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We develop a general theory to test correct specification of multiplicative error models of non-negative time-series processes, which include the popular autoregressive conditional duration (ACD) mode...
We develop a nonparametric regression-based goodness-of-fit test for multifactor continuous-time Markov models using the conditional characteristic function, which often has a convenient closed form o...
We introduce a stochastic model to explain a double power-law distribution which exhibits two different Paretian behaviors in the upper and the lower tail and widely exists in social and economic syst...
We formulate an optimal stopping problem where the probability scale is distorted by a general nonlinear function. The problem is inherently time inconsistent due to the Choquet integration involved. ...
Consider the problem of learning the drift coefficient of a stochastic differential equation from a sample path. In this paper, we assume that the drift is parametrized by a high dimensional vector.
The drawdown process $Y=\bar{X} - X$ of a completely asymmetric L\'{e}vy process $X$ is given by $X$ reflected at its running supremum $\bar{X}$.In this paper we explicitly express the law of the sext...
Exponential distribution is ubiquitous in the framework of multi-agent systems. Usually, it appears as an equilibrium state in the asymptotic time evolution of statistical systems. It has been explain...
This chapter is an attempt to present a mathematical theory of compound fractional Poisson processes. The chapter begins with the characterization of a well-known L\'evy process: The compound Poisson ...
This paper analyzes Least Squares Monte Carlo (LSM) algorithm, which is proposed by Longstaff and Schwartz (2001) for pricing American style securities. This algorithm is based on the projection of th...
When the underlying stock price is a strict local martingale process under an equivalent local martingale measure, Black-Scholes PDE associated with an European option may have multiple solutions. In ...
Advanced inference techniques allow one to reconstruct the pattern of interaction from high dimensional data sets. We focus here on the statistical properties of inferred models and argue that inferen...
合理把握企业民营资本参与科技风险投资的动因,对于政府鼓励民营资本参与科技创新活动,解决我国原创性研发资金不足等问题具有积极的意义。文章通过对企业案例的深入剖析,从企业层面总结出企业参与科技风险投资的4 方面动因模型:企业家的冒险和创新精神、塑造企业社会形象、增加企业内在价值、履行企业社会责任;同时指出企业民营资本投入的多少和企业对创新的关注程度是随着内外环境和企业发展的阶段发生变化的。
以宁波慈星股份有限公司并购瑞士事坦格集团为例,对我国民营企业开展国际并购的动机、能力、目标公司选择、公司匹配等四大要素进行了分析,并指出企业进行跨国并购主要是由于市场战略路线、品牌影响力提升、低价资产出现以及法律允许和放松管制等原因促成的;企业进行跨国并购需要具备决策、人力资源和技术等方面的能力;在选择目标公司时要统筹考虑企业的经营范围和战略目标、目标企业发展潜力及协同效应的发挥与客观环境优劣等因...
改革开放以来,我国的城市化进程快速推进,城乡发展日新月异。但是,城乡结构却出现了更加复杂的问题。
在经济拓扑学中,经济均衡状态是静态经济学的平衡稳定态区域,经济过程分析是动态经济学,由定性分析理论讨论了经济学中的稳定性及经济变化曲线.基于东方经济学的生克原理的数学,类比于生态系统进化论数学,探讨了商业和经济的进化论与动力学,定性分析了动态微观经济学中的各种关系和变化模式.最后讨论了中国传统农业和农村中完全的循环经济及公共选择理论.

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