Free Access
Issue
ESAIM: PS
Volume 8, August 2004
Page(s) 1 - 11
DOI https://doi.org/10.1051/ps:2003015
Published online 15 September 2004
  1. C. Abraham, G. Biau and B. Cadre, Simple estimation of the mode of a multivariate density. Canadian J. Statist. 31 (2003) 23-34. [CrossRef]
  2. L. Devroye, Recursive estimation of the mode of a multivariate density. Canadian J. Statist. 7 (1979) 159-167. [CrossRef]
  3. L. Devroye, A Course in Density Estimation. Birkhäuser, Boston (1987).
  4. W.F. Eddy, Optimum kernel estimates of the mode. Ann. Statist. 8 (1980) 870-882. [CrossRef] [MathSciNet]
  5. V.D. Konakov, On asymptotic normality of the sample mode of multivariate distributions. Theory Probab. Appl. 18 (1973) 836-842.
  6. J. Leclerc and D. Pierre-Loti-Viaud, Vitesse de convergence presque sûre de l'estimateur à noyau du mode. C. R. Acad. Sci. Paris 331 (2000) 637-640.
  7. A. Mokkadem and M. Pelletier, A law of the iterated logarithm for the kernel mode estimator, ESAIM: Probab. Statist. 7 (2003) 1-21.
  8. E. Parzen, On estimation of a probability density function and mode. Ann. Math. Statist. 33 (1962) 1065-1076. [NASA ADS] [CrossRef] [MathSciNet]
  9. D. Pollard, Convergence of Stochastic Processes. Springer–Verlag, New York (1984).
  10. J.P. Romano, On weak convergence and optimality of kernel density estimates of the mode. Ann. Statist. 16 (1988) 629-647. [CrossRef] [MathSciNet]
  11. M. Rosenblatt, Remarks on some nonparametric estimates of a density function. Ann. Math. Statist. 27 (1956) 832-837. [CrossRef] [MathSciNet]
  12. T.W. Sager, Estimating modes and isopleths. Comm. Statist. – Theory Methods 12 (1983) 529-557. [CrossRef]
  13. M. Samanta, Nonparametric estimation of the mode of a multivariate density. South African Statist. J. 7 (1973) 109-117. [MathSciNet]
  14. B. Silverman, Weak and strong uniform consistency of the kernel estimate of a density and its derivatives. Ann. Statist. 6 (1978) 177-184. [CrossRef] [MathSciNet]
  15. P. Vieu, A note on density mode estimation. Statist. Probab. Lett. 26 (1996) 297-307. [CrossRef] [MathSciNet]

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.