The strong representation for the nonparametric estimator of length-biased and right-censored data

Jianhua Shi, Xiaoping Chen and Yong Zhou

Statistics & Probability Letters, 2015, vol. 104, issue C, 49-57

Abstract: In this paper, we consider the modified product-limit estimator of an unknown distribution function proposed by Huang and Qin (2011), where the observations are subject to length-biased and right-censored data. A strong representation for the modified product-limit estimator is established with a remainder O(n−3/4(logn)3/4) a.s. Such results are very useful when we consider statistics that are the function of the estimator of nonparametric distribution function. Also, a uniform consistency rate of the estimator is given.

Keywords: Truncated data; Strong representation; Length-biased; Right-censored (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (2)

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DOI: 10.1016/j.spl.2015.04.029

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