce a concept of directional quantile envelopes, the intersection of the halfspaces determined by directional quantiles, and show that they allow for explicit probabilistic interpretation, compared to other multivariate quantile concepts. Directional quantile envelopes...