基于Levy-GARCH模型的上证50ETF市场跳跃行为与波动特征研究

上证ETF50期权的发行推动学界开始关注其标的资产的波动特点。本文引入带跳跃的Levy-GARCH非高斯条件异方差模型，结合Fourier数值极大似然估计及回溯测试，对上证50ETF的跳跃和波动特征进行实证分析，并与上证综指、深证成指进行比较。研究结果表明，与国内主要市场指数相比，上证50ETF市场同样存在显著的条件异方差效应和随机跳跃行为，但波动率并不存在显著的杠杆效应。本文通过与多个市场和行业指数进行对照比较，并从行业特征、成份股特征、市场机制特点等角度解释了上证50ETF杠杆效应不显著的原因。     

浅析当代男子优秀三级跳远运动员三跳比例

本文以具有当今世界水平男子优秀三级跳远选手的比赛成绩为依据,运用不同时期三级跳远最佳三跳组合的模式,研究了三级跳远成绩与三跳比例的关系,找出了影响不同类型运动员三级跳远比例及成绩的主要优势因素,论述了三级跳远运动员应有不同的中心训练任务和训练方法。     

HJM框架下服从跳跃扩散过程的利率模型

由于一些不可预测的随机事件的影响,纯粹的连续扩散过程难以正确描述利率变动的行为。因此,在HJM框架下,给出了服从跳跃扩散过程的利率期限结构模型,进而推导出我国固定收益市场的债券定价公式,为投资者进行投资和风险管理提供帮助。     

Learning a multivariate Gaussian mixture model with the reversible jump MCMC algorithm

This paper is a contribution to the methodology of fully Bayesian inference in a multivariate Gaussian mixture model using the reversible jump Markov chain Monte Carlo algorithm. To follow the constraints of preserving the first two moments before and after the split or combine moves, we concentrate on a simplified multivariate Gaussian mixture model, in which the covariance matrices of all components share a common eigenvector matrix. We then propose an approach to the construction of the reversible jump Markov chain Monte Carlo algorithm for this model. Experimental results on several data sets demonstrate the efficacy of our algorithm.     

凸轮轴自动检测仪中凸轮升程误差计算方法的研究

论述了凸轮轴自动检测仪计算机软件系统中的凸轮对称中心线寻优法,各采样点绝对升程值获取法以及利用N次谐波曲线拟合法求取凸轮节点升程误差及误差曲线。     

矩形微通道内滑移区气体流动换热的数值模拟

在等壁温边界条件下对矩形微细通道速度滑移区的对流换热进行了二维数值模拟、在一阶速度滑移和温度跳跃的边界条件下，计算出了通道内的速度和温度以及压力分布。比较了不同克努森数Kn对于滑移速度和跳跃温度的影响。结果表明，由于气体的稀薄性，压力呈现更加线性化减小的趋势，随着Kn的增加，通道入口与出口处的滑移速度和跳跃温度至现增加的趋势。在通道入口附近，气流速度和温度变化剧烈，而在出口处截面平均流速和温度随加的增加而降低．     

Exact and efficient Bayesian inference for multiple changepoint problems

We demonstrate how to perform direct simulation from the posterior distribution of a class of multiple changepoint models where the number of changepoints is unknown. The class of models assumes independence between the posterior distribution of the parameters associated with segments of data between successive changepoints. This approach is based on the use of recursions, and is related to work on product partition models. The computational complexity of the approach is quadratic in the number of observations, but an approximate version, which introduces negligible error, and whose computational cost is roughly linear in the number of observations, is also possible. Our approach can be useful, for example within an MCMC algorithm, even when the independence assumptions do not hold. We demonstrate our approach on coal-mining disaster data and on well-log data. Our method can cope with a range of models, and exact simulation from the posterior distribution is possible in a matter of minutes.     

全球金融危机下的股票市场波动跳跃研究——基于高频数据的中美比较分析

本文以雷曼破产日至2009年1月底这段时期内上证综指、恒生指数以及S&P500指数的日内高频数据作为研究对象,采用跳跃显著性检验方法和扩展HAR模型,对波动跳跃特征进行了实证研究.结果表明:雷曼危机导致股市波动的显著提高,但中国内地股市受到的影响最小;中国香港股市成为波动跳跃发生频率最高、跳跃幅度最大的市场,且波动跳跃主要发生在夜间休市时间内;雷曼危机使得波动率模型的预测精度大大降低,股市风险变得更加难以预测,对于新兴市场来说这一现象更加明显.     

Change points in nonparametric regresion functions

Estimators of location and size of jumps or discontinuities in a regression function and/or its derivatives are proposed. The estimators are based on the analysis of residuals obtained from the locally weighted least squares regression. The proposed estimators adapt to both fixed and random designs. The asymptotic properties of the estimators are investigated. The method is illustrated through simulation studies.     

Fair Valuation of Life Insurance Contracts Under a Two-Sided Jump Diffusion Model

In this article, we study the fair valuation of participating life insurance contract, which is one of the most common life insurance products, under the two-sided jump diffusion model with the consideration of default risk. The participating life insurance contracts considered here can be expressed as portfolios of options as shown by Grosen and Jøgrgensen (1997 Grosen , A. , Jøgrgensen , P. (1997). Valuation of early exercisable interest rate guarantees. J. Risk Ins. 64:481–503.[Crossref], [Web of Science ®] , [Google Scholar]). We can give the Laplace transforms for these options under the two-sided jump diffusion model, and then price these options by inverting Laplace transforms.