On arbitrarily slow rates of global convergence in density estimation

Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete

Volumn 62, Issue 4, 1983, Pages 475-483

  Devroye, Luc ^a  

^a MCGILL UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001753901     PISSN: 00443719     EISSN: 14322064     Source Type: Journal    
DOI: 10.1007/BF00534199     Document Type: Article

References (14)

1. Conditions nécessaires et suffisantes de convergence L1 en probabilité de l'histogramme pour une densité
2. Lower bounds for nonparametric density estimation rates
3. Estimation des densités: risque minimax
4. On the pointwise and the integral convergence of recursive estimates of probability densities
5. The L1 convergence of kernel density estimates
6. On the lack of a uniformly consistent sequence of estimators of a density function in certain cases
7. On the best obtainable asymptotic rates of convergence in estimation of a density function at a point
8. The square error of the density estimate of a multidimensional normal distribution for a given sample
9. On the integral mean square error of some nonparametric estimates for the density function
10. Curve estimates
11. Global measures of deviation for kernel and nearest neighbor density estimates
12. Optimal rates of convergence for nonparametric estimators
13. Optimal convergence properties of variable knot, kernel and orthogonal series methods for density estimation