Everything can change with little or no notice at any moment…
In particular, a class (lecture and/or discussion) can be moved to on-line mode on a very short notice, so please check your e-mail before every class.
Mathematical Statistics (Math 408)
Spring 2025
Section 1: 39631R (10am MWF, ZHS 163)
Final exam for section 1: Monday, May 12, 8-10am, in ZHS 163
Section 2: 39635R (11am MWF, ZHS 163)
Final exam for section 2: Wednesday, May 7, 11am-1pm, in ZHS 163
Our Math 408 in Spring 2025 semester: Key dates for both sections
- January 13: first day of classes
- January 20: MLK Day, no class
- January 31: Last day to drop without a `W’ AND with refund
- February 17: Presidents’ Day, no class
- February 28: Last day to drop without a `W’, BUT WITH NO refund
- March 10: Midterm Exam 1 (during regular lecture time, in the regular lecture room)
- March 14: First computer project is due
- March 17-21: Spring break
- April 11: Last day to drop with a `W’
- April 21: Midterm Exam 2 (during regular lecture time, in the regular lecture room)
- April 25: Second computer project is due
- May 2: Experimental project is due; Last day of classes
Class Schedule
Homeworks and the Final/Experimental Project
Computer Projects
- Instructor: Dr. Sergey Lototsky.
Office: KAP 248 D.
Phone: (213) 740-2389.
E-mail: lototsky (at) usc (dot) edu.
Office hours: MWF 12:30-1:30pm
Please make sure to talk to me about your problems, questions, or concerns in this class. We can always arrange a special zoom meeting.
- Teaching Assistant for Section 1 (10am lecture): Gaozhan Wang
E-mail: gaozhanw {at} usc {dot} edu
Discussions: T Th, 2:00-2:50pm and 3:00-3:50am in DMC 205
Office hours: T 12-2pm; Th 1-2pm in KAP 263 (math center)
- Teaching Assistant for Section 2 (11am lecture): Oleksandra Lymar
E-mail: lymar [at] usc [dot] edu
Discussions: T Th, 8:00-8:50am and 9:00-9:50am in KAP 163
Office hours: T 5-7pm; Th 10-11am in KAP 263 (math center)
- Textbook:“Mathematical Statistics with Applications” by D. Wackerly, W. Mendenhall and R. Scheaffer, published by CENGAGE Learning of Brooks/Cole. Any edition will do; I have 7th (from 2007/2008).
- Objective: To provide the students with the general knowledge and skills necessary to apply statistical methods to more specific areas of natural and social sciences.
- Goal: To understand the material in Chapters 1 and 8-16 of the book.
- Note: The material of Chapters 2-7 in our book is covered in MATH 407 and is a pre-req for this class [MATH 407 uses a different book, though].
There will be two one-hour exams: March 10 and April 21 (both Mondays) during regular lecture hours.
Calculators are required during exams and most quizzes.
Homework, Quizzes, etc.: There will be 12 weekly quizzes, 12 homeworks, two computer projects, and an experimental project. You should know how to solve every homework problem and turn in each homework on the corresponding due date, but do not expect homework problems to be thoroughly graded. You are welcome to use any help with all the work other than quizzes and exams. During quizzes and exams, you are on your own, with only a writing/erasing instrument, a calculator (without internet connection or any other communication capabilities) and, if applicable, suitable tables of basic distributions. The choice of a calculator is up to you. In particular, you are welcome to use one with advanced statistical features, so that you will not need any tables. While a precise definition of a calculator might not really exist, devices such as tablets, smart phones, and laptop computers certainly do not count as calculators and are not allowed during exams. If in doubt, please talk to me in advance about the particular calculator you plan to use.
Please keep in mind that homework assignments are minimal requirements. To succeed in the class, you need to solve more problems, from the book and/or from other sources. Keep all your notes, including scratch paper, until after you are completely done with this class.
Quizzes will take place during discussion sections, either on Tuesday or on Thursday. The exact dates are in the class schedule. Calculators are required for most quizzes. The teaching assistant is responsible for preparing, administering, and grading quizzes and for collecting and grading the homeworks.
Grading:
- Quizzes 10% total (less than 1% each)
- Homeworks 10% total (less than 1% each)
- Two One-Hour Exams, 30% total (15% each)
- Two Computer Projects, 10% total (5% each)
- Experimental Project 10%
- Final Exam 30%
Approximate Grading Scheme. A: 90 and up; B: 80-89; C: 70-79. Pluses/minuses (As in A-, B+, etc.) will mostly be decided on a case-by-case basis.
Missed work. The general rule: no make-up exams or quizzes, and no late submissions of homeworks or projects (but early submissions, especially in electronic format, are welcome). Emergencies will be handled on a case-by-case basis. If you miss the final exam, with a valid excuse, you get an incomplete in the class; an incomplete is a major inconvenience for a number of people, including yourself, so, please, do not miss the final.
To encourage and reward consistent performance throughout the semester, I will not automatically drop any scores (such as the two lowest quizzes, etc.)
Additional Information.
Students Requiring Special Accommodation
Any student requesting academic accommodations based on special needs is required to register with OSAS (Office of Student Accessibility Services) each semester. A letter of verification for approved accommodations can be obtained from OSAS. Please be sure the letter is delivered to me (or to TA) as early in the semester as possible. OSAS is located in GFS 120. To contact OSAS: (213) 740-0776 [tel.], SASfrntd@usc.edu [e-mail], on the web.
Academic Integrity
USC seeks to maintain an optimal learning environment. General principles of academic honesty include the concept of respect for the intellectual property of others, the expectation that individual work will be submitted unless otherwise allowed by an instructor, and the obligations both to protect one’s own academic work from misuse by others as well as to avoid using another’s work as one’s own. All students are expected to understand and abide by these principles. Scampus (the Student Guidebook) contains the Student Conduct Code in Section 11.00, while the recommended sanctions are in Appendix A.
Academic Support The Kortschak Center for Learning and Creativity
Additional Material
Previous exams
Exam 1 Spring 2015 Spring 2016 Fall 2017 Spring 2018 Fall 2020 Spring 2022 [sol] Spring 2023 Spring 2024
Exam 2 Spring 2015 Spring 2016 Fall 2017 Spring 2018 Fall 2020 Spring 2022 Spring 2023 Spring 2024
Final Exam Spring 2015 Spring 2016 Fall 2017 Spring 2018 Fall 2020 Spring 2022 Spring 2023 Spring 2024
Other materials
- Mine
- Some Abbreviations
- Lecture 1
- General summary of probability
- Random variables: general definitions and an easy diagram
- Summary of normal distribution and CLT [and a more detailed version]
- Basic inequalities
- Convergence of random variables and an illustration
- Summary of some confidence intervals
- Summary of some hypothesis testing
- Two summaries of linear algebra: somewhat basic and more advanced
- Summary of ANOVA
- Thomas Bayes
- Gamma and Beta Functions
- By other people
- (Almost) everything you need to know about probability distributions
- Basic formulas and tables
- Four tables [can be used on all our exams]
- Two summaries of linear algebra: your choice of Four pages or Ten pages
- Cauchy distribution
- How to write Greek letters (by Olga Korosteleva, CSULB)
- Simpson’s Paradox
- Normal Probability Plot
- More about probability plots
- Quantile-Quantile plot
- Non-uniqueness of MLE
- A research paper about sample correlation coefficient
- A research paper about variance stabilization
- An essay on (recent) history of statistics
- A survey paper about conjugate priors
- The German Tank Problem: a Wiki summary, a student research paper
- Size-biasing [a survey paper by USC Math Professors]
- An example of a dataset
Part of this is performed by a (then, future, now, former) math 408 student
More
Southern California Chapter of the American Statistical Association (SCASA)
USC Math Department Homepage