87 citations · 248 across the 11 of their papers we have counts for
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Revisiting Révész's stochastic approximation method for the estimation of a regression function
Abdelkader Mokkadem, Mariane Pelletier, Yousri Slaoui
In a pioneer work, Révész (1973) introduces the stochastic approximation method to build up a recursive kernel estimator of the regression function . However, ac…
The stochastic approximation method for the estimation of a multivariate probability density
Abdelkader Mokkadem, Mariane Pelletier, Yousri Slaoui
We apply the stochastic approximation method to construct a large class of recursive kernel estimators of a probability density, including the one introduced by Hall and Patil (199…
Joint behaviour of semirecursive kernel estimators of the location and of the size of the mode of a probability density function
Abdelkader Mokkadem, Mariane Pelletier, Baba Thiam
Let and denote the location and the size of the mode of a probability density. We study the joint convergence rates of semirecursive kernel estimators of and . We sh…