# Statistics 100B: Introduction to Mathematical Statistics

### Announcements

• First lecture is on Tuesday, 02 August 2022
Location: MS 5200
Day/time: TR 10:00 - 11:50
See you then!

• http://www.socr.ucla.edu

#### • http://wiki.stat.ucla.edu/socr/index.php/SOCR_EduMaterials

### Handouts

• 1. Summary of discrete and continuous distributions (review from Statistics 100A).
• The next five links are the statistical tables needed for the entire quarter (from "Mathematical Statistics and Data Analysis", by John Rice, Doxbury Press, Second Edition (1995)).
Table 1: Standard normal distribution table (Z).
Table 2: Chi-square distribution table.
Table 3: t distribution table.
Table 4: F distribution table (95th percentiles).
Table 5: F distribution table (99th percentiles).
• 2. Some review material from Statistics 100A.
• 3. Simulation of random variables.
• 4. Covariance and correlation.
• 5. Poisson, Exponential, and Gamma distributions.
• 6. Notes on expectation, independence, and exponential families.
• 7. Random vectors and properties.
• 8. Moment generating functions and properties.
• 9. Beta distribution.
• 10. Central limit theorem: proof and examples.
• 11. Functions of random variables and joint distributions of functions of random variables.

• Practice 1.
• Practice 2.

### Homework

• Homework 1. Due by 22:00 on Saturday, 08/06.
• Homework 2. Due by 22:00 on Tuesday, 08/09.