Applied Statistics Commons^™

Commuting Self-Adjoint Extensions Of Symmetric Operators Defined From The Partial Derivatives, Palle Jorgensen, Steen Pedersen

Mathematics and Statistics Faculty Publications

We consider the problem of finding commuting self-adjoint extensions of the partial derivatives {(1/i)(∂/∂x_j):j=1,...,d} with domain C^∞_c(Ω) where the self-adjointness is defined relative to L²(Ω), and Ω is a given open subset of R^d.

The Expected Wet Period Of Finite Dam With Exponential Inputs, Eui Yong Lee, Kimberly Kinateder

Mathematics and Statistics Faculty Publications

We use martingale methods to obtain an explicit formula for the expected wet period of the finite dam of capacity V, where the amounts of inputs are i.i.d exponential random variables and the output rate is one, when the reservoir is not empty. As a consequence, we obtain an explicit formula for the expected hitting time of either 0 or V and a new expression for the distribution of the number of overflows during the wet period, both without the use of complex analysis.

A Nonlinear Parabolic Equation Modelling Surfactant Diffusion, Xinfu Chen, Chaocheng Huang, Jennifer Zhao

Mathematics and Statistics Faculty Publications

An initial-boundary value problem for nonlinear parabolic equations modelling surfactant diffusions is investigated. The boundary conditions are of nonlinear adsorptive types, and the initial value has a single point jump. We study the well-posedness of the problem, the convergence of a numerical scheme, and the regularity as well as quantitative behaviour of solutions.

Permitting Jury Discussions During Trial: Impact Of The Arizona Reform, Paula Hannaford-Agor, Valerie P. Hans, G. Thomas Munsterman

Cornell Law Faculty Publications

A field experiment tested the effect of an Arizona civil jury reform that allows jurors to discuss evidence among themselves during the trial. Judges, jurors, attorneys, and litigants completed questionnaires in trials randomly assigned to either a Trial Discussions condition, in which jurors were permitted to discuss the evidence during trial, or a No Discussions condition, in which jurors were prohibited from discussing evidence during trial according to traditional admonitions. Judicial agreement with jury verdicts did not differ between conditions. Permitting jurors to discuss the evidence did affect the degree of certainty that jurors reported about their preferences at the …

Empirical Methods And The Law, Theodore Eisenberg

Cornell Law Faculty Publications

One can divide empirical analysis of legal issues into three major branches: (1) the use of scientific empirical analysis by litigants to attempt to prevail in individual cases, (2) the use of social scientific empirical analysis in individual cases, and (3) the use of the empirical methods to describe the legal system’s operation. The first two uses present difficulties that reflect a fundamental limitation on using statistical methods in law: the difference between establishing statistical association and establishing actual causation in an individual case filtered through our adversary legal system. The third use encounters no such obstacle and can aid …

The Timing Of Opinion Formation By Jurors In Civil Cases: An Empirical Examination, Paula Hannaford-Agor, Valerie P. Hans, Nicole L. Mott, G. Thomas Munsterman

Cornell Law Faculty Publications

The question of when and how jurors form opinions about evidence presented at trial has been the focus of seemingly endless speculation. For lawyers, the question is how to capture the attention and approval of the jury at the earliest possible point in the trial. Their goal is to maximize the persuasiveness of their arguments--or at least to minimize the persuasiveness of those of the opposing side. Judges, in contrast, are more concerned about prejudgment. They regularly admonish jurors to suspend judgment until after all the evidence has been presented and after the jurors have been instructed on the law. …

The Emotional Economy Of Capital Sentencing, Stephen P. Garvey

Cornell Law Faculty Publications

You often hear that one reason capital jurors condemn capital defendants is that jurors don't empathize with defendants. And one reason they don't empathize is that the process of capital sentencing is rigged against empathy. Using data from the South Carolina segment of the Capital Jury Project, I try to examine the role emotion plays in capital sentencing.

Without entering here all the important and necessary caveats, I find that the self-reported emotional responses jurors have toward capital defendants run the gamut from sympathy and pity at one extreme, to disgust, anger, and fear at the other. What causes these …

Associations Among Hospital Capacity, Utilization, And Mortality Of Us Medicare Beneficiaries, Controlling For Sociodemographic Factors., E. S. Fisher, J. E. Wennberg, T. A. Stukel, J. S. Skinner, S. M. Sharp

Dartmouth Scholarship

To explore whether geographic variations in Medicare hospital utilization rates are due to differences in local hospital capacity, after controlling for socioeconomic status and disease burden, and to determine whether greater hospital capacity is associated with lower Medicare mortality rates.

Ua56/1 Facts At A Glance, Wku Institutional Research

WKU Administration Documents

Statistical and demographic profile of WKU.

Ua56/1 Fact Book, Wku Institutional Research

WKU Administration Documents

Statistical and demographic profile of WKU.

Separation Property Of Solutions For A Semilinear Elliptic Equation, Yi Liu, Yi Li, Yinbin Deng

Mathematics and Statistics Faculty Publications

In this paper, we study the following elliptic problem[formula]where K(x) is a given function in C^α(ⁿ\0) for some fixed α∈(0, 1), p>1 is a constant. Some existence, monotonicity and asymptotic expansion at infinity of solutions of (*) are discussed.

Nonparametric Bayes Estimation Of Contamination Levels Using Observations From The Residual Distribution, Paul H. Kvam, Ram C. Tiwari, Jyoti N. Zalkikar

Department of Math & Statistics Faculty Publications

A nonparametric Bayes estimator of the survival function is derived for right censored data where additional observations from the residual distribution are available. The estimation is motivated by data on contamination concentrations for chromium from one of the EPA's toxic waste sites. The residual sample can be produced by hot spot sampling, where only samples above a given threshold value are collected. The Dirichlet process is used to formulate prior information about the chromium contamination, and we compare the Bayes estimator of the mean concentration level to other estimators currently considered by the EPA and other sources. The Bayes estimator …

Inbreeding In Law School Hiring: Assessing The Performance Of Faculty Hired From Within, Theodore Eisenberg, Martin T. Wells

Cornell Law Faculty Publications

This study compares the scholarly impact of inbred entry-level law school faculty members with the scholarly impact of noninbred entry-level law school faculty members. The sample includes 32 law schools and approximately 700 entry-level faculty members. By our measure of performance, scholarly impact as measured by citation frequency, inbred entry-level law school faculty members do not perform as well as noninbred entry-level faculty members.

Day Of The Week Effect In The Kuala Lumpur Stock Exchange, 1994-1998, Santhi Arasan

Student Works (2000-2009)

This paper investigates whether the day of the week effect anomaly exists in the Kuala Lumpur Stock Exchange (KLSE) over a period of time from 1994 to 1998 using the Exchange Main Board All-Share Index or the EMAS Index, which incorporates all Main Board Companies. The analysis of the day of the week effect during the study period is further explored in relation to firm size and economic conditions. In relation to firm size, this paper investigates whether the day of the week effect is persistent for both large and small firms by comparing the daily mean returns of the …