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seminars:stat:141211 [2014/11/20 20:32]
qiao
seminars:stat:141211 [2014/11/20 20:33] (current)
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 +<WRAP centeralign>##​Statistics Seminar##\\ Department of Mathematical Sciences</​WRAP>​
 +
 +~~META:​title =December 11, 2014~~
 +<WRAP 70% center>
 +|  **DATE:​**|Thursday,​ December 11, 2014 |
 +|  **TIME:​**|1:​15pm to 2:15pm |
 +|  **PLACE:​**|OW 100E |
 +|  **SPEAKER:​**|Yilin Zhu (Binghamton University) |
 +|  **TITLE:​**|Efficient Estimation In Various Regression Model With Possibly Missing Responses ​ |
 +</​WRAP>​
 +\\ 
 +
 +<WRAP center box 80%>
 +<WRAP centeralign>​**Abstract**</​WRAP>​
 +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.
 +</​WRAP>​