seminars:stat:200213 [Department of Mathematics and Statistics, Binghamton University]

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<WRAP centeralign>##Statistics Seminar##\\ Department of Mathematical Sciences</WRAP>

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^  **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|
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<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.


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