Statistics and Probability II (STAT410/MATH464)
Official Course Description
Moment-generating functions, transformations of random variables, normal sampling theory, sufficiency, best estimators, maximum likelihood estimators, confidence intervals, most powerful tests, unbiased tests, and chi-square tests.
Unofficial Description (Student Feedback)
This class is considered very difficult for many students in the statistics major. However, a lot of the difficulty of the class can be offset by having strong calculus fundamentals, specifically being proficient in double integration and change of variables. A lot of the necessary skills needed from STAT400/MATH463 are provided in the class such as conditional probability and maximum likelihood estimators (MLEs). Do note that the class has a textbook, namely Hogg and Craig’s Introduction to Mathematical Statistics, it is not required.
Official Prerequisites
Notes on Enrolling
Enrollment is initially only open to Mathematics, Statistics, and Statistics + Computer Science majors
Degree Requirements Fulfilled
This course satisfies a core requirement or an elective requirement* for the following programs:
Mathematics, BS
Mathematics, BS (Data Optimization)
Mathematics and Computer Science, BS (Group I)
Statistics, BS
Statistics and Computer Science, BS
Electrical Engineering, BS
Computer Engineering, BS
General Advice
Utilize the Canvas page for this class. A lot of the problems are identical to the ones on the Canvas page. The professor will usually also post lecture videos which are a good resource. STAT410 is also pretty self-contained, so it’s more practical to be good at calculus than reviewing STAT400 although reviewing it will not hurt at all.
General Postrequisites
Other Information
This class can be substituted for STAT420 for both the math minor, stat minor and the data optimization concentration for the mathematics major.
Resources
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Recent Professors
Alexey Stepanov, Susu Zhang, Feng Liang, Eren Kizildag, Joshua Agterberg, Yun Yang