| 随机序列轮长与轮次的统计规律 |
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| 引用本文： | 马秀峰.随机序列轮长与轮次的统计规律[J].水科学进展,1994,5(2):95-103. |
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| 作者姓名： | 马秀峰 |
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| 作者单位： | 郑州水利部黄河水利委员会水文局 郑州450004 |
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| 摘 要： | 平稳随机序列的轮次,服从二阶线性齐次差分方程。其中,独立序列的差分方程以状态发生的平均概率为二重特征根,并能用先验条件确定差分方程通解中的常数。非独立序列的差分方程有二个相异的特征根,需根据样本资料来确定差分方程通解中的常数。经用干旱序列及实测水文序列检验,证实了方法的适用性。
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| 关 键 词： | 随机序列 轮长 轮次 统计分析 |
| 收稿时间： | 1993-02-03 |
Run and Run-Length Characteristics of Stochastic Sequences |
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| Ma Xiufeng.Run and Run-Length Characteristics of Stochastic Sequences[J].Advances in Water Science,1994,5(2):95-103. |
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| Authors: | Ma Xiufeng |
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| Affiliation: | Hydrology Bureau of rellow River Conservancg Commission, Zhengzhou 450004 |
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| Abstract: | Runs of a stationary stochastic sequence follow a second-order homogeneous linear difference equation, in which, the difference equation of an independent series possesses a two fold characteristic root in terms of state generation average probabilities. The constants in the general solution can be determined by using a prior condition. Likewise, the difference equation of a dependent series has two distinct characteristic roots and the constants need to be derived from sampling data. The applicability of this method has been verified by using the drought series and the hygologic series. |
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| Keywords: | stochastic sequence run ruu-length statistical analysis |
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