DEPARTMENT OF STATISTICS AND ACTUARIAL SCIENCE STAT1302 Probability and Statistics II (Second Semester 2010-2011) Lecturer: Stephen M.S. LEE (MW528, email: firstname.lastname@example.org , tel: 2857 8323) Tutors: Ms Clara W.S. LOK (MW515, email: email@example.com , tel: 2859 1920) Learning Outcomes (1) Upon completion of the course, students should be able to apprehend the objectives of statistics and its relation to probability theory; (2) relate a real-life problem to a formal framework for statistical inference; (3) conduct standard parametric statistical inference by means of estimation and hypothesis testing; (4) reckon the general applicability of statistics in a broad range of subject areas. Course content (1) Overview: • Statistical reasoning, statistical model, random sampling, statistical inference, frequentist paradigm • revision of probability theory: random variable, distribution, sampling distribution of statistic, large-sample theory (2) Likelihood and sufficiency: • likelihood function, likelihood principle
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