集成随机森林和支持向量机的商业银行财务困境预测研究

提出了一种基于随机森林和支持向量机的集成模型来预测商业银行财务困境.结果表明,一方面,与多层感知神经网络相比,支持向量机可以更有效地作为集成学习模型的基分类器,虽然多层感知器神经网络在以往的研究中更多地被用于基分类器.另一方面,与现有的bagging、dagging、multiboost、adaboosting、random subspace等集成学习算法相比,该模型的预测性能明显提高.另一个关键发现是,利用银行业、宏观经济状况和国际金融风险变量补充银行层面的脆弱性,可以显著提高模型在商业银行财务困境预测中的表现.     

基于Cox模型研究财务困境的行业差异性

公司所属行业是陷入财务困境的一个重要的影响因素,本文主要运用Cox模型衡量不同行业的财务困境风险关系。我们以我国A股制造业上市公司为研究对象,选取制造业中样本量最大的两个次级行业:机械、设备、仪表行业以及石油、化学、塑料行业,以"月"作为生存时间基本单位,选取8个财务指标和一个行业虚拟变量进行实证研究。实证结果表明机械、设备、仪表行业陷入财务困境的风险为石油、化学、塑料行业的0.469倍,并且显著影响这两个行业的公司陷入财务困境的财务指标也不相同,表明研究财务困境考虑行业的重要性;稳健性检验表明这些结论具有可靠性。     

考虑保守卖空与财务困境的背景风险投资组合模型

如何合理地考虑投资者所面临的背景风险及现实市场限制来进行有效地投资决策是人们所广泛关注的重要实际管理决策问题。本文研究投资者同时面临加性和乘性两类背景风险的前提下具有保守卖空与财务困境的投资组合选择问题。假定投资者寻求使得投资收益最大、投资风险最小及证券主体财务困境最小的最优投资组合策略,进而提出考虑保守卖空与财务困境的背景风险投资组合模型。然后,利用具有精英策略的非支配排序遗传算法对模型进行求解。最后,通过实例来阐述模型的实用性。研究结果表明：考虑保守卖空能为投资者提供更大的收益;两类背景风险的变化均导致有效前沿面的变化。     

基于Lasso+SVM的制造业上市公司财务风险组合预警模型

根据组合预测思想构建了基于Lasso+SVM的制造业上市公司财务风险组合预警模型,包括串联型组合和信息融合型组合两种,并选取22个财务指标建立了财务预警指标体系,对我国86家制造业上市公司的财务状况进行了预测,还与单一风险预警模型预测效果进行了比较,结果发现:财务风险组合预警模型的预测效果明显高于单一预警模型,用第t-1年的财务数据进行预测的准确率达到了95%以上;串联型组合预警模型的预测效果最优,用第t-1和t-2年的财务数据进行预测的准确率分别达到了100%和90%.     

基于文本信息的上市中小企业财务困境预测研究

本文通过网络爬虫获取上市中小企业相关的文本信息,包括以年报为代表的信息披露报告和互联网新闻媒体报道的文本内容,采用词袋方法基于不同特征词词表对这些文本内容进行了量化分析,并以财务变量模型为基础对文本信息量化指标在财务困境预测中的作用进行了实证检验,结果表明由信息披露报告构建的管理层语调变量以及由新闻媒体报道构建的报道倾向变量、负面报道比例变量确实可以提高财务困境模型的拟合度和预测能力,而且在对不同类型文本信息的分析应有不同的侧重点。尽管本文针对的是上市中小企业,但并未考虑市场交易信息,因而可以推广到未上市交易的中小企业。     

基于邻域粗糙集属性约简的对偶约束式LS-SVM财务困境预测模型研究

为了提高财务困境预测的正确率,改善模型预测的效果,将邻域粗糙集和遗传算法应用于对偶约束式最小二乘支持向量机,提出了一种基于邻域粗糙集属性约简的对偶约束式最小二乘支持向量机预测模型.同时,给出了这一改进模型的实现步骤.实证结果表明,通过邻域粗糙集指标预处理和遗传算法参数优化后,不但提高了模型预测的正确率,还降低了模型运行的时间,证实了该模型应用于财务困境预测是有效的.     

基于价格持续时间的中国股市日内风险价值预测

基于高频数据度量日内交易活动的风险是目前日内金融数据与风险管理中极具挑战性的研究课题之一。本文从实时交易的角度,使用中国股市分笔交易数据,基于价格持续时间的自回归条件持续时间(ACD)模型,研究日内不规则交易数据的风险测度,利用日内不等间隔波动模型估计了日内交易的即时条件波动率,对日内不等间隔风险价值进行了预测和检验。实证结果发现日内不等间隔风险价值模型能够比较好的刻画日内交易风险,股票投资者和市场监管者可以基于该工具对日内风险做出合理的预测,达到止损避险和控制风险的目的。     

家电行业并购的财务风险预警研究

通过对家电行业的特点及其并购过程中财务风险的分析,建立了家电行业并购的财务风险评价指标体系,运用层次分析法确定各指标权重,给出了我国家电行业并购财务风险预警的模糊综合评价模型,并通过四川长虹与美菱电器的并购案例进行了实证分析,对并购活动中财务风险防范与控制方面存在的问题进行了分析,明确了财务风险防范与控制的重点.     

高频视角下中国股市动态VaR预测模型研究

如何充分挖掘交易数据中有价值的信息对金融风险管理极其重要,现有研究中基于低频波动模型的风险测度方法几乎已经做到了极致,而能达到的预测效果却并不稳健,对高频波动模型的研究相对比较匮乏。那么高频模型能否从高频数据中挖掘出更有价值的信息以便用于风险管理之中呢？本研究通过建立12个低频和9个高频波动模型对上证综指进行样本外动态VaR的滚动预测发现,高频模型相对于低频模型具有更好的稳定性,并且在多数情况下高频模型优于低频模型;多头与空头的风险预测效果具有显著差异,多头风险在高风险情况下高频模型表现出色,低风险情况下并不理想,空头风险则在所有情况下都表现较好。     

SolvencyⅡ框架下非寿险一年期准备金风险的度量

在欧盟以风险为核心的Solvency II监管框架下,非寿险准备金传统评估问题正向准备金风险管理新问题转化,准备金风险的识别、度量与控制已成为非寿险精算理论和实务重点关注的前沿问题。本文系统讨论非寿险一年期准备金风险的概念及其度量模型与方法。首先,通过实例直观阐述一年期准备金风险与索赔进展结果(CDR)的内涵;其次,基于贝叶斯对数正态模型,利用MCMC方法和R软件,随机模拟CDR的预测分布,并用CDR预测分布的统计特征来度量非寿险一年期准备金风险;最后,将欧洲保险公司实际索赔数据代入以上模型和步骤进行实证分析。研究表明,基于MCMC随机模拟方法获得的CDR预测分布,能够更加稳健和有效地度量非寿险一年期准备金风险。     

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.     

Qualitative Analysis of Bifurcating Solutions in the Lengyel-Epstein Model

One of the most fundamental problems in theoretical biology is to explain the mechanisms by which patterns and forms are created in the＇living world. In his seminal paper ＂The Chemical Basis of Morphogenesis＂, Turing showed that a system of coupled reaction-diffusion equations can be used to describe patterns and forms in biological systems. However, the first experimental evidence to the Turing patterns was observed by De Kepper and her associates（1990） on the CIMA reaction in an open unstirred reactor, almost 40 years after Turing＇s prediction. Lengyel and Epstein characterized this famous experiment using a system of reaction-diffusion equations. The Lengyel-Epstein model is in the form as follows     

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.     

(0,1 ;0)-INTERPOLATION ON INFINITE INTERVAL (-∞, +∞)

In this paper, we study the explicit representation and convergence of (0, 1; 0)-interpolation on infinite interval, which means to determine a polynomial of degree ≤ 3n - 2 when the function values are prescribed at two set of points namely the zeros of Hn(x) and H′n(x) and the first derivatives at the zeros of H′n(x).     

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].