##Statistics Seminar##\\ Department of Mathematical Sciences ^ **DATE:**|Thursday, October 28, 2021 | ^ **TIME:**|1:15pm -- 2:15pm | ^ **LOCATION:**|Zoom meeting | ^ **SPEAKER:**|Mengyu Chen, Binghamton University | ^ **TITLE:**|An Empirical Likelihood Approach for Local Power of a Test | \\ **Abstract** Consider a random sample from the location model (X,Y) whose marginal distributions differ by a location parameter theta_n and for the hypothesis test with null hypothesis H_0: the location parameter = theta_0 , the logarithm of empirical likelihood of theta_0 has a limiting non-central chi-squared distribution under some appropriate assumptions. This problem can be extended to the scale model and location-scale model with a slight modification of the assumptions.