调制柯西分布与25MnSi钢含硅量的分布拟合

Modulation cauchy distribution and distribution&fitting of silicon content on 25MnSi steel

为了建立25MnSi钢含硅量的概率分布,在对样本数据的直观分析和数值试验的基础上,对标准柯西分布引进松弛因子f(x)=ax2+b,提出了平方调制柯西分布模型,并对25MnSi钢含硅量数据进行拟合实证。拟合的结果是25MnSi钢含硅量的分布形态为驼峰分布,χ2拟合优度检验的p值为0.169 9。驼峰分布的结果表明,若数据来自同一总体则平方调制柯西分布模型潜在一定的实用价值。

To establish probability distribution of silicon amount on 25 MnSi steel,the paper introduces relaxation factor f（x）= ax2＋b for standard cauchy distribution and proposes square modulate cauchy distribution model on cauchy distribution model has potential practical value if the data come from the same totality.the basis of the analysis of the sample data directly and numerical experiments,futhermore,fitts the empirical data of silicon content on 25MnSi steel.And the result data shows that the distribution pattern is bimodal distribution,and p numerical value of χ2 goodness of fit is 0.1699.The bimodal distribution shows that the square modulate