摘要
在洪水频率分布参数估计中,根据部分概率权重矩(PPWM)和无限区间积分原理,推导了PPWM的皮尔逊三型分布(P-Ⅲ)参数估计公式,并用Monte Carlo试验验证了估计量的统计特性。以陕北地区枣园、吴旗、黄陵3个水文站的年最大洪峰流量系列为例,建立了PPWM的P-Ⅲ分布。结果表明,低删失样本的PPWM在高分位数估计方面有效性良好,适用于洪水频率分布参数估计。
The parameter estimation formula of Pearson Ⅲ（ P - Ⅲ） distribution is derived according to PPWM （ Partial Probability Weighted Moments） and infinite interval integral principle, and the statistical properties of estimated parameters were verified by Monte Carlo test. The P -Ⅲ distribution of PPWM is established by using annual maximum flood peak series of Zaoyuan, Wuqi and Huangling Hydrological Stations . The results indicate that the method of PPWM from lower bound censored samples is still effective in high qnantiles estimation, which is feasible for the estimation of flood frequency distribution parameters.
出处
《人民长江》
北大核心
2015年第13期25-28,50,共5页
Yangtze River
关键词
部分概率权重矩
P-Ⅲ分布
MONTE
Carlo试验
参数估计
partial probability weighted moments
Pearson Ⅲ distribution
Monte Carlo experiments
parameter estimation
