# When Statistics Embraces A.I.

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### Syllabus

Time and Location: 10:30 am --- 11:45 am T Th, Univ 019

Instructor: Professor Xiao Wang
Office: Math-514
Office Hours: TH 2:00 pm-3:00 pm
Phone: (49)6-7574
Email: wangxiao@purdue.edu

Email: gao176@purdue.edu

Textbook: Probability and Statistics: The Science of Uncertainty (Second Edition) by Michael J. Evans, Michael Evans, Jeffrey S. Rosenthal

Web Page: http://www.stat.purdue.edu/~wangxiao/STAT417/stat417.html

Objective: An introduction to the mathematical theory of statistical inference, emphasizing inference for standard parametric families of distributions. Properties of estimators. Bayes and maximum likelihood estimation. Sufficient statistics. Properties of test of hypotheses. Distribution theory for common statistics based on normal distributions.

Prerequisites: Stat416, or equivalent

Lectures: The computer-displayed notes will be made available to you on the class web page. You can print them to facilitate taking notes in class.

Final Grade: Your final grade will depend on the following components with these proportions: homework (30%), midterm (30%), final exam (40%). The percentage grades needed to achieve an A, B, C, D, or F will follow approximately the following scale: 85 – 100 = A, 70 – 84 = B, 55 – 69 = C, 50 – 54 = D, 0 – 49 = F. This course has "+" and "-" scores.

Examinations: There will be one midterm examination and one final examination. These will contribute the majority of your final grade. The final examination will cover the entire course, with the last part of the course having particular emphasis.

Homework: The homework will be assigned approximately one week before its due date and will also be posted on the class web page. The homework must be finished (written) independently. Discussion is okay, but exact same copies will not be accepted, in which case all students involved will not be graded. Late homework will not be accepted under any circumstances (late = after noon on the due date). Usually, homework solutions will be posted on the class web page shortly after the due time. To allow for illness, family emergencies, etc., your greatest loss of points on a single homework will be cancelled.

Homework must always be stapled if it is longer than one page. The first page of each homework set handed in must contain the following information: