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时间序列非平稳检测方法的对比分析 被引量:11

Comparative Analysis of Detection Methods of Non-stationarity in Time Series
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摘要 对比分析了检测时间序列是否平稳的两种方法:一种是基于简单的统计方法检测时间序列非平稳性的run-test(简称RT)方法(考虑了3种典型方法:均值RT、方差RT和标准差RT),另一种是利用动力非平稳检测的图示方法(space time-index,STI)。通过分析人工生成的已知平稳性的时间序列和实际湍流时间序列,对比了两种方法在时间序列非平稳检测上各自的优劣:RT方法简单、高效,但精确度低;STI方法精确度高,但复杂、低效。同时,分析了3种不同的RT方法对不同类型时间序列的平稳性检测能力,表明方差RT方法最适用于湍流时间序列非平稳性检测。 Two methods are applied to detect non-stationarity in time series. One is the run-test (RT) method, which depends on statistic theory; the other is a graphical method called space time-index (STI), which is a dynamical method. Three different RT methods and STI method are given t'o detect the non-stationarity in artificial time series with known non-stationarity and experimental turbulence time series measured in atmospheric boundary layer. The results show that the RT method which has lower accuracy is simpler and more efficient than STI. Besides comparing the merits of the STI and RT methods, the results also show that the variance RT method is the most effective to detect the non-stationarity in experimental turbulence time series among the three ones of RT methods.
出处 《北京大学学报(自然科学版)》 EI CAS CSCD 北大核心 2013年第2期252-260,共9页 Acta Scientiarum Naturalium Universitatis Pekinensis
基金 国家自然科学基金(40975027)资助
关键词 时间序列 非平稳检测 RT方法 STI方法 time series detection of non-stationarity run-test (RT method) space time-index (STI method)
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参考文献14

  • 1李敏,蒋维楣,李昕,浦一芬.大气边界层湍流的动力非平稳性的验证[J].地球物理学报,2005,48(3):493-500. 被引量:11
  • 2Kavasseri R G, Nagarajan R. Evidence of crossover phenomena in wind speed data. IEEE Transactions on Circuits and Systems, 2004, 51(11): 2255-2262.
  • 3Kavasseri R G, Nagarajan R. A multifractal description of wind speed records. Chaos, Solitons & Fractals, 2005, 24:165-173.
  • 4Cullen N J, Steffen K, Blanken P D. Nonstationarity of turbulence heat fluxes at Summit, Greenland. Boundary-Layer Meteorology, 2007, 122:439-455.
  • 5高志球,王介民.HEIFE绿洲和沙漠地区大气边界层湍流混沌特性研究[J].高原气象,1998,17(4):397-402. 被引量:9
  • 6Griffith J S, Horn G. An analysis of spontaneous impulse activity of units in the striate cortex of unrestrained cats. J Physiol, 1966, 186(3): 616-634.
  • 7Kennel M B. Statistical test for dynamical Nonstation-arity in observed time-series data. Phy Rev E, 1997, 56(1): 316-321.
  • 8Yu D J, Lu W P, Harrison R G. Detecting dynamical nonstationarity in time series data. Chaos, 1999, 9(4): 865-870.
  • 9Yu D J, Lu W P, Harrison R G. Space time-index plots for probing dynamical nonstationarity. Phys Lett A, 1998, 250:323-327.
  • 10Press W H, Teukolsky S A, Vetterling W T, et al. Numerical recipes in Fortran. 2nd ed. Cambridge: Cambridge University Press, 1994.

二级参考文献15

  • 1刘式达(译),混沌的本质,1997年
  • 2林振山,非线性力学与大气科学,1993年
  • 3严绍瑾,混沌理论与大气科学,1993年
  • 4Huang N E, Shen Z, Long S R, et al. The empirical mode decomposition and the Hilbert spectrum for nonlinear and nonstationary time series analysis. Proceeding of the Royal Society of London Series A, 1998, 454:903 - 995
  • 5Jaramillo G P, Puente C E. Strange attractors in atmosphere boundary-layer turbulence. Boundary-Layer Meteorol., 1993, 64:175 - 197
  • 6Li X, Hu F, Liu G. Characteristics of chaotic attractors in atmospheric boundary-layer turbulence. Boundary-Layer Meteorol., 2001, 99:335 - 345
  • 7Gallego M C, Garcia J A, Cancillo M L. Characterization of atmospheric turbulence by dynamical systems techniques. BoundaryLayer Meteorol., 2001, 100:375 - 392
  • 8Yu D J, Lu W P, Harrison R G. Space time-index plots for probing dynamical nonstationarity. Phys. Lett. A., 1998, 250: 323 - 327
  • 9Yu D J, Lu W P, Harrison R G. Detecting dynamical nonstationarity in time series data. Chaos, 1999, 9:865 - 870
  • 10Lorenz E N. Deterministic nonperiodic flow. J. Atmos. Sci.,1963, 20: 130- 141

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