| 基于高阶概率权重矩的广义极值分布参数估计 |
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| 引用本文： | 肖玲,宋松柏.基于高阶概率权重矩的广义极值分布参数估计[J].水文,2013,33(6):1-5. |
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| 作者姓名： | 肖玲 宋松柏 |
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| 作者单位： | 西北农林科技大学水利与建筑工程学院 |
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| 基金项目： | 国家自然科学基金项目(51179160,50879070,50579065)；高等学校博士学科点专项科研基金(20110204110017)； |
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| 摘 要： | 研究基于高阶概率权重矩的广义极值分布参数估计。根据高阶概率权重矩法原理,建立了广义极值分布高阶概率权重矩估算参数模型。以陕北地区4个水文测站的年最大洪峰流量序列为例,结果表明:高阶概率权重矩法能赋予大洪水值更多的权重。蒙特卡洛试验表明:适当提高阶数可以减小误差,但阶数过高反而会增大误差。
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| 关 键 词： | 高阶概率权重矩 广义极值分布 参数估计 蒙特卡洛试验 |
| 收稿时间： | 2012/7/30 0:00:00 |
Parameter Estimation of Generalized Extreme Value Distribution Based on Higher Probability Weighted Moments |
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| XIAO Ling,SONG Songbai.Parameter Estimation of Generalized Extreme Value Distribution Based on Higher Probability Weighted Moments[J].Hydrology,2013,33(6):1-5. |
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| Authors: | XIAO Ling SONG Songbai |
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| Institution: | College of Water Resources and Architectural Engineering, Northwest A & F University, Yangling 712100, China |
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| Abstract: | This paper made research on parameter estimation of generalized extreme value distribution based on higher probability weighted moments. The model of higher probability weighted moments for estimating parameters of generalized extreme value distribution was established by the principle of higher probability weighted moments. The results of examples of annual maximum flow series in four stations indicate that the higher PWMs gives more weight to large flood values. The Monte Carlo experiments indicate that it is useful to raise the order appropriately. |
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| Keywords: | higher probability weighted moments generalized extreme value distribution parameter estimation Monte Carlo experiment |
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