Yury Polyanskiy2023-10-252023-10-252018https://repository.vlu.edu.vn/handle/123456789/9238Courses: Lý thuyết xác suất và thống kê toán ; Included Materials: Syllabus, Lecture Notes, Readings, Assignments, Exams ; Source: https://ocw.mit.edu/courses/6-436j-fundamentals-of-probability-fall-2018/resources/mit6_436jf18_lec01/ ; Language: English ; Publisher: MIT Open CoursewareThis is a course on the fundamentals of probability geared towards first or second-year graduate students who are interested in a rigorous development of the subject. The course covers sample space, random variables, expectations, transforms, Bernoulli and Poisson processes, finite Markov chains, and limit theorems. There is also a number of additional topics such as: language, terminology, and key results from measure theory; interchange of limits and expectations; multivariate Gaussian distributions; and deeper understanding of conditional distributions and expectationsen-USResource Types::text::lecture