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Analysis Of Sequential Barycenter Random Probability Measures via Discrete Constructions

Description: Hill and Monticino (1998) introduced a constructive method for generating random probability measures with a prescribed mean or distribution on the mean. The method involves sequentially generating an array of barycenters that uniquely defines a probability measure. This work analyzes statistical properties of the measures generated by sequential barycenter array constructions. Specifically, this work addresses how changing the base measures of the construction affects the statististics of m… more
Date: December 2002
Creator: Valdes, LeRoy I.
Item Type: Refine your search to only Thesis or Dissertation
Partner: UNT Libraries
open access

Determining Properties of Synaptic Structure in a Neural Network through Spike Train Analysis

Description: A "complex" system typically has a relatively large number of dynamically interacting components and tends to exhibit emergent behavior that cannot be explained by analyzing each component separately. A biological neural network is one example of such a system. A multi-agent model of such a network is developed to study the relationships between a network's structure and its spike train output. Using this model, inferences are made about the synaptic structure of networks through cluster analys… more
Date: May 2007
Creator: Brooks, Evan
Item Type: Refine your search to only Thesis or Dissertation
Partner: UNT Libraries
open access

The Development of Algebraic Reasoning in Undergraduate Elementary Preservice Teachers

Description: Although studies of teacher preparation programs have documented positive changes in mathematical knowledge for teaching with preservice teachers in mathematics content courses, this study focused on the impact of a mathematics methods course and follow-up student teaching assignment. The presumption was that preservice teachers would show growth in their mathematical knowledge during methods since the course was structured around active participation in mathematics, research-based pedagogy, a… more
Date: December 2012
Creator: Hayata, Carole Anne
Item Type: Refine your search to only Thesis or Dissertation
Partner: UNT Libraries
open access

Dimensions in Random Constructions.

Description: We consider random fractals generated by random recursive constructions, prove zero-one laws concerning their dimensions and find their packing and Minkowski dimensions. Also we investigate the packing measure in corresponding dimension. For a class of random distribution functions we prove that their packing and Hausdorff dimensions coincide.
Date: May 2002
Creator: Berlinkov, Artemi
Item Type: Refine your search to only Thesis or Dissertation
Partner: UNT Libraries
open access

A General Approach to Buhlmann Credibility Theory

Description: Credibility theory is widely used in insurance. It is included in the examination of the Society of Actuaries and in the construction and evaluation of actuarial models. In particular, the Buhlmann credibility model has played a fundamental role in both actuarial theory and practice. It provides a mathematical rigorous procedure for deciding how much credibility should be given to the actual experience rating of an individual risk relative to the manual rating common to a particular class of ri… more
Date: August 2017
Creator: Yan, Yujie yy
Item Type: Refine your search to only Thesis or Dissertation
Partner: UNT Libraries
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Gibbs/Equilibrium Measures for Functions of Multidimensional Shifts with Countable Alphabets

Description: Consider a multidimensional shift space with a countably infinite alphabet, which serves in mathematical physics as a classical lattice gas or lattice spin system. A new definition of a Gibbs measure is introduced for suitable real-valued functions of the configuration space, which play the physical role of specific internal energy. The variational principle is proved for a large class of functions, and then a more restrictive modulus of continuity condition is provided that guarantees a functi… more
Date: May 2011
Creator: Muir, Stephen R.
Item Type: Refine your search to only Thesis or Dissertation
Partner: UNT Libraries

A Global Spatial Model for Loop Pattern Fingerprints and Its Spectral Analysis

Description: The use of fingerprints for personal identification has been around for thousands of years (first established in ancient China and India). Fingerprint identification is based on two basic premises that the fingerprint is unique to an individual and the basic characteristics such as ridge pattern do not change over time. Despite extensive research, there are still mathematical challenges in characterization of fingerprints, matching and compression. We develop a new mathematical model in the spa… more
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Date: August 2019
Creator: Wu, Di
Item Type: Refine your search to only Thesis or Dissertation
Partner: UNT Libraries
open access

Mathematical Modeling of Charged Liquid Droplets: Numerical Simulation and Stability Analysis

Description: The goal of this thesis is to study of the evolution of 3D electrically charged liquid droplets of fluid evolving under the influence of surface tension and electrostatic forces. In the first part of the thesis, an appropriate mathematical model of the problem is introduced and the linear stability analysis is developed by perturbing a sphere with spherical harmonics. In the second part, the numerical solution of the problem is described with the use of the boundary elements method (BEM) on a… more
Date: May 2006
Creator: Vantzos, Orestis
Item Type: Refine your search to only Thesis or Dissertation
Partner: UNT Libraries
open access

Optimal Look-Ahead Stopping Rules for Simple Random Walk

Description: In a stopping rule problem, a real-time player decides to stop or continue at stage n based on the observations up to that stage, but in a k-step look-ahead stopping rule problem, we suppose the player knows k steps ahead. The aim of this Ph.D. dissertation is to study this type of prophet problems for simple random walk, determine the optimal stopping rule and calculate the expected return for them. The optimal one-step look-ahead stopping rule for a finite simple random walk is determined in … more
Date: August 2021
Creator: Sharif Kazemi, Zohreh
Item Type: Refine your search to only Thesis or Dissertation
Partner: UNT Libraries
open access

Optimal Strategies for Stopping Near the Top of a Sequence

Description: In Chapter 1 the classical secretary problem is introduced. Chapters 2 and 3 are variations of this problem. Chapter 2, discusses the problem of maximizing the probability of stopping with one of the two highest values in a Bernoulli random walk with arbitrary parameter p and finite time horizon n. The optimal strategy (continue or stop) depends on a sequence of threshold values (critical probabilities) which has an oscillating pattern. Several properties of this sequence have been proved by Dr… more
Date: December 2015
Creator: Islas Anguiano, Jose Angel
Item Type: Refine your search to only Thesis or Dissertation
Partner: UNT Libraries
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Prophet Inequalities for Multivariate Random Variables with Cost for Observations

Description: In prophet problems, two players with different levels of information make decisions to optimize their return from an underlying optimal stopping problem. The player with more information is called the "prophet" while the player with less information is known as the "gambler." In this thesis, as in the majority of the literature on such problems, we assume that the prophet is omniscient, and the gambler does not know future outcomes when making his decisions. Certainly, the prophet will get a b… more
Date: August 2019
Creator: Brophy, Edmond M.
Item Type: Refine your search to only Thesis or Dissertation
Partner: UNT Libraries
open access

A Random Walk Version of Robbins' Problem

Description: Robbins' problem is an optimal stopping problem where one seeks to minimize the expected rank of their observations among all observations. We examine random walk analogs to Robbins' problem in both discrete and continuous time. In discrete time, we consider full information and relative ranks versions of this problem. For three step walks, we give the optimal stopping rule and the expected rank for both versions. We also give asymptotic upper bounds for the expected rank in discrete time. Fina… more
Date: December 2018
Creator: Allen, Andrew
Item Type: Refine your search to only Thesis or Dissertation
Partner: UNT Libraries
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Transfer From a UTeach Replication Site to the Classroom: A Study of First and Second Year Instructional Practices

Description: Concerns based adoption model (CBAM) instruments were used to examine instructional practices of six graduates from a highly stylized, inquiry-based secondary math and science preparation program. Teachers were in the first or second years of teaching mathematics in six different secondary settings, ranging from poverty to wealthy schools. CBAM assumptions were tested. The primary assumption about concerns was that new teachers’ highest concerns would be within the self and task dimensions. Acc… more
Date: May 2015
Creator: Fields, Melanie
Item Type: Refine your search to only Thesis or Dissertation
Partner: UNT Libraries
open access

The Validation of a Short-cycle Formative Assessment Observation Protocol for Science and Mathematics Instruction

Description: Over the years, teachers, administrators, and policy makers have been concerned with optimizing learning for all students. The No Child Left Behind Act put an emphasis on summative assessments, which measure what students have learned. In contrast, formative assessment has been shown in many studies to improve student achievement and motivation because it is applied while students are learning. The purpose of this study was to investigate, for middle and high school mathematics and science ins… more
Date: December 2013
Creator: Heitz, Layne
Item Type: Refine your search to only Thesis or Dissertation
Partner: UNT Libraries
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