The extended Glivenko-Cantelli property for kernel-smoothed estimator of the cumulative distribution function in the length-biased sampling

DOI10.22103/jmmr.2024.22620.1546MaRDI QIDQ6647943

SMA. Jahanshahi, Unnamed Author, R. Zamini

Publication date: 3 December 2024

Published in: Journal of Mahani Mathematical Research Center (Search for Journal in Brave)

zbMATH Keywords

strong consistencyextended Glivenko-Cantelli theoremsmoothed estimator

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05)

Cites Work

• Nonparametric estimation in renewal processes
• Chung--Smirnov property for perturbed empirical distribution functions
• The corpuscle problem. A mathematical study of a biometric problem.
• Relative efficiency and deficiency of kernel type estimators of smooth distribution functions
• Convergence rate of perturbed empirical distribution functions
• Goodness-of-fit test under length-biased sampling
• Some New Estimates for Distribution Functions
• Berry-Esseen bound for smooth estimator of distribution function under length-biased data
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