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Advanced Probability
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Related lectures (28)
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Modes of Convergence
Explores modes of convergence in probability and statistics, illustrating concepts with examples and discussing the continuity theorem.
Law of Large Numbers: Strong Convergence
Explores the strong convergence of random variables and the normal distribution approximation in probability and statistics.
Binomial Distributions
Covers the normal distribution, inferential statistics, probability, and the binomial distribution in the context of the 'Dishonest Gambler Problem'.
Random Variables and Expected Value
Introduces random variables, probability distributions, and expected values through practical examples.
Probability and Statistics: Discrete Random Variables
Explores discrete random variables, mass functions, and distribution functions in probability and statistics.
Advanced Probability: Examples
Covers the Geometric Distribution, biased coins, expected number of flips, and generating random numbers.
Probability and Measure: Fundamentals and Applications
Covers fundamental concepts of probability theory and measure theory, including joint probabilities, random variables, and the central limit theorem.
Probability and Statistics: Fundamentals
Covers the fundamental concepts of probability and statistics, including interesting results, standard model, image processing, probability spaces, and statistical testing.