" Exact asymptotic  errors of  the hazard rate  kernel estimator
 under truncated and censored data"



In this talk, we give the exact asymptotic mean integrated squared error
 and the mean squared error
for the kernel estimator of the hazard rate from truncated and censored data.
Martingale techniques and combinatory calculus are used to obtain these results.
A probability bound and the optimal bandwidth choice are also given.