Departmental Papers (Math)Copyright (c) 2013 University of Texas at El Paso All rights reserved.
http://digitalcommons.utep.edu/math_papers
Recent documents in Departmental Papers (Math)en-usWed, 26 Jun 2013 13:00:03 PDT3600Adaptive Taylor series (vibrations of beam)
http://digitalcommons.utep.edu/math_papers/175
http://digitalcommons.utep.edu/math_papers/175Wed, 19 Jun 2013 06:58:48 PDT
Program for calculations of the interval solution of the dynamic beam equation (4th order PDE).
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Andrzej PownukA Locally Conservative Eulerian-Lagrangian finite difference method for the forced Korteweg-de Vries equation
http://digitalcommons.utep.edu/math_papers/174
http://digitalcommons.utep.edu/math_papers/174Thu, 13 Jun 2013 07:22:31 PDTSon-Young YiAn Immersed Interface Method for a 1d Poroelasticity Problem with Discontinuous Coefficients
http://digitalcommons.utep.edu/math_papers/173
http://digitalcommons.utep.edu/math_papers/173Thu, 13 Jun 2013 07:22:31 PDTMaranda Bean et al.A coupled mixed finite element methods for poroelasticity
http://digitalcommons.utep.edu/math_papers/171
http://digitalcommons.utep.edu/math_papers/171Thu, 13 Jun 2013 07:22:30 PDTSon-Young YiAn Experimental Study of Several Multidimensional, Locally Conservative, Eulerian-Lagrangian Finite Element Methods for a Semilinear Parabolic Equation
http://digitalcommons.utep.edu/math_papers/172
http://digitalcommons.utep.edu/math_papers/172Thu, 13 Jun 2013 07:22:30 PDTSon-Young YiA coupling of nonconforming and mixed finite element methods for Biot’s consolidation model
http://digitalcommons.utep.edu/math_papers/170
http://digitalcommons.utep.edu/math_papers/170Thu, 13 Jun 2013 07:22:29 PDTSon-Young YiOn the Additivity of the Minkowski Functionals
http://digitalcommons.utep.edu/math_papers/169
http://digitalcommons.utep.edu/math_papers/169Thu, 13 Jun 2013 07:22:28 PDTPiotr J. Wojciechowski et al.Simultaneous Estimation of Parameter Sets in Generalized Linear Models
http://digitalcommons.utep.edu/math_papers/167
http://digitalcommons.utep.edu/math_papers/167Thu, 13 Jun 2013 07:22:27 PDT
Epidemiological and medical research routinely employ generalized linear models (GLM) to quantify the relationships between the incidence of disease, such as cervical cancer, and particular risk factors, such as infection with a particular type of the HPV virus. After model estimation, interest usually focuses on estimation of odds ratios or relative risks, both functions of the model parameters. Often simultaneous estimation of these quantities, or particular subsets of these quantities, are warranted. For example, if the incidence of cervical cancer is of interest, then researchers may wish to order the odds ratios for cervical cancer with regard to infection of particular types of the HPV virus, a process requiring simultaneous estimation. Current simultaneous estimation methods only perform well when there are a very small number of comparisons and/or the sample size is relatively large. Additionally, the estimated quantities can have significant bias even when the sample size is large. We propose simultaneous bounds that: (1) perform well for a small or large number of comparisons, (2) exhibit improved performance for small to moderate sample sizes, (3) provide bias adjustment not reliant on asymptotics, and (4) avoids the infinite parameter estimates that can occur with maximum likelihood estimators. These bounds adapt tube-formula based simultaneous confidence regions (SCRs) for use with the pMLE. Simulations demonstrate that the proposed bounds achieve the desired level of confidence at smaller sample sizes than previous methods.
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Melinda McCann et al.A note on directly ordered subspaces of R^n
http://digitalcommons.utep.edu/math_papers/168
http://digitalcommons.utep.edu/math_papers/168Thu, 13 Jun 2013 07:22:27 PDTPiotr J. Wojciechowski et al.Randomizing Roaches: Exploring the "bugs" of randomization in experimental design
http://digitalcommons.utep.edu/math_papers/166
http://digitalcommons.utep.edu/math_papers/166Thu, 13 Jun 2013 07:22:26 PDTAmy E. Wagler et al.Confidence Interval Estimators for Assessing Heterogeneity in Generalized Linear Mixed Models
http://digitalcommons.utep.edu/math_papers/165
http://digitalcommons.utep.edu/math_papers/165Thu, 13 Jun 2013 07:22:25 PDTAmy E. WaglerComputer Enhanced Mathematics Education: Using Maple and Derive in the Classroom
http://digitalcommons.utep.edu/math_papers/164
http://digitalcommons.utep.edu/math_papers/164Thu, 13 Jun 2013 07:22:25 PDT
Lewis, A. "Computer Enhanced Mathematics Education: Using Maple and Derive in the Classroom," Journal of Computing in Small Colleges, 10(5), 180-184.
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A Lewis et al.Bias Reduced Logistic Dose-Response Models
http://digitalcommons.utep.edu/math_papers/163
http://digitalcommons.utep.edu/math_papers/163Thu, 13 Jun 2013 07:22:24 PDT
In generalized linear models, such as the logistic regression model, maximum likelihood estimators are well-known to be biased at smaller sample sizes. When the number of dose levels or replications per dose is small, bias in the maximum likelihood estimates can lead to very misleading results and the model often fails to converge. In order to correct the bias present in the maximum likelihood estimates and the problem of non-convergence, the penalized maximum likelihood estimator is considered. Simulations compare the fit and empirical confidence levels of inferences made from the maximum likelihood and penalized maximum likelihood based models
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Amy E. WaglerAssessing the Use of the Measure of Acceptance of the Theory of Evolution
http://digitalcommons.utep.edu/math_papers/162
http://digitalcommons.utep.edu/math_papers/162Thu, 13 Jun 2013 07:22:23 PDT
The Measure of Acceptance of the Theory of Evolution (MATE) was constructed to be a single factor instrument that assesses an individual’s overall acceptance of evolutionary theory. The MATE was validated and the scores resulting from the MATE were found to be reliable for the population of inservice high school biology teachers. However, many studies have utilized the MATE for different populations, such as university students enrolled in a biology or genetics course, high school students, and preservice teachers. This is problematic because the dimensionality of the MATE may not be consistent across populations. In order to address this issue, this manuscript explores the dimensionality of the MATE for the population of preservice elementary teachers. With this objective in mind, rating scale and partial credit Rasch models are fit to the observed data to provide evidence for or against a one-dimensional latent structure. It was found that both of the models exhibit a lack of fit, although the fit of the partial credit model was superior to the fit of the graded response model. Further analysis revealed potential sources of model misfit. The results of this study call into question any findings and conclusions made using the MATE for any population other than inservice high school biology teachers.
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Amy E. Wagler et al.Face Recognition from Incomplete Measurements via ℓ1-minimization
http://digitalcommons.utep.edu/math_papers/161
http://digitalcommons.utep.edu/math_papers/161Thu, 13 Jun 2013 07:22:23 PDTMiguel Argaez et al.Data Mining in the Process of Localization and Classification of Subcorticals Structures
http://digitalcommons.utep.edu/math_papers/160
http://digitalcommons.utep.edu/math_papers/160Thu, 13 Jun 2013 07:22:22 PDTPablo Guillen et al.Joint Inversion of Optimized Constrained Geophysical Data Sets
http://digitalcommons.utep.edu/math_papers/159
http://digitalcommons.utep.edu/math_papers/159Thu, 13 Jun 2013 07:22:21 PDTAnibal Sosa et al.Constrained Optimization Schemes for 1D inverse propagation problems
http://digitalcommons.utep.edu/math_papers/158
http://digitalcommons.utep.edu/math_papers/158Thu, 13 Jun 2013 07:22:20 PDTCarsten Burstedde et al.Corrigendum to "Toroidal and Klein bottle boundary slopes"
http://digitalcommons.utep.edu/math_papers/157
http://digitalcommons.utep.edu/math_papers/157Thu, 13 Jun 2013 07:22:20 PDT
Let M be a compact, connected, orientable, irreducible 3-manifold and T an incompressible torus boundary component of M such that the pair (M,T) is not cabled. In the paper "Toroidal and Klein bottle boundary slopes" [arXiv:math/0601034] by the author it was established that for any K-incompressible tori F,F' in (M,T) which intersect in graphs G in F and G' in F', the maximal number of mutually parallel, consecutive, negative edges that may appear in G is n'+1, where n' is the number of boundary components of F'. In this paper we show that the correct such bound is n'+2, give a partial classification of the pairs (M,T) where the bound n'+2 is reached, and show that if the distance d between the boundary slopes of F and F' is at least 6 then the bound n'+2 cannot be reached; this latter fact allows for the short proof of the classification of the pairs (M,T) with M a hyperbolic 3-manifold and d at least 6 to work without change as outlined in the paper cited above.
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Luis Valdez-SanchezTOROIDAL BOUNDARY SLOPES AT DISTANCE 3: THE POSITIVE CASE
http://digitalcommons.utep.edu/math_papers/156
http://digitalcommons.utep.edu/math_papers/156Thu, 13 Jun 2013 07:22:19 PDT
In this paper we classify all pairs (M, T0) for which T0 admits two toroidal slopes at distance 3, at least one of which is polarized.
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Luis Valdez-Sanchez