Statistics and Probability Commons^™

Judicial Decisionmaking In Federal Products Liability Cases, 1978-1997, Theodore Eisenberg

Cornell Law Faculty Publications

In 1992, Professor James Henderson and I wrote that, throughout the 1980s, a quiet, pro-defendant revolution in products liability had occurred. That revolution was likely largely the product of a "widespread, independent shift in judicial attitudes." It was not discernable in cases tried before juries. The federal data used in that study were available through 1989. Also in 1992, using the same database, Professor Kevin Clermont and I wrote about the surprising relation between plaintiff win rates in judge and jury trials in products liability cases. Plaintiffs prevailed at a higher rate before judges than they did before juries. Comparable …

Measuring The Deterrent Effect Of Punitive Damages, Theodore Eisenberg

Cornell Law Faculty Publications

Professor Viscusi's article differs from the dominant mode of law and economics scholarship on punitive damages. The usual punitive damages article contains purely theoretical considerations about when punitive damages are appropriate and about their optimal level; no effort is made to ascertain whether the existing pattern of punitive awards corresponds with the theory. This is part of a larger problem: the dearth of empirical evidence in law and economics scholarship. Viscusi, on the other hand, provides empirical tests of whether punitive damages accomplish their goals, and he makes creative use of publicly available data sources. For the goal of his …

A Structural Result Of Irreducible Inclusions Of Type Iii Lambda Factors, Lambda Is An Element Of (0,1), Phan Loi

Mathematics and Statistics Faculty Publications

Given an irreducible inclusion of factors with finite index N ⊂ M, where M is of type III_λ1/m, N of type III_λ1/n, 0 < λ < 1, and m,n are relatively prime positive integers, we will prove that if N ⊂ M satisfies a commuting square condition, then its structure can be characterized by using fixed point algebras and crossed products of automorphisms acting on the middle inclusion of factors associated with N ⊂ M. Relations between N ⊂ M and a certain G-kernel on subfactors are also discussed.

But Was He Sorry? The Role Of Remorse In Capital Sentencing, Theodore Eisenberg, Stephen P. Garvey, Martin T. Wells

Cornell Law Faculty Publications

What role does remorse really play in capital sentencing? We divide this basic question in two. First, what makes jurors come to believe a defendant is remorseful? Second, does a belief in the defendant's remorse affect the jury's final judgment of life or death? Here we present a systematic, empirical analysis that tries to answer these questions.

What makes jurors think a defendant is remorseful? Among other things, we find that the more jurors think that the crime is coldblooded, calculated, and depraved and that the defendant is dangerous, the less likely they are to think the defendant is remorseful. …

Evolution Of Mixed-State Regions In Type-Ii Superconductors, Chaocheng Huang, Tom Svobodny

Mathematics and Statistics Faculty Publications

A mean-field model for dynamics of superconducting vortices is studied. The model, consisting of an elliptic equation coupled with a hyperbolic equation with discontinuous initial data, is formulated as a system of nonlocal integrodifferential equations. We show that there exists a unique classical solution in C^1+α(Ω₀) for all t > Ω, where Ω₀ is the initial vortex region that is assumed to be in C^1+α. Consequently, for any time t, the vortex region Ω_t is of C^1+α, and the vorticity is in C^α(Ω_t).

Review Of: Charles R. Bennett, Risks In The Environment: How To Assess Them, Penny Dean

RISK: Health, Safety & Environment (1990-2002)

Review of: Charles R. Bennett, Risks in the Environment: How to Assess Them (Burloak Publications 1996). Appendices, references for the appendices, prologue. ISBN 0-9680438-0-1 [305 pp. Paper $23.95. 277 Belvenia Rd., Burlington, Ontario.]

Ranking And Explaining The Scholarly Impact Of Law Schools, Theodore Eisenberg, Martin T. Wells

Cornell Law Faculty Publications

This article measures 32 law schools' academic reputations by citations to their faculties' works. Yale, Chicago, Harvard, and Stanford rank alone at the top. Seven or eight schools compose the next group. We also explore the relation between scholarly impact and entry-level or lateral hire status, gender, minority status, subjects taught, and years in teaching. Lateral hires systematically outperform entry-level hires. We find no substantial evidence of male-female differences. We find some evidence of lower citations for minority females, but this difference is largely attributable to those in teaching fewer than 8 years. For faculty members in teaching more than …

Larger Board Size And Decreasing Firm Value In Small Firms, Theodore Eisenberg, Stefan Sundgren, Martin T. Wells

Cornell Law Faculty Publications

Several studies hypothesize a relation between board size and financial performance. Empirical tests of the relation exist in only a few studies of large U.S. firms. We find a significant negative correlation between board size and profitability in a sample of small and midsize Finnish firms. Finding a board-size effect for a new and different class of firms affects the range of explanations for the board-size effect.

Optimum Preventive Maintenance Policies For The Amraam Missile, Scott J. Ruflin

Theses and Dissertations

The overall objective of this research effort was to formulate a preventive maintenance strategy for AMRAAM missiles subject to extended captive carry flight time. A preventive maintenance policy is only applicable if the item in question is aging, or deteriorating with time. Therefore, a supporting objective of this research is to characterize the aging process of the missile system through a non-parametric analysis of its Mean Residual Life (MRL) function. Three non-parametric, censored-data MRL function estimation techniques discussed in the literature are examined via a numerical example. All three estimation techniques provide MRL functions that exhibit greatly exaggerated decreasing trends …

Ua56/1 Fact Book, Wku Institutional Research

WKU Administration Documents

Statistical and demographic profile of WKU.

Orthogonal Harmonic Analysis Of Fractal Measures, Palle Jorgensen, Steen Pedersen

Mathematics and Statistics Faculty Publications

We show that certain iteration systems lead to fractal measures admitting an exact orthogonal harmonic analysis.

Analysis Of Experimental Designs Used In Bioassays, Vidyadhar Kshirsagar

Master's Theses and Doctoral Dissertations

No abstract provided.

Punitive Awards After Bmw, A New Capping System, And The Reported Opinion Bias, Theodore Eisenberg, Martin T. Wells

Cornell Law Faculty Publications

Capping punitive damages awards is a centerpiece of the tort reform movement. According to the American Tort Reform Association, as of June 30, 1996, forty-three states allowed punitive damages awards. Of these, twenty-nine states impose no caps on punitive damages and fourteen impose some form of cap. In states that cap punitive awards, the preferred method is to employ a simple multiple of the compensatory award. Eleven states rely on a multiple of the compensatory damages award. The most popular multiple is three times the compensatory award, but this is used by only five states. The capping multiples range from …

Averaged Motion Of Charged Particles In A Curved Strip, Avner Friedman, Chaocheng Huang

Mathematics and Statistics Faculty Publications

This paper is concerned with the motion of electrically charged particles in a "curved" infinite strip.

On The Product Of Two Generalized Derivations, Mohamed Barraa, Steen Pedersen

Mathematics and Statistics Faculty Publications

Two elements A and B in a ring R determine a generalized derivation delta_A,B on R by setting δ_A,B(X) = AX - XA for any X in R. We characterize when the product δ_C,Dδ_A,B is a generalized derivation in the cases when the ring R is the algebra of all bounded operators on a Banach space epsilon, and when R is a C*-algebra U. We use the se characterizations to compute the commutant of the range of δ_A,B.

Is Chapter 11 Too Favorable To Debtors? Evidence From Abroad, Theodore Eisenberg, Stefan Sundgren

Cornell Law Faculty Publications

Chapter 11 is widely believed to be among the industrialized world's most debtor-oriented reorganization laws. Critics assert that Chapter 11 is too easily available and that it allows debtors too much control by, inter alia, not requiring appointment of a trustee. One criticism of Chapter 11, low returns to unsecured creditors, resonates with an important theme of this Symposium, the Bebchuk-Fried proposal to reduce secured creditor priority in insolvency proceedings. The Chapter 11 criticisms and the Bebchuk-Fried proposal raise the question whether less easy access to Chapter 11, reduced debtor control, diminished secured creditor priority, or other changes could reduce …

Seasonal Adjustment Of Naira Exchange Rate Statistics 1970-1995, O M. Akinuli

CBN Occasional Papers

This paper uses a current statistical approach to examine and adjust the seasonalities in the Naira exchange rate statistics, vis-a-vis the U.S. Dollar and the pound sterling for a period of twenty-five (25) years. Such study is necessary as it helps to understand the behavioural pattern of a trend in an attempt to predict the future. An investigation like this also helps to expose both the short and long run tendencies of a series which may require urgent or new policy measures to be taken sooner than expected. This paper reviews the regimes of exchange rate under the period, the …

Hypersurfaces In R-D And The Variance Of Exit Times For Brownian Motion, Kimberly Kinateder, Patrick Mcdonald

Mathematics and Statistics Faculty Publications

Using the first exit time for Brownian motion from a smoothly bounded domain in Euclidean space, we define two natural functionals on the space of embedded, compact, oriented, unparametrized hypersurfaces in Euclidean space. We develop explicit formulas for the first variation of each of the functionals and characterize the critical points.

Mark-Recapture Creel Survey And Survival Models, Shampa Saha

Mathematics & Statistics Theses & Dissertations

In this dissertation, we consider a model based approach to the estimation of exploitation rate of a fish population by combining mark-recapture procedures with a creel survey. We also consider the analysis of a proportional hazards survival model for randomly censored observations, known as the Koziol-Green model. The model assumes that the lifetime survivor function is a power of the censored time survivor function.

In Chapter 2, we introduce the model based approach to the estimation of the exploitation rate of a fish population by combining mark-recapture procedures with a creel survey. We assume that in the beginning of a …

The Predictability Of Punitive Damages, Theodore Eisenberg, John Goerdt, Brian Ostrom, David Rottman, Martin T. Wells

Cornell Law Faculty Publications

Using one year of jury trial outcomes from 45 of the nation's most populous counties, this article shows a strong and statistically significant correlation between compensatory and punitive damages. These findings are replicated in 25 years of punitive damages awards from Cook County, Illinois, and California. In addition, we find no evidence that punitive damages awards are more likely when individuals sue businesses than when individuals sue individuals. With respect to award frequency, juries rarely award punitive damages and appear to be especially reluctant to do so in the areas of law that have captured the most attention, products liability …

A Comparison Of Circular Error Probable Estimators For Small Samples, Charles E. Williams

Theses and Dissertations

Several previous studies investigated the performance of competing circular error probable (CEP) estimators for small samples. This estimation is important in ICBM analysis because, due to expense, there are a limited number of ICBM test launches. In the most recent previous study (1993), Tongue considered five CEP estimators in a simulation test, attempting to determine the behavior of these estimators for populations of various bias, ellipticity, correlation, and sample size. In this paper, we build on Tongue's findings in three ways: (1) The number of estimators compared is expanded to eight. (2) Different factors and factor levels are used. (3) …

Experiments In Aggregating Air Ordnance Effectiveness Data For The Tacwar Model, James E. Parker

Theses and Dissertations

An interactive MS Access&trademark; based application that aggregates the output of the SABSEL model for input into the TACWAR model is developed. The application was developed following efforts to create a functional approximation of the SABSEL data using neural networks, statistical networks, and traditional statistical techniques. These approximations were compared to a look-up table methodology on the basis of accuracy, (RMSE

Ua56/1 Fact Book, Wku Institutional Research

WKU Administration Documents

Statistical and demographic profile of WKU.

Travelling Fronts In Cylinders And Their Stability, Jerrold W. Bebernes, Comgming Li, Yi Li

Mathematics and Statistics Faculty Publications

No abstract provided.

Eigenfunction And Harmonic Function Estimates In Domains With Horns And Cusps, Michael Cranston, Yi Li

Mathematics and Statistics Faculty Publications

No abstract provided.

The Litigious Plaintiff Hypothesis: Case Selection And Resolution, Theodore Eisenberg, Henry S. Farber

Cornell Law Faculty Publications

The process through which cases are selected for litigation cannot be ignored because it yields a set of lawsuits and plaintiffs that is far from a random selection either of potential claims or of potential claimants. We present a theoretical framework for understanding the operation of this suit-selection process and its relationship to the underlying distribution of potential claims and claimants. The model has implications for the trial rate and the plaintiff win rate at trial. Our empirical analysis, using data on over 200,000 federal civil litigations, yields results that are strongly consistent with the theory.

Analysis Of Repeated Measures Data Under Circular Covariance, Andrew Montgomery Hartley

Mathematics & Statistics Theses & Dissertations

Circular covariance is important in modelling phenomena in epidemiological, communications and numerous physical contexts. We introduce and develop a variety of methods which make it a more versatile tool. First, we present two classes of estimators for use in the presence of missing observations. Using simulations, we show that the mean squared errors of the estimators of one of these classes are smaller than those of the Maximum Likelihood (ML) estimators under certain conditions. Next, we propose and discuss a parsimonious, autoregressive type of circular covariance structure which involves only two parameters. We specify ML and other types of estimators …

Existence And Bifurcation Of The Positive Solutions For A Semilinear Equation With Critical Exponent, Yinbin Deng, Yi Li

Mathematics and Statistics Faculty Publications

In this paper, we consider the semilinear elliptic equation[formula]Forp=2N/(N−2), we show that there exists a positive constantμ*>0 such that (∗)_μpossesses at least one solution ifμ∈(0, μ*) and no solutions ifμ>μ*. Furthermore, (∗)_μpossesses a unique solution whenμ=μ*, and at least two solutions whenμ∈(0, μ*) and 2<NN⩾6, under some monotonicity conditions onf((1.6)) we show that there exist two constants 0<μ_**⩽μ**<μ* such that problem (∗)_{μ …}

Self-Consistency: A Fundamental Concept In Statistics, Thaddeus Tarpey, Bernard Flury

Mathematics and Statistics Faculty Publications

The term ''self-consistency'' was introduced in 1989 by Hastie and Stuetzle to describe the property that each point on a smooth curve or surface is the mean of all points that project orthogonally onto it. We generalize this concept to self-consistent random vectors: a random vector Y is self-consistent for X if E[X|Y] = Y almost surely. This allows us to construct a unified theoretical basis for principal components, principal curves and surfaces, principal points, principal variables, principal modes of variation and other statistical methods. We provide some general results on self-consistent random variables, give …

Stability Analysis Of A Model For The Defect Structure Of Yba2cu3ox, Gregory Kozlowski, Tom Svobodny

Physics Faculty Publications

Unusual microstructures of YBa₂Cu₃O_x (123) crystals have been observed. These structures have been shown to pass very high transport currents. A model of the solidification of 123 from a melt with Y₂BaCuO₅ (211) inclusions indicates that the stability of the 123 interface can depend on the sizes of the 211 inclusions. The observed formations are interpreted in the light of this instability.