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Nonparametric Methods for Classification and Related Feature Selection Procedures
(2011-07-18)
One important application of gene expression microarray data is
classification of samples into categories, such as types of tumor.
Gene selection procedures become crucial since gene expression
data from DNA microarrays ...
Efficient Rank Regression with Wavelet Estimated Scores
(2011-07-07)
Wavelets have been widely used lately in many areas such as physics, astronomy, biological
sciences and recently to statistics. The main goal of this dissertation is to provide
a new contribution to an important problem ...
Text and Predictive Analytics; Classification of On-line Customer Opinion Surveys
(2011-11-17)
Thanks to computers and other data storage technologies, today we can easily save and rapid access to enormous amounts of data. According to results a report published by Andrew Harbison & Pearse Ryan, the information ...
The Intersection Problem for Steiner Triple Systems
(2011-11-16)
In this thesis we give a new solution to the intersection problem for Steiner triple systems, using results that were not available when the original solution was given. In particular we show for each pair (n,k), where n ...
Finitely Generated Modules Over Noncommutative Chain Rings
(2011-10-26)
The notion of a right chain ring, a ring whose lattice of right ideals is linearly ordered by inclusion, is a generalization of a valuation ring. In this work we investigate properties of right chain rings and the structure ...
Rank Based Methods for Repeated Measurement Data
(2011-05-16)
This dissertation considers rank based methods for one sample and two sample repeated measurement data. As a specific example, in Chapter 2, this dissertation considers nonparametric tests for selective predation. ...
Phenomenal Three-Dimensional Objects
(2011-03-29)
Original thesis project: By studying the literature, collect and write a survey paper on special three-dimensional polyhedra and bodies. Read and understand the results, to which these polyhedra and bodies are related.
Although ...
The Metamorphosis of 2-fold Triple Systems into Maximum Packings of 2Kn with 4-cycles
(2011-04-27)
The graph is called a hinge. A hinge system of order n is a pair (X, H) where H is a collection of edge disjoint hinges which partition the edge set of 2Kn with vertex set X. Let (X, H) be a hinge system and D the collection ...
Spatial Spread and Front Propagation Dynamics of Nonlocal Monostable Equations in Periodic Habitats
(2011-07-25)
This dissertation is concerned with spatial spread and front propagation dynamics of
monostable equations with nonlocal dispersal in spatially periodic habitats. Such equations
arise in modeling the population dynamics ...
Some Systems of Ordinary Differential Equations from Cancer Modeling: Qualitative Analysis and Optimal Treatment
(2011-07-25)
In this thesis, we study four systems of ordinary differential equations, which model the interrelationships between different cell populations while tumor cells exist, and treatments, such as immunotherapy, chemotherapy, ...