破产分布及其方程

In this paper, the ruin distributions were analyzed, Including the distribution of surplus immediately before ruin, the distribution of claim at the time of ruin, the distribution of deficit, and the distribution of surplus at the beginning of the claim period before ruin. Several Integral equations for the ruin distributions were derived and some solutions under special conditions were obtained.     

Mean and Variance through Factorial Moments

This article shows how the use of factorial moments provides a simple, consistent yet elegant approach to finding the mean and variance of standard discrete probability distributions.     

离散型随机变量常见分布列中的极值

讨论了分布函数p(ξ=k)=p(k)的极值问题,并给出了一种求离散型分布列函数极值的一种简便算法--比值法.     

小概率事件原理及其应用

小概率事件原理是概率论中具有实际应用意义的基本理论．本文从常见问题出发,探讨了此原理在概率统计中的应用,并通过实例介绍了这一原理的应用．     

A distributional analysis of the effect of physical exercise on a choice reaction time task

Abstract

The aim of this study was to examine the facilitating effects of physical exercise on the reaction process. Eleven participants with specific expertise in decision-making sports performed a choice reaction time task during moderate sub-maximal exercise (90% of their ventilatory threshold power). Participants were tested at rest and while cycling. During exercise, the participants were faster, without being more variable. We suggest that the effect of exercise on cognitive performance was due to a major generalized improvement of the whole distribution of response time and, although the benefit effect was small, it was consistent throughout the entire range of reaction times.     

Dynamic Monte Carlo study on the probability distribution functions of tail-like polymer chain

INTRODUCTION Polymer chains with one end attached to a sur- face by means of physical or chemical interaction have become one of the important polymer science subject, which are useful for many applications, such as polymer compatibilizers, copolymer microphases, colloid stabilization, polymeric surfactants (Milner, 1991). Grafting polymers can improve the power efficiency of electrorheological fluids, enhance pho- toluminescence of nano materials, and increase dis- persion stability. On …     

浅谈《概率论与随机过程》课程教学

《概率论与随机过程》是电子信息类专业的一门重要的学科基础课,该课程不仅具有较强的理论性,还具有较强的实践性。因此在课程教学中,如何有效组织课程内容,提高学生学习兴趣,进而开拓学生思维,是本课程教师应该深思的问题。文章结合作者的教学经验,对该课程的教学方法进行了总结和探索。