Conditional Studentized survival tests for randomly censored models (Q2739865)
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scientific article; zbMATH DE number 1646332
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Conditional Studentized survival tests for randomly censored models |
scientific article; zbMATH DE number 1646332 |
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16 September 2001
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permutation statistics
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central limit theorem
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conditional tests
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survival analysis
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two-sample test
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Conditional Studentized survival tests for randomly censored models (English)
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The authors consider a two-sample problem for randomly right censored independent survival times. The \(H_0\) hypothesis is that these times are identically distributed in both samples. The test is based on the Studentized survival statistic. The authors derive a conditional central limit theorem (for fixed censoring status variables). The results are applied to the evaluation of the asymptotic test size. The derived asymptotics work even in the unbalanced sample size case when \(\min(n_1,n_2)\to\infty\), but not \(n_1/n_2\to\gamma\in(0,1)\) (\(n_i\) being the sizes of samples).
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