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稳定分布及其在金融中的应用 被引量:13

Stable Distribution and its Application in Finance
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摘要 本文较为详细地介绍了稳定分布的一些基本性质,并通过股票指数收益率的稳定化PP图和直方图发现其具有高峰厚尾特征.统计分析表明。用稳定分布去刻画收益率分布的比其它分布更加有效.最后介绍了稳定分布在金融风险度量应用中的有效性. This paper introduces the some basic properties of Stable distributions. It is found from histograms and stablized PP plots of some stock-index return data that theirs distributions have a high-Kurtosis and fat-tail characteristic. It is shown from empirical study that stable distributions show more efficiency than others distribution for the return series. Finally, an application is carried out showing the efficiency of stable distributions in risk valuation of finance.
作者 武东 汤银才
出处 《应用概率统计》 CSCD 北大核心 2007年第4期434-445,共12页 Chinese Journal of Applied Probability and Statistics
基金 国家自然科学(10571057).
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参考文献20

  • 1Adler, R.J., Feldman, R.E. and Taqqu, M.S., A Practical Guide to Heavy Tails: Statistical Techniques for Analyzing Heavy Tailed Distributions, Birkhauser, Boston, 1998.
  • 2Buckle, D.J., Bayesian inference for stable distributions, Journal of the American Statistical Association, 90(1995), 605-613.
  • 3Chambers, J.M., Mallows, C.L. and Stuck, B.W., A method for simulating stable random variables, Journal of the American Statistical Association, 70(1976), 340-344.
  • 4DuMouchel, W.H., Stable distribution in statistical inference: 1. Symmetric stable distributions compared to other symmetric long-tailed distributions, Journal of the American Statistical Association, 70(1973), 469-477.
  • 5DuMouchel, W.H., Stable distribution in statistical inference: 2. Information from stably distributed samples, Journal of the American Statistical Association, 70(1975), 386-390.
  • 6Fama, E.F. and Mandelbrot, B., The stable Paretion distribution, Journal of Business, 36(1963), 420-429.
  • 7Fama, E.F., The behavior of stock market prices, Journal of Business, 36(1965), 34-105.
  • 8Fama, E.F. and Roll, R., Some properties of symmetric stable distributions, Journal of the American Statistical Association, 66(1968), 331-338.
  • 9Jorison, P., Value at Risk: The New Benchmark for Controlling Market Risk, McGraw-Hill Companies, 1997.
  • 10Koutrouvelis, I.A., Regression-type estimation of the parameters of stable laws, Journal of the American Statistical Association, 75(1980), 918-928.

二级参考文献3

  • 1John R.Michael.The Stablized Probability Plot, Biometrika Vol70(1)(1983),PP11-17.
  • 2Tang Yincai. Approximated Parameter Estimation of Three-parameter Log-normal Distributions Based on Generalized Least Squares Method[J]. Journal of Shanghai Teachers' University 4(2001).
  • 3汤银才.三参数Weibull分布的渐近广义最小二乘估计[J].应用概率统计,1999,15(2):187-192. 被引量:4

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