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Inequalities and bounds for kernel length-biased density estimation

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Publication:1856008
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DOI10.1016/S0096-3003(02)00067-XzbMath1016.62027OpenAlexW2020741280MaRDI QIDQ1856008

Broderick Olusegun Oluyede

Publication date: 28 January 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00067-x


zbMATH Keywords

random censoringstochastic inequalitiesstochastic convergenceL1 density estimation


Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20) Inequalities; stochastic orderings (60E15)


Related Items

A note on exponential dispersion models which are invariant under length-biased sampling



Cites Work

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  • Asymptotic normality of the kernel estimate under dependence conditions: Application to hazard rate
  • Testing for dispersive ordering
  • Nonparametric estimation in the presence of length bias
  • Some nonasymptotic bounds for \(L_ 1\) density estimation using kernels
  • On asymptotic properties of an estimate of a functional of a probability density
  • Weighted Distributions and Size-Biased Sampling with Applications to Wildlife Populations and Human Families
  • On Strong Consistency of Density Estimates
  • On Estimation of a Probability Density Function and Mode
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