具有技术指标的逻辑回归模型预测谷歌股票的涨跌趋势

正确预测股价的涨跌趋势会给投资者带来巨大的经济效益.近年来人们提出了时序预测、技术分析、基本分析和机器学习等方法来提高股价趋势的预测精度.文章主要结合技术指标和逻辑回归模型发展提高股价趋势预测精度的有效方法.首先,基于Murphy对金融股市发展的技术分析方法提取一些重要技术指标作为预测变量,构建刻画股价涨跌趋势的逻辑回...     

基于聚类技术的股市基本趋势规律挖掘

提出采用技术指标构造特征空间,在特征空间上用模糊核聚类算法寻找股市规律的股市技术分析方法。对1997年以来的沪深大盘指数进行了实证分析检验,识别出了市场基本趋势的演化规律,显示出该方法具有长期预测市场发展方向的能力。     

基于多分辨率分析的股票市场预测模型研究

采用多分辨率分析技术将深证成指收盘数据序列分解为多个子序列,然后采用神经网络技术对每个子序列分别建立预测模型,将各个预测结果叠加后得到最终预测结果.研究首先发现多分辨率技术可以有效提高预测模型的预测精度,表明分析我国股市波动时应该按照不同因素对股市影响大小及周期的差异分别研究,才能更有效分析股市运行状况及对其预测;其次结果表明不同类型神经网络预测模型预测性能差异明显,在选择股市预测模型的神经网络类型时应该注意其学习算法及收敛过程,以便能更好捕获股市变化规律.     

股市可预测性与技术指标协整性的模型检验

一个有效的股市,其价格应该是随机波动的,反映市场信息的同质等量分布,或者说无人能靠分析过去的信息而赚到钱。但这与“可预测”并无矛盾,因为预测科学本身并不能提供１００％的精度,而且“可预测”和靠预测来赚钱又根本是两回事,股市有效性所遵从的随机游动模型本身就告诉了我们这一点。本文从建立股市自回归预测模型出发,并通过检验股市主要技术指标的协整性来说明这一点,同时指出了各种模型的阶数高与低与股市有效性相对强与弱之间的存在着反向的关系     

引入技术指标的BP网络在股市预测中的应用

本文使用股市分析中常用的一些技术指标构造BP网络的输入样本向量,在此基础上,对沪市股指的涨跌进行了预测.数值实验结果表明,该方法能够提高网络预测的正确率.使用跳跃学习及三种变学习率、批方式的学习算法对BP网络进行了训练,节省了预测时间.运用“在线预测”的方法对预测过程进行了跟踪.针对预测样本在预测性能及预测结果方面存在的差异,引入预测样本中心距离比的概念对其进行简单的划分,得到一些富有启发性的结果.     

基于数据挖掘技术的股票收益率方向研究

本文依据数据挖掘技术对股票收益率的变化方向进行探究。通过小波多尺度分解,将股票价格转化为不同频率域下的子序列数据、并对其中的高频序列进行降噪。构建极度梯度提升树(XGBoost)、以及其它主流机器学习算法,对沪深300和中证500指数中成分股的涨跌进行了拟合并预测。研究发现XGBoost的平均准确率分别达到了54.69%和55.13%,同时依据预测信号构建的投资策略可产生稳定收益,表明该方法具备较强的预测能力。在此基础上,对机器学习算法存在的“黑箱”问题进行了阐述和研究,对模型选股的逻辑进行了探析:提出一种因子权重的度量方法,研究发现市净率、市盈率、能量潮等指标在模型中是较为重要的判别指标,并通过偏相依关系度量了模型中各因子对于股价涨跌方向的边际影响,得到模型倾向于选择市盈率、市净率较小的股票等一些结论,使算法的逻辑更为清楚。     

用自回归模型预测中国股市未来现金股利水平

对中国股市1996年以后所发放的现金股利的分布规律进行了研究,发现中国股市现金股利增量时间序列近似符合平稳过程。在此基础上探讨了利用线性模型技术的自回归(AR)模型对未来股利水平进行预测的一些技术问题,然后运用蒙特卡罗技术对现金股利增量进行了模拟试验,产生了足够多的数据并得出了拟合预报方程。最后对未来四十年中国股市现金股利的发放水平进行了预测。     

非参数方法在我国证券市场收益波动研究中的应用

以上海证券交易所综合指数日收益率数据为样本,讨论了非参数方法在建立股票价格模型中的应用.在此基础上,对股市收益分布进行了研究,并据此对市场走向进行了预测.     

股票价格的马氏链预测模型

本文探讨了马尔科夫链的预测技术,利用马氏链预测方法分析了申华控股(600653)价格的变动情况,对其价格进行短期预测和长期涨跌趋势、运动周期的预测,研究结果与实际情况比较一致。     

基于机器学习的智能TWAP和VWAP算法的研究及应用

TWAP与VWAP算法为两类较常见的经典交易算法.传统的VWAP算法在TWAP算法的基础上,大多使用预测日内成交量分布的方法指导算法下单.传统成交量分布的预测效果严重依赖于市场交易惯性,但交易量分布受到日内诸多突发因素的影响,导致算法对市场突发状况的应对能力较弱.本文对传统TWAP与VWAP算法进行改进,利用滚动的1分钟粒度高频实时资金博弈数据,基于Logistic分类器训练量价模型,以该预测结果为入参构建最优化期望执行均价模型,求出当下各个价格档位对应委托数量的最优解.通过相对高频的分钟级价格预测机制,保证算法实时跟踪市场行情走势并寻求相对优势的交易机会.该算法经测试可以稳定地跑赢市场均价,具备推广应用的可行性.     

On a class of self-similar processes with stationary increments in higher order Wiener chaoses

We study a class of self-similar processes with stationary increments belonging to higher order Wiener chaoses which are similar to Hermite processes. We obtain an almost sure wavelet-like expansion of these processes. This allows us to compute the pointwise and local Hölder regularity of sample paths and to analyse their behaviour at infinity. We also provide some results on the Hausdorff dimension of the range and graphs of multidimensional anisotropic self-similar processes with stationary increments defined by multiple Wiener–Itô integrals.     

A REPRESENTATION FORMULA RELATED TO SCHR(O)DINGER OPERATORS

Schr(o)dinger operator is a central subject in the mathematical study of quantum mechanics.Consider the Schrodinger operator H = -△ V on R, where △ = d2/dx2 and the potential function V is real valued. In Fourier analysis, it is well-known that a square integrable function admits an expansion with exponentials as eigenfunctions of -△. A natural conjecture is that an L2 function admits a similar expansion in terms of "eigenfunctions" of H, a perturbation of the Laplacian (see [7], Ch. Ⅺ and the notes), under certain condition on V.     

On a class of Riemann surfaces

It is considered the class of Riemann surfaces with dimT1 = 0, where T1 is a subclass of exact harmonic forms which is one of the factors in the orthogonal decomposition of the spaceΩH of harmonic forms of the surface, namely The surfaces in the class OHD and the class of planar surfaces satisfy dimT1 = 0. A.Pfluger posed the question whether there might exist other surfaces outside those two classes. Here it is shown that in the case of finite genus g, we should look for a surface S with dimT1 = 0 among the surfaces of the form Sg\K , where Sg is a closed surface of genus g and K a compact set of positive harmonic measure with perfect components and very irregular boundary.     

CONTENTS OF VOLUME 30

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Instructions for contributions

正Applied Mathematics-A Journal of Chinese Universities,Series B(Appl.Math.J.Chinese Univ.,Ser.B)is a comprehensive applied mathematics journal jointly sponsored by Zhejiang University,China Society for Industrial and Applied Mathematics,and Springer-Verlag.It is a quarterly journal with     

Journal of Mathematical Research with Applications Guide for Authors

正Journal overview:Journal of Mathematical Research with Applications(JMRA),formerly Journal of Mathematical Research and Exposition(JMRE)created in 1981,one of the transactions of China Society for Industrial and Applied Mathematics,is a home for original research papers of the highest quality in all areas of mathematics with applications.The target audience comprises:pure and applied mathematicians,graduate students in broad fields of sciences and technology,scientists and engineers interested in mathematics.     

Staircase transportation problems with superadditive rewards and cumulative capacities

A cumulative-capacitated transportation problem is studied. The supply nodes and demand nodes are each chains. Shipments from a supply node to a demand node are possible only if the pair lies in a sublattice, or equivalently, in a staircase disjoint union of rectangles, of the product of the two chains. There are (lattice) superadditive upper bounds on the cumulative flows in all leading subrectangles of each rectangle. It is shown that there is a greatest cumulative flow formed by the natural generalization of the South-West Corner Rule that respects cumulative-flow capacities; it has maximum reward when the rewards are (lattice) superadditive; it is integer if the supplies, demands and capacities are integer; and it can be calculated myopically in linear time. The result is specialized to earlier work of Hoeffding (1940), Fréchet (1951), Lorentz (1953), Hoffman (1963) and Barnes and Hoffman (1985). Applications are given to extreme constrained bivariate distributions, optimal distribution with limited one-way product substitution and, generalizing results of Derman and Klein (1958), optimal sales with age-dependent rewards and capacities.To our friend, Philip Wolfe, with admiration and affection, on the occasion of his 65th birthday.Research was supported respectively by the IBM T.J. Watson and IBM Almaden Research Centers and is a minor revision of the IBM Research Report [6].