Stochastic integrals of empirical-type processes with applications to censored regression

Tze Leung Lai, Zhiliang Ying · Journal of Multivariate Analysis · 1988

Motivated by the analysis of linear rank estimators and the Buckley-James nonparametric EM estimator in censored regression models, we study herein the asymptotic properties of stochastic integrals of certain two-parameter empirical processes. Applications of these results on empirical processes and their stochastic integrals to the asymptotic analysis of censored regression estimators are also given.

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