Equivalence of uniform asymptotic unbiasedness, mean square and strong consistencies of recursive estimates of a density and its p-th derivative

DOI10.1016/0378-3758(85)90055-2zbMath0606.62020OpenAlexW2088141121MaRDI QIDQ1084786

B. George

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)90055-2

zbMATH Keywords

derivativedensity functionuniform strong consistencybounded and uniformly continuousrecursive kernel estimatorsuniform asymptotic unbiasednessuniform mean square consistencywindow-width function

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Nonparametric estimation (62G05)

Cites Work

• Non-parametric recursive estimates of a probability density function and its derivatives
• Improvement on some known nonparametric uniformly consistent estimators of derivatives of a density
• Remarks on some recursive estimators of a probability density
• Asymptotically optimal discriminant functions for pattern classification
• Curve Estimates
• Nonparametric Probability Density Estimation: I. A Summary of Available Methods
• A Note on Permanents
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