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Physical Sciences and Mathematics Commons

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Full-Text Articles in Physical Sciences and Mathematics

Query Of Image Content Using Wavelets And Gibbs-Markov Random Fields, Imtiaz Hossain Jan 2004

Query Of Image Content Using Wavelets And Gibbs-Markov Random Fields, Imtiaz Hossain

LSU Master's Theses

The central theme of this thesis is the application of Wavelets and Random Processes to content-based image query (on texture patterns, in particular). Given a query image, a content-based search extracts a certain representative measure (or signature) from the query image and likewise for all the target images in the search archive. A good representative measure is one that provides us with the ability to differentiate easily between different patterns. A distance measure is computed between the query properties and the properties of each of the target images. The lowest distance measure gives us the best target match for the …


Which Mean Do You Mean?: An Exposition On Means, Mabrouck K. Faradj Jan 2004

Which Mean Do You Mean?: An Exposition On Means, Mabrouck K. Faradj

LSU Master's Theses

The objective of this thesis is to give a brief exposition on the theory of means. In Greek mathematics, means are intermediate values between two extremes, while in modern mathematics, a mean is a measure of the central tendency for a set of numbers. We begin by exploring the origin of the antique means and list the classical means. Next, we present an overview of the theories of binary means and n-ary means. We include a general discussion on axiomatic systems for means and present theorems on properties that characterize the most common types of means.


Cox Regression Model, Lindsay Sarah Smith Jan 2004

Cox Regression Model, Lindsay Sarah Smith

LSU Master's Theses

Cox, in 1972, came up with the Cox Regression Model to deal handle failure time data. This work presents background information leading up to the Cox's regression model for censored survival data. The marginal and partial likelihood approaches to estimate the parameters in this model are presented in detail. The estimation techniques of the hazard and survivor functions are explained. All of these ideas are illustrated using data from the Veteran’s Administration lung cancer study.


A Meta-Analysis Of Randomness In Human Behavioral Research, Summer Ann Armstrong Jan 2004

A Meta-Analysis Of Randomness In Human Behavioral Research, Summer Ann Armstrong

LSU Master's Theses

This work analyzes the concept of randomness in binary sequences from three different perspectives: mathematically, statistically, and psychologically and examines the research on human perception of randomness and the question of whether or not humans can simulate random behavior. Generally, research shows that human subjects have great difficulty producing random sequences, even when they are instructed and motivated. We survey some of the literature and present some leading theoretical proposals. Finally, we present some basic statistical tests that can be used to evaluate randomness in a given binary sequence.