Some Asymptotic Results of Kernel Density Estimator in Length-Biased Sampling

In this paper, we prove the strong uniform consistency and asymptotic normality of the kernel density estimator proposed by Jones [12] for length-biased data.The approach is based on the invariance principle for the empirical processes proved by Horváth [10]. All simulations are drawn for different...

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Bibliographic Details
Main Authors: M. Ajami, V. Fakoor, S. Jomhoori
Format: Article
Language:English
Published: University of Tehran 2013-03-01
Series:Journal of Sciences, Islamic Republic of Iran
Subjects:
Online Access:https://jsciences.ut.ac.ir/article_31923_6ffab824d9a053a13108a5d09cad8ebb.pdf
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