Determining heterogeneous behavior for theater attendance

In this paper we propose and estimate a model of theater participation using the data contained in the 2002 Survey of Public Participation in the Arts from the USA, a dataset widely used to study the determinants of cultural participation. Our contribution relies on the use of an estimation technique that respects the count data nature of the attendance variable (number of theater performances that an individual attended) and allows for heterogeneous behavior. By using a Zero Inflated Negative Binomial Model, we can characterize two distinct behaviors for the observable attendance: a group of never-goers (who never participate) and a subpopulation that has a positive probability of attending. For this latter group, we can estimate the effect of certain personal variables on the probability of highest frequency. The results suggest that the proposed model is appropriate for estimating cultural participation.

Introductory statistics in the garden

This article describes four semesters of introductory statistics courses that incorporate service learning and gardening into the curriculum with applications of the binomial distribution, least squares regression and hypothesis testing. The activities span multiple semesters and are iterative in nature.     

带延迟的双险种完全离散复合二项风险模型

由于随着保险公司风险经营规模的不断扩大，考虑到单险种风险模型的局限性，研究了带延迟的双险种完全离散复合二项风险模型，利用完全离散风险模型的结果及条件期望的性质得到了该模型破产概率ψ（U）的表达式以及有限时间生存概率等重要指标．     

关于二项式的一个猜想

对二项式的一个猜想,对所有的自然数n均有:(a+b)2n+1=a2n+1+b2n+1+2n+1ab(a+b)(a2+ab+b2)n-1作了进一步的探讨,并且得到不等式(2),(3).     

An approach to estimate degree completion using drop-out rates

A completion rate of an institution I of year x is defined as the proportion of starting students during year x that succeed in graduating at I at some point in the future. In this paper, a new method is proposed to estimate such completion rate. This indicator is entirely based on the population of drop-out students during one academic year x at the institution I. The proposed method is not based on a cohort of students so it allows an estimation of the current school effectiveness without substantial delay. Furthermore a statistical framework is presented in which completion rates can be studied. The proposed methodology results in a statistical estimator with a bias that stays small under appropriate assumptions.     

Probabilistic Combinatorics

In a recent article in Teaching Statistics, Marcuson (1989) has presented an interesting alternative approach to establishing some combinatorial identities, quite different from the usual induction proofs. The purpose of this short note is to suggest yet another way in whcih combinatorics can sometimes be approached.     

Illustrating Dependence between Random Variables Using Slot Machines

This article illustrates the concept of statistical independence using the example of slot machines that may be played on multiple lines.     

我国可转债定价方法研究

可转债是一种较为复杂的金融衍生产品。对我国可转债的理论价格与市场价格的差异做实证分析,表明在资本市场无法满足做空套利机制下,可转债理论价格远高于市场价格,需用偏最小二乘回归方法进行可转债的定价预测。