Weak and strong quantile representations for randomly truncated data with applications, (Q1802438)
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scientific article; zbMATH DE number 203393
| Language | Label | Description | Also known as |
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| English | Weak and strong quantile representations for randomly truncated data with applications, |
scientific article; zbMATH DE number 203393 |
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Weak and strong quantile representations for randomly truncated data with applications, (English)
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25 October 1994
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Suppose that we observe bivariate data \((X_ i,Y_ i)\) only when \(Y_ i \leq X_ i\) (left truncation) and denote by \(F\) the marginal d.f. of the \(X\). The authors derive a Bahadur-type representation for the quantile function of the pertaining product-limit estimator of \(F\). As an application they obtain confidence intervals and bands for quantiles of \(F\).
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left truncation
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confidence bands
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survival function
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bivariate data
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Bahadur-type representation
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quantile function
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product-limit estimator
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confidence intervals
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quantiles
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