Nonparametric estimators for quantile density function under length-biased sampling

Mahboubeh Akbari, Majid Rezaei, Sarah Jomhoori and Vahid Fakoor

Communications in Statistics - Theory and Methods, 2019, vol. 48, issue 19, 4918-4935

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.

Date: 2019
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DOI: 10.1080/03610926.2018.1549245

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