| 离散点集（地震）空间分布多重分形计算的精度估算 |
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| 引用本文： | 朱令人,龙海英.离散点集（地震）空间分布多重分形计算的精度估算[J].地震,2000,20(3):1-8. |
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| 作者姓名： | 朱令人 龙海英 |
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| 作者单位： | 新疆维吾尔自治区地震局,乌鲁木齐 830011 |
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| 基金项目： | 地震科学联合基金会资助项目!( 92 2 87) |
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| 摘 要： | 地震是一种非线性现象,因而很多人计算地震分布的分形维数,但具体各种计算方法的误差（或精度）是多少,还没有定量的估计。鉴于地震空间分布具有有限、离散、点集的特点,用双标度Contor 多分形集理论模型数值模拟来估算其精度（误差）,并判定各种方法的优劣。理论模型数值模拟得出如下结论:① 随着样本容量的增大,计算精度会提高;② 固定半径法（RAD） 计算误差偏大,固定质量法（MAS）和最小生成树法（MST）较好;③ 当样本容量达到约200时,MAS法和MST 法计算误差大体可稳定在0.05的范围内。
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| 关 键 词： | 多重分形 精度 理论模型 样本容量 |
| 收稿时间： | 1999-12-06 |
| 修稿时间： | 2000-01-12 |
Precision estimate on multi-fractal calculation of spatial distribution for earthquake dispersion and point sets |
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| ZHU Ling-ren,LONG Hai-ying.Precision estimate on multi-fractal calculation of spatial distribution for earthquake dispersion and point sets[J].Earthquake,2000,20(3):1-8. |
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| Authors: | ZHU Ling-ren LONG Hai-ying |
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| Institution: | Seismological Bureau of Xinjiang Uigur Autonomous Region, Urumchi 830011, China |
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| Abstract: | Earthquake is a non-line phenomenon, so many seismologists calculate the fractal dimension of seismic distribution. However, the precision of calculation method is uncertain. Because the space-time distribution of earthquakes is characteristics of limitation, dispersion and point sets, we use the digital simulation of theory models of two-dimension double-rule Contor sets to estimate its precision （or error）,and to judge some methods good or not. From the theory models simulated digitally,we obtained some results.① As the samples increasing, the precision of several methods is increasing.② The error of the fixed radius method （RAD） is too big,while ones of the fixed mass method （MAS） and the minimal spanning tree method （MST） is smaller.③ When the numbers of samples are more than 200,the calculation precision of MAS and MST is around 0.05. |
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| Keywords: | Multi fractal Precision Theory model Numbers of samples |
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