The Langevin distribution on high dimensional spheres

The Langevin (or von-Mises) distribution L(μ,k,q) of a unit vector in Rq has been well studied for the cases of large samples (n? 8) and high concentrations (K? 8). Here we study it as q? 8. Interesting results are only obtained when we use L(μ,q^½,q).     

U2n test for uniformity of discrete distributions

Lockhart et al. have given an elegant account of this recently. In this paper, I will show that the method which originally led to U2n works just as well in the discrete case-and suggests a proof in the continuous case.     

Reducing high blood cholesterol in children

There is compelling evidence that the process of atherosclerosis begins in childhood as a result of elevated levels of blood cholesterol and that preventing or slowing this process in childhood can extend the years of healthy life for many Americans. Health professionals need to use a variety of strategies to affect social policy in order to decrease the abuse of children whose elevated blood cholesterol has been ignored by the health care system. Through these strategies we can begin to improve the health of our children and thus ultimately improve the health of all Americans.     

A TWO STAGE PROCEDURE FOR ESTIMATING THE SIZE OF A TRUNCATED EXPONENTIAL SAMPLE

Let X₁, …, X_N be i.i.d. exponential random variables with unknown scale parameter θ. If one can observe only those X_i in (0, T₀), an estimate of N based on the J observations obtained has a variance which explodes as θ→θC. Using θC based on the observations in (0, T₀) T is computed and all X_i in (0, ) are observed. An estimate of N based on all observations in (0, ) has a bounded variance where the bound can be adjusted by proper choice of .     

Binge drinking during the first semester of college: continuation and desistance from high school patterns

Students' first semester on campus may set the stage for their alcohol use/misuse throughout college. The authors surveyed 274 randomly sampled first-semester freshmen at a large southwestern university on their past 2 weeks' binge drinking, their high school binge drinking, and psychosocial factors possibly associated with drinking. They conducted separate analyses among high school nonbinge drinkers (testing for predictors of college binge onset vs continued nonbinge drinking) and high school binge drinkers (testing for predictors of continued binge drinking in college vs desistance from drinking). In both analyses, the variables that predicted college binge drinking largely revolved around gregarious socializing (e.g, partying, having a social network of individuals who drank relatively heavily). Gender was predictive only among high school nonbinge drinkers; women had a higher probability than did men of adopting binge drinking in college.     

Financial Distress Prediction Models: A Review of Their Usefulness1

Throughout the 1980s there has been continued interest in developing financial distress prediction models for both large and small firms. There has, however, been no survey of this literature directed towards assessing the uses and limitations of these models in a management context. The purpose of the paper is, therefore, to indicate the managerial uses and limitations associated with adopting financial distress prediction models. The paper achieves this end by considering in section two the current financial distress prediction techniques and their limitations. Section three examines the relevance of the predicted event (usually actual failure), the usefulness of multi-outcome models and the appropriateness of various sample selection methods. A review of the range and adequacy of the financial and non-financial information used to construct predictive models forms the basis of the fourth section and is followed in section five by a review of the validity of the claims made on behalf of their predictive accuracy. The following section examines the efficacy of other methods of predicting distress, and reviews the ‘man versus model’ literature concerning the relative abilities of unaided human decision-makers and statistical models. The final section offers conclusions and suggests where future work might be directed.