Le jeudi 3 mars 2011, à 13 h 30, en la salle 2500 du pavillon Adrien-Pouliot

On Nonparametric Density Estimation for Length Biased Data
Yogendra Chaubey, Université Concordia

This talk will highlight some recent development in the area of nonparametric functional estimation with emphasis on nonparametric density estimation for length biased data. Such data entail constraints that many traditional nonparametric density estimators may not satisfy. A lemma attributed to Hille, and its generalization [see Lemma 1, Feller (1965) An Introduction to Probability Theory and Applications, xVII.1)] is used to propose estimators in this context. After describing the asymptotic properties of the estimators, we present the results of a simulation study to compare various nonparametric density estimators.