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Physical Sciences and Mathematics Commons™
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Articles 91 - 99 of 99
Full-Text Articles in Physical Sciences and Mathematics
Attractors From One Dimensional Lorenz-Like Maps, Youngna Choi
Attractors From One Dimensional Lorenz-Like Maps, Youngna Choi
Department of Applied Mathematics and Statistics Faculty Scholarship and Creative Works
In this paper we study the properties of expanding maps with a single discontinuity on a closed interval and the resultant dynamics. For such a map, there exists a compact invariant subset which shares a lot of common properties with classical attractors such as the topological transitivity of the restricted map and the density of the periodic points. The invariant set, with more conditions on the boundary, can be shown to have an isolating neighborhood, hence is a chaotic attractor in the strong sense. Not all such maps derive trapping regions, yet by perturbation, those non-attractors can be made to …
Controlling Wound Healing Through Debridement, M. A. Jones, Baojun Song, D. M. Thomas
Controlling Wound Healing Through Debridement, M. A. Jones, Baojun Song, D. M. Thomas
Department of Applied Mathematics and Statistics Faculty Scholarship and Creative Works
The formation of slough (dead tissue) on a wound is widely accepted as an inhibitor to natural wound healing. In this article, a system of differential equations that models slough/wound interaction is developed. We prove a threshold theorem that provides conditions on the amount of slough to guarantee wound healing. As a state-dependent time scale, debridement (the periodic removal of slough) is used as a control. We show that closure of the wound can be reached in infinite time by debriding.
Deviance Information Criterion For Comparing Stochastic Volatility Models, Andreas Berg, Renate Meyer, Jun Yu
Deviance Information Criterion For Comparing Stochastic Volatility Models, Andreas Berg, Renate Meyer, Jun Yu
Research Collection School Of Economics
Bayesian methods have been efficient in estimating parameters of stochastic volatility models for analyzing financial time series. Recent advances made it possible to fit stochastic volatility models of increasing complexity, including covariates, leverage effects, jump components, and heavy-tailed distributions. However, a formal model comparison via Bayes factors remains difficult. The main objective of this article is to demonstrate that model selection is more easily performed using the deviance information criterion (DIC). It combines a Bayesian measure of fit with a measure of model complexity. We illustrate the performance of DIC in discriminating between various different stochastic volatility models using simulated …
Arbitration And Litigation Of Employment Claims: An Empirical Comparison, Theodore Eisenberg, Elizabeth Hill
Arbitration And Litigation Of Employment Claims: An Empirical Comparison, Theodore Eisenberg, Elizabeth Hill
Cornell Law Faculty Publications
The authors conducted empirical research comparing court case and arbitrated outcomes for employment disputes. In cases not involving civil rights claims, they found little evidence that arbitrated outcomes materially differed from trial outcomes where the claimant was a higher-paid employee. Moreover, they found no statistically significant differences between employee win rates or in the median or mean awards in arbitration and litigation. They also reported evidence indicating that arbitrated disputes conclude more quickly than litigated disputes.
Ua56/1 Fact Book, Wku Institutional Research
Ua56/1 Fact Book, Wku Institutional Research
WKU Archives Records
Statistical and demographic profile of WKU.
A Nonlinear Random Coefficients Model For Degradation Testing, Suk Joo Bae, Paul H. Kvam
A Nonlinear Random Coefficients Model For Degradation Testing, Suk Joo Bae, Paul H. Kvam
Department of Math & Statistics Faculty Publications
As an alternative to traditional life testing, degradation tests can be effective in assessing product reliability when measurements of degradation leading to failure can be observed. This article presents a degradation model for highly reliable light displays, such as plasma display panels and vacuum fluorescent displays (VFDs). Standard degradation models fail to capture the burn-in characteristics of VFDs, when emitted light actually increases up to a certain point in time before it decreases (or degrades) continuously. Random coefficients are used to model this phenomenon in a nonlinear way, which allows for a nonmonotonic degradation path. In many situations, the relative …
Model Development Techniques And Evaluation Methods For Prediction And Classification Of Consumer Risk In The Credit Industry, Jennifer Priestley, Satish Nargundkar
Model Development Techniques And Evaluation Methods For Prediction And Classification Of Consumer Risk In The Credit Industry, Jennifer Priestley, Satish Nargundkar
Jennifer L. Priestley
In this chapter, we examine and compare the most prevalent modeling techniques in the credit industry, Linear Discriminant Analysis, Logistic Analysis and the emerging technique of Neural Network modeling. K-S Tests and Classification Rates are typically used in the industry to measure the success in predictive classification. We examine those two methods and a third, ROC Curves, to determine if the method of evaluation has an influence on the perceived performance of the modeling technique. We found that each modeling technique has its own strengths, and a determination of the “best” depends upon the evaluation method utilized and the costs …
Consumption Function, Douglas G. Steigerwald
Consumption Function, Douglas G. Steigerwald
Douglas G. Steigerwald
No abstract provided.
Ensuring The Comparability Of Comparison Groups: Is Randomization Enough?, Vance Berger, Sherri Rose
Ensuring The Comparability Of Comparison Groups: Is Randomization Enough?, Vance Berger, Sherri Rose
Sherri Rose
It is widely believed that baseline imbalances in randomized trials must necessarily be random. In fact, there is a type of selection bias that can cause substantial, systematic and reproducible baseline imbalances of prognostic covariates even in properly randomized trials. It is possible, given complete data, to quantify both the susceptibility of a given trial to this type of selection bias and the extent to which selection bias appears to have caused either observable or unobservable baseline imbalances. Yet, in articles reporting on randomized trials, it is uncommon to find either these assessments or the information that would enable a …