Authors | Sarah Jomhoori,Majid Rezaei, |
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Journal | Communications in Statistics - Theory and Methods |
Page number | 4918-4935 |
Serial number | 48 |
Volume number | 19 |
IF | 0.311 |
Paper Type | Full Paper |
Published At | 2019 |
Journal Grade | ISI |
Journal Type | Typographic |
Journal Country | Iran, Islamic Republic Of |
Journal Index | JCR،Scopus |
Abstract
In this article, the strong uniform consistency of two nonparametric estimators for the quantile density function is established under length-biased sampling. The rate of the strong approximation of the resulting processes of these estimators will be presented as well. A Monte Carlo simulation study is carried out to compare the proposed estimators with each other in terms of mean squared errors.
tags: Asymptotic properties; convergence rate; gaussian process; length-biased sampling; quantile density function