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The Chinese University of Hong Kong
This course is concerned with point estimation in Euclidean sample spaces. Topics include measure theory and integration, group families, exponential families, sufficient statistics, convex loss functions, UMVU estimators, performance of the estimators, the information inequality, the principle of equivariance. Bayes estimation, minimax estimation, convergence in probability and in law, large-sample comparisons of estimators and asymptotic efficiency. (For students in MPhil-PhD Statistics; For students in MPhil Risk Management Science)
Midterm + Final Exam
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