Asymptotic distributions of estimators of the derivative of a density and the score function

DOI10.1016/0378-3758(85)90049-7zbMath0578.62045OpenAlexW2013750459MaRDI QIDQ1066587

John van Ryzin, Soo Peter Ouyang

Publication date: 1985

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-3758(85)90049-7

zbMATH Keywords

order statisticsasymptotic normalityempirical Bayes estimatescore functiondensity derivativeshistogram-type density estimatekernel-type density estimate

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Nonparametric estimation (62G05) Central limit and other weak theorems (60F05) Order statistics; empirical distribution functions (62G30)

Related Items (2)

Estimates for the score function under random censoring ⋮ Large sample properties of kernel-type score function estimators

Cites Work

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• Remarks on Some Nonparametric Estimates of a Density Function
• Estimation of the derivative of a density and related functions
• Uniform consistency of a histogram density estimator and modal estimation
• A histogram method of density estimation
• A Nonparametric Estimate of a Multivariate Density Function
• On Non-Parametric Estimates of Density Functions and Regression Curves
• The Empirical Bayes Approach to Statistical Decision Problems
• Estimation of a Probability Density Function and Its Derivatives
• On Estimation of a Probability Density Function and Mode

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