Evidence of Nonlinearity in Daily Stock Returns
日度股票收益非线性的证据AI 解读 ↓
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AI 根据所提供的论文材料归类:摘要直接研究股票收益时间序列的双谱与非线性检验,未评估收益预测、波动率或资产定价模型。
日度股票收益非线性的证据AI 解读 ↓
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This article applies a newly developed statistical technique to time series of daily rates of return of 15 common stocks. The technique involves estimating the bispectrum of the observed time series. The bispectrum is defined as the double Fourier transform of the third-order cumulant function. If the process generating rates of return is linear with independent innovations, then the skewness of the bispectrum will be constant. The article describes a test that can detect nonconstant skewness in the bispectrum. Hence if the test rejects constant skewness, a nonlinear process is implied. As a consequence, the test can distinguish between white noise and purely random noise. The results suggest that daily stock returns are generated by a nonlinear process.