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Invalidity of average squared error criterion in density estimation

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Publication:4181812
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DOI10.2307/3315047zbMath0398.62035OpenAlexW2082453754MaRDI QIDQ4181812

J. Michael Steele

Publication date: 1978

Published in: Canadian Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3315047


zbMATH Keywords

Density EstimationMean Integrated Squared ErrorAverage Squared Error


Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20)


Related Items (7)

Random approximations to some measures of accuracy in nonparametric curve estimation ⋮ Central limit theorems for \(L_ p\)-norms of density estimators ⋮ On a weighted bootstrap approximation of the \(L_p\) norms of kernel density estimators ⋮ Large-sample study of the kernel density estimators under multiplicative censoring ⋮ Limit theorems for stochastic measures of the accuracy of density estimators ⋮ Lower bounds for bandwidth selection in density estimation ⋮ Weighted bootstrapped kernel density estimators in two-sample problems



Cites Work

  • A Review of Some Non-parametric Methods of Density Estimation
  • Nonparametric probability density estimation


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