Abdelkader Mokkadem

collaborators

2 papers

math.ST2008

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…

math.ST2008

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 $θ$ and $μ$ denote the location and the size of the mode of a probability density. We study the joint convergence rates of semirecursive kernel estimators of $θ$ and $μ$ . We sh…