Theory of Probability

Attendance

Online

Posted on

Type

Supplementary courses

Study Options

Full Time

Fees

Regular fees: 5200 USD

This course covers probability spaces as models for phenomena with statistical regularity. Students who take this course should be able to use the framework of probability to quantify uncertainty and update beliefs given the right evidence. Students will also learn how to use a variety of strategies to calculate probabilities and expectations, both conditional and unconditional, as well as how to understand the generative stories for discrete and continuous distributions and recognize when they are appropriate for real-world scenarios.

Students who take the course for 4 units should expect to complete an additional assignment, and those who take the course for 5 units should expect to complete two additional assignments and a midterm exam. 

Prerequisites

Integral Calculus of Several Variables (Stanford Course: MATH 52) and familiarity with infinite series, or equivalent.

Topics include

  • Naive and axiomatic definition of probability
  • Conditional probability such as Bayes' rule, independence of events and Simpson's paradox
  • Bernoulli, Binomial, and Hypergeometric distributions
  • Indicator r.v.s, continuous random variables and exponential distribution
  • Poisson distribution, approximation and process
  • Inequalities such as Cauchy-Schwarz, Jensen, Markov, Chebyshev and Chernoff

Note on Course Availability

This course is typically offered Summer quarter.

The course schedule is displayed for planning purposes – courses can be modified, changed, or cancelled. Course availability will be considered finalized on the first day of open enrollment. For quarterly enrollment dates, please refer to our graduate certificate homepage.

023Summer 2019-20Online

Enroll Now

Dates:June 22 - August 13, 2020
Units:4.00
Instructors:Marius Tirlea
Delivery Option:

Online

Fees:
For Credit$5,200.00

Notes: Enrollment Dates: April 30 to June 15, 2020 at 5:00PM PST

This course may not currently be available to learners in some states and 

More Information

Posted on

Type

Supplementary courses

Study Options

Full Time

Fees

Regular fees: 5200 USD

United States