摘要
应用统计试验对P- 型分布的几种参数估计方法的无偏性和稳健性做了分析比较研究,包括矩法、概率权重矩法、数值积分单权函数法、数值积分双权函数法、混合权函数法和线性矩法。结果表明数值积分单、双权函数法的无偏性较好,线性矩法次之;线性矩法的稳健性最好,混合权函数法次之,矩法最差。
The statistical experiment was applied to compare six different parameter estimation methods for Pearson type Ⅲ distribution, including conventional moment (MOM),probability weighted moment (PWM),numerical integral with singleweighted function (NISWF),numerical integral with doubleweighted function (NIDWF),mixed weighted function moment (MWFM) and Lmoment (LM). The statistic test based on unbiasness and robustness properties was designed and performed. Experimental results show that NIDWF and NISWF are the best for unbiasness,while LM is better than the others;for the robustness,LM is the best and MOM is the worst method, while MWFM is superior to other methods.
出处
《水电能源科学》
2003年第3期10-13,共4页
Water Resources and Power
基金
水利部重大科技项目。
