Mathematics Commons^™

Stochastic Calculus For Gaussian Processes And Application To Hitting Times, Pedro Lei, David Nualart

Communications on Stochastic Analysis

No abstract provided.

Krylov-Veretennikov Expansion For Coalescing Stochastic Flows, Andrey A Dorogovtsev

Communications on Stochastic Analysis

No abstract provided.

Qwn-Conservation Operator And Associated Wick Differential Equation, Habib Ouerdiane, Hafedh Rguigui

Communications on Stochastic Analysis

No abstract provided.

Sde Solutions In The Space Of Smooth Random Variables, Yeliz Yolcu Okur, Frank Proske, Hassilah Binti Salleh

Communications on Stochastic Analysis

No abstract provided.

Solutions Of Linear Elliptic Equations In Gauss-Sobolev Spaces, Pao-Liu Chow

Communications on Stochastic Analysis

No abstract provided.

Temporal Correlation Of Defaults In Subprime Securitization, Eric Hillebrand, Ambar N Sengupta, Junyue Xu

Communications on Stochastic Analysis

No abstract provided.

An Estimate For Bounded Solutions Of The Hermite Heat Equation, Bishnu Prasad Dhungana

Communications on Stochastic Analysis

No abstract provided.

Group-Theoretical Derivation Of Angular Momentum Eigenvalues In Spaces Of Arbitrary Dimensions, Tamar Friedmann, C. R. Hagen

Mathematics Sciences: Faculty Publications

The spectrum of the square of the angular momentum in arbitrary dimensions is derived using only group theoretical techniques. This is accomplished by application of the Lie algebra of the noncompact group O(2, 1). Illuminating discussions with Jonathan Pakianathan and his comments on a draft are gratefully acknowledged. This work was supported in part by (U.S.) Department of Energy (DOE), Grant No. DE-FG02-91ER40685.

Mathematical Problem Posing As A Measure Of Curricular Effect On Students' Learning, Jinfa Cai, John Moyer, Ning Wang, Stephen Hwang, Bikai Nie, Tammy Garber

Mathematics, Statistics and Computer Science Faculty Research and Publications

In this study, we used problem posing as a measure of the effect of middle-school curriculum on students' learning in high school. Students who had used a standards-based curriculum in middle school performed equally well or better in high school than students who had used more traditional curricula. The findings from this study not only show evidence of strengths one might expect of students who used the standards-based reform curriculum but also bolster the feasibility and validity of problem posing as a measure of curriculum effect on student learning. In addition, the findings of this study demonstrate the usefulness of …

Analyzing Multiple-Probe Microarray: Estimation And Application Of Gene Expression Indexes, Mehdi Maadooliat, Jianhua Z. Huang, Jianhua Hu

Mathematics, Statistics and Computer Science Faculty Research and Publications

Gene expression index estimation is an essential step in analyzing multiple probe microarray data. Various modeling methods have been proposed in this area. Amidst all, a popular method proposed in Li and Wong (2001) is based on a multiplicative model, which is similar to the additive model discussed in Irizarry et al. (2003a) at the logarithm scale. Along this line, Hu et al. (2006) proposed data transformation to improve expression index estimation based on an ad hoc entropy criteria and naive grid search approach. In this work, we re-examined this problem using a new profile likelihood-based transformation estimation approach that …

On Order Statistics For Gs-Distributions, M. M. Mohie El-Din, M. M. Amein, Gholamhossein Hamedani

Mathematics, Statistics and Computer Science Faculty Research and Publications

In this article, a class of distributions is used to establish several recurrence relations satisfied by single and product moments of order statistics and progressive Type-II right censoring. The recurrence relations for moments of some specific distributions including uniform (a, b); exponential (λ); generalized exponential (α, λ, ν); beta (1, b); beta (b, 1); logistic (α, β) and other distributions from order statistics and progressive Type-II right censoring can be obtained as special cases. A short explanation of GS-distribution can be found in reference [27]. As an example, means, variances and covariances …

H-Coloring Tori, John Engbers, David Galvin

Mathematics, Statistics and Computer Science Faculty Research and Publications

For graphs G and H, an H-coloring of G is a function from the vertices of G to the vertices of H that preserves adjacency. H-colorings encode graph theory notions such as independent sets and proper colorings, and are a natural setting for the study of hard-constraint models in statistical physics. We study the set of H-colorings of the even discrete torus View the MathML source, the graph on vertex set {0,…,m−1}d (m even) with two strings adjacent if they differ by 1 (mod m) on one coordinate and agree on all others. This is a bipartite graph, with bipartition …

Cystatin C Identifies Patients With Stable Chronic Heart Failure At Increased Risk For Adverse Cardiovascular Events, Matthias Dupont, Yuping Wu, Stanley L. Hazen, W.H. Wilson Tang

Mathematics and Statistics Faculty Publications

Background—Renal function is a strong predictor of adverse events in heart failure. Current renal function measures are imperfect, and cystatin C (CysC) is promoted as a better marker of glomerular filtration rate. This study compares the prognostic use of CysC and derived glomerular filtration rate estimates with other measures of renal function in patients with chronic heart failure. Methods and Results—We measured serum CysC levels in 823 patients with heart failure undergoing coronary angiography with follow-up of major adverse cardiovascular events (death, myocardial infarction, stroke). CysC levels strongly correlated with creatinine (r=0.73), blood urea nitrogen (r=0.70), and estimated glomerular filtration …

Dynamics Of A Three Species Competition Model, Yuan Lou, Daniel Munther

Mathematics and Statistics Faculty Publications

We investigate the dynamics of a three species competition model, in which all species have the same population dynamics but distinct dispersal strategies. Gejji et al. [15] introduced a general dispersal strategy for two species, termed as an ideal free pair in this paper, which can result in the ideal free distributions of two competing species at equilibrium. We show that if one of the three species adopts a dispersal strategy which produces the ideal free distribution, then none of the other two species can persist if they do not form an ideal free pair. We also show that if …

Forecasting The Effect Of The Amethyst Initiative On College Drinking, Ben G. Fitzpatrick, Richard Scribner, Azmy S. Ackleh, Jawaid Rasul, Geoffrey Jacquez, Neal Simonsen, Robert Rommel

Mathematics, Statistics and Data Science Faculty Works

Background

A number of college presidents have endorsed the Amethyst Initiative, a call to consider lowering the minimum legal drinking age (MLDA). Our objective is to forecast the effect of the Amethyst Initiative on college drinking.

Methods

A system model of college drinking siumlates MLDA changes through (1) a decrease in heavy episodic drinking (HED) due to the lower likelihood of students drinking in unsupervised settings where they model irresponsible drinking (misperception), and (2) an increase in overall drinking among currently underage students due to increased social availability of alcohol (wetness).

Results

For the proportion of HEDs on campus, effects …

Fast Algorithms For Brownian Dynamics Simulation With Hydrodynamic Interactions, Zhi Liang

Dissertations

In the Brownian dynamics simulation with hydrodynamic interactions, one needs to generate the total displacement vectors of Brownian particles consisting of two parts: a deterministic part which is proportional to the product of the Rotne-Prager-Yamakawa (RPY) tensor D [1, 2] and the given external forces F; and a hydrodynamically correlated random part whose covariance is proportional to the RPY tensor. To be more precise, one needs to calculate Du for a given vector u and compute √Dv for a normally distributed random vector v. For an arbitrary N-particle configuration, D is a 3N x 3N matrix and u, v are …

Analytical And Computational Methods For The Study Of Rare Event Probabilities In Dispersive And Dissipative Waves, Daniel S. Cargill

Dissertations

The main focus of this dissertation is the application of importance sampling (IS) to calculate the probabilities associated with rare events in nonlinear, large-dimensional lightwave systems that are driven by noise, including models for fiber-based optical communication system and mode-locked lasers. Throughout the last decade, IS has emerged as a valuable tool for improving the efficiency of simulating rare events in such systems. In particular, it has shown great success in simulating various sources of transmission impairments found in optical communication systems, with examples ranging from large polarization fluctuations resulting from randomly varying fiber birefringence to large pulse-width fluctuations resulting …

Analysis On The Strategies Of Daily Maersk, Wenjun Yuan

World Maritime University Dissertations

No abstract provided.

Research Of Laytime And Demurrage, Gengwei Zheng

World Maritime University Dissertations

No abstract provided.

Study On Optimal Dwell Time At Jakarta International Container Terminal, Siti Nurrochmah Badrudin

World Maritime University Dissertations

No abstract provided.