We consider testing for two-sample means of high dimensional populations by thresh-olding. Two tests are investigated, which are designed for better power performance when the two population mean vectors differ only in sparsely populated coordinates. The first test is constructed by carrying out thresholding to remove the non-signal bearing dimensions. The second test combines data transformation via the preci-sion matrix with the thresholding. The benefits of the thresholding and the data transformations are showed by a reduced variance of the test thresholding statistics, the improved power and a wider detection region of the tests. Simulation experi-ments and an empirical study are performed to confirm the theoretical findings and to dem...
As we are entering the big data era with technological advances of data collection, high-dimensional...
<div><p>We develop a test statistic for testing the equality of two population mean vectors in the “...
Doctor of PhilosophyDepartment of StatisticsHaiyan WangComparing the means of two populations is a c...
We study two tests for the equality of two population mean vectors under high dimensionality and col...
In the first part of this thesis, we address the question of how new testing methods can be develope...
We consider the hypothesis testing problem of detecting a shift between the means of two multivariat...
A common problem in multivariate statistical analysis involves testing for differences in the mean v...
We consider the hypothesis testing problem of detecting a shift between the means of two mu...
We propose a novel technique to boost the power of testing a high-dimensional vector H: θ = 0 agains...
Nonparametric two sample testing deals with the question of consistently deciding if two distributio...
Multivariate statistical analyses, such as linear discriminant analysis, MANOVA, and profile analysi...
We review a family of model selection techniques called thresholding that assume the vector of param...
Abstract—Often recognition systems must be designed with a relatively small amount of training data....
In this thesis, we consider a class of regularization techniques, called thresholding, which assumes...
Modern measurement technology has enabled the capture of high-dimensional data by researchers and st...
As we are entering the big data era with technological advances of data collection, high-dimensional...
<div><p>We develop a test statistic for testing the equality of two population mean vectors in the “...
Doctor of PhilosophyDepartment of StatisticsHaiyan WangComparing the means of two populations is a c...
We study two tests for the equality of two population mean vectors under high dimensionality and col...
In the first part of this thesis, we address the question of how new testing methods can be develope...
We consider the hypothesis testing problem of detecting a shift between the means of two multivariat...
A common problem in multivariate statistical analysis involves testing for differences in the mean v...
We consider the hypothesis testing problem of detecting a shift between the means of two mu...
We propose a novel technique to boost the power of testing a high-dimensional vector H: θ = 0 agains...
Nonparametric two sample testing deals with the question of consistently deciding if two distributio...
Multivariate statistical analyses, such as linear discriminant analysis, MANOVA, and profile analysi...
We review a family of model selection techniques called thresholding that assume the vector of param...
Abstract—Often recognition systems must be designed with a relatively small amount of training data....
In this thesis, we consider a class of regularization techniques, called thresholding, which assumes...
Modern measurement technology has enabled the capture of high-dimensional data by researchers and st...
As we are entering the big data era with technological advances of data collection, high-dimensional...
<div><p>We develop a test statistic for testing the equality of two population mean vectors in the “...
Doctor of PhilosophyDepartment of StatisticsHaiyan WangComparing the means of two populations is a c...