Weak and strong quantile representations for randomly truncated data with applications,
type: Item
instance of: scholarly article
title: Weak and strong quantile representations for randomly truncated data with applications,
zbMATH Open document ID: 0797.62039
DOI: 10.1016/0167-7152(93)90008-7
author: Ülkü Gürler
author: Winfried Stute
author: Jane-Ling Wang
published in: Statistics \& Probability Letters
publication date: 1994-10-25T00:00:00Z
review text: 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 \(F\).
Mathematics Subject Classification ID: 62G15
Mathematics Subject Classification ID: 62G20
Mathematics Subject Classification ID: 62G05
Mathematics Subject Classification ID: 62G30
zbMATH DE Number: 203393
zbMATH Keywords: left truncation
zbMATH Keywords: confidence bands
zbMATH Keywords: survival function
zbMATH Keywords: bivariate data
zbMATH Keywords: Bahadur-type representation
zbMATH Keywords: quantile function
zbMATH Keywords: product-limit estimator
zbMATH Keywords: confidence intervals
zbMATH Keywords: quantiles
reviewed by: Antónia Földes
MaRDI profile type: Publication
full work available at URL: 0167-7152(93)90008-7
OpenAlex ID: W1992663180
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description: scientific article; zbMATH DE number 203393