摘要
目前,对实际数据的处理常采用一些对称分布,如正态分布和t分布等,而这种对称分布所给出的结果往往并不能令人满意。偏分布常用来处理有偏重尾数据,基于传统正态分布,提出一种处理偏态和重尾数据的alpha正态分布,并研究其参数估计方法及基本性质。将所提分布应用于环境污染数据,通过拟合检验alpha正态分布给出了很好的结果。
In the present,some symmetric distributions are often used to deal with real data,such as normal and t distribution.However,the results given by these symmetric distributions are not very satisfactory.Skew distributions are commonly used to handle with skew and heavy-tailed data,based on the classical normal distribution,we propose a new model,called alpha normal distribution,to deal with such data,develop its parametric estimation methods and several basic properties.Applying the proposed distribution to environmental pollution data,through the test shows that the alpha normal distribution gives good results.
出处
《统计与信息论坛》
CSSCI
北大核心
2016年第6期22-27,共6页
Journal of Statistics and Information
基金
国家自然科学基金项目<基于信息瓶颈编码原理的深度学习研究>(11501049)
国家自然科学基金项目<模糊假设的统计检验理论和方法研究>(11261044)
关键词
偏正态分布
alpha正态分布
MLE估计
环境污染
skew distribution
alpha normal distribution
maximum likelihood estimation
environmental pollution
