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--- seminars:stat:200213 [2020/02/12 15:12]
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+++ seminars:stat:200213 [2020/12/02 12:39] (current)
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+<WRAP centeralign>##Statistics Seminar##\\ Department of Mathematical Sciences</WRAP>
+<WRAP 70% center>
+^  **DATE:**|Thursday, Dec. 3, 2020 |
+^  **TIME:**|1:15pm -- 2:15pm |
+^  **LOCATION:**|Zoom meeting |
+^  **SPEAKER:**|Mengyu Chen, Binghamton University |
+^  **TITLE:**|An Empirical Likelihood Approach on Bivariate Random Variables|
+</WRAP>
+\\
+<WRAP center box 80%>
+<WRAP centeralign>**Abstract**</WRAP>
+Suppose Z_1, Z_2,..., Z_n are independent copies of Z=(X,Y),
+where X and Y-theta have the same marginal distributions. We want to test
+if theta equals some specific value, say 0. One way to do this is using two
+samples t test. There is another way by using empirical likelihood methods.
+Under some certain conditions, -2 log(R(theta)) has a limiting chi-square
+distribution. This method is much better by using the two samples t test.
+The empirical approach can later on be used to estimate the value of theta.
+</WRAP>