Problem of the Week
Hilton Memorial Lecture
Department of Mathematical Sciences
|DATE:||Thursday, December 11, 2014|
|TIME:||1:15pm to 2:15pm|
|SPEAKER:||Yilin Zhu (Binghamton University)|
|TITLE:||Efficient Estimation In Various Regression Model With Possibly Missing Responses|
We considered parametric estimation and error estimation in two classical regression models. First, a heteroscedastic linear regression model is considered where responses are allowed to be missing at random and with conditional variance modeled as a function of the mean response. Maximum empirical likelihood estimation is studied for an empirical likelihood with an increasing number of estimated constraints. The resulting estimator is shown to be asymptotically normal and can perform outperform the ordinary least squares estimator. Second, we proved a stochastic expansion for a residual-based estimator of the error distribution in semi-parametric model. It implies a functional central limit theorem.