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321.
Portfolio adjusting optimization with added assets and transaction costs based on credibility measures 总被引:1,自引:0,他引:1
In response to changeful financial markets and investor’s capital, we discuss a portfolio adjusting problem with additional risk assets and a riskless asset based on credibility theory. We propose two credibilistic mean–variance portfolio adjusting models with general fuzzy returns, which take lending, borrowing, transaction cost, additional risk assets and capital into consideration in portfolio adjusting process. We present crisp forms of the models when the returns of risk assets are some deterministic fuzzy variables such as trapezoidal, triangular and interval types. We also employ a quadratic programming solution algorithm for obtaining optimal adjusting strategy. The comparisons of numeral results from different models illustrate the efficiency of the proposed models and the algorithm. 相似文献
322.
In this article, the authors consider the optimal portfolio on tracking the expected wealth process with liquidity constraints. The constrained optimal portfolio is first formulated as minimizing the cumulate variance between the wealth process and the expected wealth process. Then, the dynamic programming methodology is applied to reduce the whole problem to solving the Hamilton-Jacobi-Bellman equation coupled with the liquidity constraint, and the method of Lagrange multiplier is applied to handle the constraint. Finally, a numerical method is proposed to solve the constrained HJB equation and the constrained optimal strategy. Especially, the explicit solution to this optimal problem is derived when there is no liquidity constraint. 相似文献
323.
This paper develops a novel importance sampling algorithm for estimating the probability of large portfolio losses in the conditional independence framework. We apply exponential tilts to (i) the distribution of the natural sufficient statistics of the systematic risk factors and (ii) conditional default probabilities, given the simulated values of the systematic risk factors, and select parameter values by minimizing the Kullback–Leibler divergence of the resulting parametric family from the ideal (zero-variance) importance density. Optimal parameter values are shown to satisfy intuitive moment-matching conditions, and the asymptotic behaviour of large portfolios is used to approximate the requisite moments. In a sense we generalize the algorithm of Glasserman and Li (2005) so that it can be applied in a wider variety of models. We show how to implement our algorithm in the copula model and compare its performance there to the algorithm developed by Chan and Kroese (2010). We find that our algorithm requires substantially less computational time (especially for large portfolios) but is slightly less accurate. Our algorithm can also be used to estimate more general risk measures, such as conditional tail expectations, whereas Chan and Kroese (2010) is specifically designed to estimate loss probabilities. 相似文献
324.
We solve a portfolio selection problem of an investor with a deterministic savings plan who aims to have a target wealth value at retirement. The investor is an expected power utility-maximizer. The target wealth value is the maximum wealth that the investor can have at retirement.By constraining the investor to have no more than the target wealth at retirement, we find that the lower quantiles of the terminal wealth distribution increase, so the risk of poor financial outcomes is reduced. The drawback of the optimal strategy is that the possibility of gains above the target wealth is eliminated. 相似文献
325.
The admissible portfolio selection problem with transaction costs and an improved PSO algorithm 总被引:1,自引:0,他引:1
Wei Chen 《Physica A》2010,389(10):2070-2076
In this paper, we discuss the portfolio selection problem with transaction costs under the assumption that there exist admissible errors on expected returns and risks of assets. We propose a new admissible efficient portfolio selection model and design an improved particle swarm optimization (PSO) algorithm because traditional optimization algorithms fail to work efficiently for our proposed problem. Finally, we offer a numerical example to illustrate the proposed effective approaches and compare the admissible portfolio efficient frontiers under different constraints. 相似文献
326.
证券数减少情形下M—V证券组合特征灵敏度分析 总被引:9,自引:0,他引:9
本文研究当市场不存在无风险收益证券且允许卖空时证券组合特征关于证券数减少的灵敏度分析,给出了有效边缘、渐近线斜率、全局最小方差证券组合及其协方差、最小方差证券组合的投资权数、最小方差证券组合之间结合线等的变化模式,得到了一些有意义的结果.这不仅是对证券组合选择理论的进一步完善,对投资者也具有一定的指导意义 相似文献
327.
Stochastic orders and inequalities are very useful tools in various areas of economics and finance. The purpose of this paper
is to describe main results obtained so far by using the idea of stochastic orders in financial optimization. Especially,
the emphasis is placed on the demand and shift effect problems in portfolio selection. Some other examples, which are not
related directly to optimization problems, are also given to demonstrate the wide spectrum of application areas of stochastic
orders in finance. 相似文献
328.
针对所给出的有交易费的资产过程模型,引入了资产折算函数以刻划套期保值和套利机会,并利用辅助鞅和凸分析的对偶方法,讨论了该模型下基于无套利分析的资产组合优化可达性的一些性质. 相似文献
329.