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--- seminars:stat:200130 [2020/01/27 15:38] – qyu
+++ seminars:stat:200130 [2020/01/30 16:37] (current) – carol
@@ Line 1: / Line 1: @@
+<WRAP centeralign>##Statistics Seminar##\\ Department of Mathematical Sciences</WRAP>
+<WRAP 70% center>
+^  **DATE:**|Thursday, January 30, 2020 |
+^  **TIME:**|1:15pm -- 2:15pm |
+^  **LOCATION:**|WH 100E |
+^  **SPEAKER:**|Qiqing Yu, Binghamton  University |
+^  **TITLE:**|Consistency Of The MLE Under The Distribution Without Expectation Of Log-Likelihood |
+</WRAP>
+\\
+<WRAP center box 80%>
+<WRAP centeralign>**Abstract**</WRAP>
+We study the sufficient conditions for the consistency of the maximum likelihood estimator (MLE)
+under a certain parametric distribution families where
+E(log f(X)) may not exist or may not be  finite, and
+f is the density of the random variable $X$.
+The existing sufficient conditions in
+the classical textbooks (e.g.,
+Ferguson (1996), Casella and Berger (2001), among others)
+for the consistency of MLEs  are not applicable to these families.
+We establish another set of sufficient conditions
+and apply them to these  class of parametric families.
+</WRAP>