基于GERT网络的应急抢险过程资源优化配置模型研究

针对应急抢险过程中资源需求与供应不匹配的问题,通过定义应急抢险过程GERT网络的基本单元,建立了一种综合考虑灾害自身演化过程及外界作用相互关系的应急抢险过程GERT网络,设计了求解不同资源配置情况下突发事件状态转移概率的极大熵模型;研究了应急抢险过程GERT网络的简化性质,给出了基于GERT网络的应急抢险过程资源最优配置的求解算法。为应急资源配置提供了定性与定量结合的分析框架与工具,为灾害发展态势的预测及其资源配置提供了新的研究方法和研究思路。     

基于条件概率积分变换的多元Copula函数选择

本文构建了基于条件概率积分变换的Copula函数选择方法,通过对条件概率积分变换下Anderson-Darling(AD)、Kolmogorov-Smirnov(KS)、Cramér-von Mises(CM)这三种统计量的比较,讨论在不同样本容量和变量维数下其对多种Copula函数的拟合效果。利用GSPTSE、INMEX.MX和NDX三大股指样本,将基于条件概率积分变换的Copula函数选择方法与核密度估计和极大似然估计选择法的效果进行系统比较。结果表明,基于条件概率积分变换的检验法可以有效解决多元Copula函数的选择问题,其拟合优度检验更精确、更稳定;核密度估计检验在大样本下比较稳定,而小样本下稳定性较差;相比之下,极大似然值检验法则不稳定。     

基于非参数时变Copula模型的美国次贷危机传染分析

金融危机传染分析是国际金融领域中的重要课题,本文对Copula变点检测方法进行推广,采用时变非参数阿基米德Copula模型检验金融危机传染的存在性及其变化趋势,以时变尾部相依系数的大小来度量危机传染程度,并结合系数的变化趋势和时间段对金融危机传染效应进行分析.最后选择全球六个主要股票市场指数和S&P500指数进行危机传染实证研究,得出次贷危机对不同国家或地区的传染效应有所差别.     

Factors influencing Soay sheep survival

We present a survival analysis of Soay sheep mark recapture and recovery data. Unlike previous conditional analyses, it is not necessary to assume equality of recovery and recapture probabilities; instead these are estimated by maximum likelihood. Male and female sheep are treated separately, with the higher numbers and survival probabilities of the females resulting in a more complex model than that used for the males. In both cases, however, age and time aspects need to be included and there is a strong indication of a reduction in survival for sheep aged 7 years or more. Time variation in survival is related to the size of the population and selected weather variables, by using logistic regression. The size of the population significantly affects the survival probabilities of male and female lambs, and of female sheep aged 7 or more years. March rainfall and a measure of the North Atlantic oscillation are found to influence survival significantly for all age groups considered, for both males and females. Either of these weather variables can be used in a model. Several phenotypic and genotypic individual covariates are also fitted. The only covariate which is found to influence survival significantly is the type of horn of first-year female sheep. There is a substantial variation in the recovery probabilities over time, reflecting in part the increased effort when a population crash was expected. The goodness of fit of the model is checked by using graphical procedures.     

Correlation in a Bayesian framework

The authors consider the correlation between two arbitrary functions of the data and a parameter when the parameter is regarded as a random variable with given prior distribution. They show how to compute such a correlation and use closed form expressions to assess the dependence between parameters and various classical or robust estimators thereof, as well as between p‐values and posterior probabilities of the null hypothesis in the one‐sided testing problem. Other applications involve the Dirichlet process and stationary Gaussian processes. Using this approach, the authors also derive a general nonparametric upper bound on Bayes risks.     

以现代教学论指导普通物理教学

本文针对师范院校非物理专业的“普通物理”教与学的矛盾,以现代教学理论为指导,近年来探索新的教学策略,并致力实施,调动了学习积极性和改进评价,取得了较好效果。     

A multivariate zero-inflated binomial model for the analysis of correlated proportional data

In this paper, a new multivariate zero-inflated binomial (MZIB) distribution is proposed to analyse the correlated proportional data with excessive zeros. The distributional properties of purposed model are studied. The Fisher scoring algorithm and EM algorithm are given for the computation of estimates of parameters in the proposed MZIB model with/without covariates. The score tests and the likelihood ratio tests are derived for assessing both the zero-inflation and the equality of multiple binomial probabilities in correlated proportional data. A limited simulation study is performed to evaluate the performance of derived EM algorithms for the estimation of parameters in the model with/without covariates and to compare the nominal levels and powers of both score tests and likelihood ratio tests. The whitefly data is used to illustrate the proposed methodologies.     

对数正态分布参数的最大似然估计

利用最大似然估计法求出了对数正态分布两个参数的估计量,并讨论了它们的无偏性和相合性。