Rutgers University 3 credits Mathematical Sciences
This course provides a mathematically precise introduction to the basic concepts of probability theory, whose aim is the description and study of random phenomena. The following basic principles are introduced: stochastic modeling, conditional probabilities and independence of random variables, as well as their expectation and variance, two fundamental limit theorems for long-time averages of independent identically distributed random variables. The course concludes with an introduction to Markov chains and their long-time behavior.
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