张方仁, 易法楷. 残差V和ι变量的概率分布及其应用[J]. 武汉大学学报 ( 信息科学版), 1985, 10(1): 92-109.
引用本文: 张方仁, 易法楷. 残差V和ι变量的概率分布及其应用[J]. 武汉大学学报 ( 信息科学版), 1985, 10(1): 92-109.
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Zhang Fangren, Yi Fakai. The Probability Distributions o}f Residuals and the τ Variate and their Applications[J]. Geomatics and Information Science of Wuhan University, 1985, 10(1): 92-109.
Citation: Zhang Fangren, Yi Fakai. The Probability Distributions o}f Residuals and the τ Variate and their Applications[J]. Geomatics and Information Science of Wuhan University, 1985, 10(1): 92-109.
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残差V和ι变量的概率分布及其应用

The Probability Distributions of Residuals and the τ Variate and their Applications

    摘要
  • 摘要: 本文研究了τ变量的概率分布,它的极限分布及其主要的数字特征等有关问题,较详细地推导了它的分布密度等有关计算公式,证明了τ变量以正态变量为极限分布,并计算了τ变量的分布函数值。在上述理论推证和数值计算的基础上,讨论了τ变量在粗差剔除和曲线拟合检验中的应用。

     

    Abstract: The probability distribution of the τ variable,the distribution of its limit and the principal numerical characteristics are firstly studied.The method and formulars for calculating the distribution density of the probability of the variable are derived.The distribution of limit of τ variable,being considered as normal-variable,is proved and its-functional value has been calculated.Base on the above theoretical derivation and numerical calculation,the application of the τ variable for the statistical test on outliers and curve fitting are discussed.

     

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