Generalized Cramér-von Mises tests of goodness of fit for doubly censored data
Generalized Cramér-von Mises tests of goodness of fit for doubly censored data
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双删失数据的广义 Cramér-von Mises 拟合优度检验
DOI：
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发表时间：
1995
影响因子：
1
通讯作者：
Jian
中科院分区：
文献类型：
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作者：
Jian
我们推广cramsamr -von Mises统计量来检验数据经过双重审查的终身分布的拟合优度。我们分别在零假设和备择假设下推导了检验统计量的极限分布。对于具有双截尾数据的生存函数，给出了自洽估计的渐近协方差的一个强相合估计。因此，提出了一种称为Fredholm积分方程法的方法来估计检验统计量的零分布。在本文中，线性算子的摄动理论起了重要作用，并给出了一些数值算例。
We generalize Cramér-von Mises statistics to test the goodness of fit of a lifetime distribution when the data are doubly censored. We derive the limiting distributions of our test statistics under the null hypothesis and the alternative hypothesis, respectively. We also give a strong consistent estimator for the asymptotic covariance of the self-consistent estimator for the survival function with doubly censored data. Thereby, a method, called the Fredholm Integral Equation method, is proposed to estimate the null distribution of test statistics. In this work, the perturbation theory for linear operators plays an important role, and some numerical examples are included.