Weak and strong quantile representations for randomly truncated data with applications
Date
1993-05-26
Authors
Gürler, Ü.
Stute, W.
Wang, J. L.
Editor(s)
Advisor
Supervisor
Co-Advisor
Co-Supervisor
Instructor
Source Title
Statistics and Probability Letters
Print ISSN
0167-7152
Electronic ISSN
Publisher
Elsevier
Volume
17
Issue
2
Pages
139 - 148
Language
English
Type
Journal Title
Journal ISSN
Volume Title
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Abstract
Suppose that we observe bivariate data (X,. q) only when Y, < Xi (left truncation). Denote with F the marginal d.f. of the X’s In this paper we derive a Bahadur-type representation for the quantile function of the pertaining product-limit estimator of F. As an application we obtain confidence intervals and bands for quantiles of F.