jeudi 26 juin 15h00, à Calais.
Intervenant:
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Han-Ying Liang
Titre:
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«Estimation in nonparametric regression with truncated, censored
and dependent data»
Résumé:
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In this talk, we construct the Nadaraya-Watson (NW) and local
linear (LL) estimators of conditional mean functions and their
derivatives for a left truncated and right censored model.
The target function includes the regression function, the
conditional moment as well as the conditional distribution
function as special cases. It is assumed that the lifetime
observations with covariates form a stationary $\alpha$-mixing
sequence. Asymptotic normality of the estimators is established.
Finite sample behavior of the estimators is investigated via
simulations. A real data illustration is included too.
At the same time, we construct a weighted estimator of the
conditional mean function, and prove its asymptotic properties.