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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> | ||