Kernel based estimation of the distribution function for length biased data

DOI10.1007/S00184-021-00824-3OpenAlexW4205593632MaRDI QIDQ2121422

Santanu Dutta, Arup Bose

Publication date: 4 April 2022

Published in: Metrika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00184-021-00824-3

zbMATH Keywords

length biased dataoptimal bandwidth selectionkernel distribution function estimation

Mathematics Subject Classification ID

Statistics (62-XX)

Uses Software

• kerdiest
• book2.r

Cites Work

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• Large sample theory of empirical distributions in biased sampling models
• Nonparametric estimation in the presence of length bias
• Nonparametric estimation in renewal processes
• Biased sampling, over-identified parameter problems and beyond
• Bandwidth selection for kernel distribution function estimation
• Nonparametric estimation for length-biased and right-censored data
• Relative efficiency and deficiency of kernel type estimators of smooth distribution functions
• Approximation Theorems of Mathematical Statistics
• Kernel estimation of multivariate cumulative distribution function
• Kernel density estimation for length biased data
• Weighted Distributions and Size-Biased Sampling with Applications to Wildlife Populations and Human Families
• Bandwidth selection for kernel density estimation with length-biased data
• Local Smoothing for Kernel Distribution Function Estimation
• A New Kernel Distribution Function Estimator Based on a Non‐parametric Transformation of the Data

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