证券回报序列的统计分析

Study on the Statistical Distribution of Returns Series

  • 摘要: 稳定分布已被广泛应用于金融研究中.本文采用基于稳定分布特征函数的参数估计方法来对上海交易所的综合股指的分布作了拟合研究,并给出了一些相应的计算技巧.研究表明稳定分布能反映金融数据的尖峰厚尾性,而它又具有正态分布的良好统计性质,可以很好地描述金融市场的实际行为,是很适合运用到一些要求有精确分布的分析技术上去,如风险监管技术、投资组合理论等.

     

    Abstract: Stable distribution is far-ranging employed in finance. In this paper, we applied the way of characteristic function in the stable distribution to fit the Shanghai Stocks Exchange Composite index, and some skills were provided. It turned out that, stable distribution was very well in fitting the empirical distribution, which displays the peaks higher and the tails heavier. And it possesses the additives property of normal distribution. So stable can plot the real action of financial remarket, it is well applied to ask accurate distribution such as the technology of risk management, the theory of portfolio investment.

     

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