Poisson积分的拟小波方法

用拟小波方法给出Poisson积分的数值计算公式,并用数值算例检验了我们的数值计算公式,实验表明该算法是好的.     

用普阿松分布逼近二项分布的误差估计

在概率论中有大量的实际问题需要用二项分布来求解,但二项分布的计算有时相当麻烦,计算量相当大,往往同普阿松分布来逼近二项分布以简化计算.对于这种逼近的近似程度如何,怎样估计其误差以达到预定的准确度等问题作了一些探讨.     

Peripheral alterations after two different concentric power protocols

Abstract

The aims of the present study were to assess the ability of explosive concentric contractions to induce high-frequency fatigue, and to determine what effects the number of repetitions and number of sets have upon peripheral fatigue. Nine male students performed two protocols (6 sets, 5 min and 1 week rest between sets and protocols, respectively) with a different number of concentric jumps in a set on the sledge (10 vs. 20 jumps in the first (S10) and the second protocol (S20), respectively). Isometric twitch torque, torque during low-frequency (20 Hz) and high-frequency (100 Hz) electrical stimulation of the vastus lateralis were measured (before protocols and 30 s after sets). Peak twitch torque increased, while contraction and half-relaxation times shortened during the S10 protocol (P<0.05). The increase in peak twitch torque was accompanied by non-significant reductions in contraction time and half-relaxation time in the S20 protocol. High- and low-frequency torques did not change significantly in either protocol. The high- to low-frequency torque ratio increased significantly (P<0.05) after the fourth set in the S10 protocol. Post-activation potentiation was the main reason for enhanced contractile response after both protocols. There were no alterations in high-frequency torque or reductions in the high- to low-frequency torque ratio, even with increased sets and repetitions. Explosive concentric contractions showed no potential to induce high-frequency fatigue, when separated with long periods of rest.     

Figuring out the statistics of the ICC World Cup 2011

This paper deals with the analysis of cricket match results from the ICC World Cup 2011. We believe that such data provide good material for interesting classroom exercises.     

Poisson定理的推广

推广了Poisson定理,并论证了已知X1+…+Xr(Xi(i=1,…,r)为独立的Poisson随机变量)时,X1+…+X(r-1)服从推广的二项分布。     

一阶自回归理赔量的风险模型

随着保险经营业务的不断扩大、创新,描述其风险的模型也越来越多,但它们大都基于理赔量相互独立的基础之上。通过理赔量具有相关性的复合Poisson过程的研究,得到破产概率ψ^-（u,w）的具体表达式及特定条件下被推广的“伦德伯格不等式”。     

Discovering patterns in interarrival data

It is suggested that students collect interarrival data for customers arriving at a queue. Two common features will often occur across these various datasets. Some data collection hints, some problems for students to pursue and a few pointers to the literature are given.     

Introducing perception and modelling of spatial randomness in classroom

A strategy to facilitate understanding of spatial randomness is described, using student activities developed in sequence: looking at spatial patterns, simulating approximate spatial randomness using a grid of equally‐likely squares, using binomial probabilities for approximations and predictions and then comparing with given Poisson probabilities. Key questions are discussed with students on concepts needed to understand the approximate models and to generate predictions based on the approximations. The sequence is structured to be interactive to encourage student's interest and curiosity.     

如何提高初学者跳远助跑的准确性

对如何提高跳远助跑的准确性进行分析研究，证明提高跳远助跑准确性的练习方法，分析解决了提高跳远助跑准确性的几个问题，特别是在跳远运动实践中，速度训练效果如何转化为提高跳远助跑准确性进行了详细的理论分析，认识到跳远教学和训练中如何提高助跑的准确性。