Alpha 正态分布及其在环境污染中的应用

摘要

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.%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。