seminars:stat:210401
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| + | Consider a random sample from a bivariate random vector | ||
| + | whose marginal distributions differ by a location parameter. | ||
| + | An empirical likelihood approach with a fixed number of unknown | ||
| + | constraints is proposed. | ||
| + | including the construction of a non-parametric confidence region and test. | ||
| + | Then a uniform local asymptotic normality condition is established | ||
| + | for the empirical likelihood. This is used to derive various versions | ||
| + | of maximum empirical likelihood estimators based on the work of | ||
| + | Peng and Schick (2018). | ||
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| + | This is the Admission to Candidacy Exam for Mengyu Chen. | ||
| + | The Committee members are Guifang Fu, Anton Schick (Chair), | ||
| + | and Qiqing Yu. | ||
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