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Independent and identically distributed random variables
Formal sciences
Statistics
Statistical inference
Mathematical statistics
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Related lectures (31)
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Random Variables: Expectation and Independence
Explores random variables, expectation, and independence in probability theory.
Probability and Statistics
Covers probability, statistics, independence, covariance, correlation, and random variables.
Probability Distributions: Basics and Properties
Covers the basics of probability distributions, including mean, variance, and properties of random variables.
Central Limit Theorem: Properties and Applications
Explores the Central Limit Theorem, covariance, correlation, joint random variables, quantiles, and the law of large numbers.
Binomial and Poisson Mass Functions
Explores binomial and Poisson mass functions, calculating probabilities and discussing distribution functions of random variables.
Statistical Theory: Fundamentals
Covers the basics of statistical theory, including probability models, random variables, and sampling distributions.
Elements of Statistics
Introduces key statistical concepts like probability, random variables, and correlation, with examples and explanations.
Entropy and Data Compression: Huffman Coding Techniques
Discusses entropy, data compression, and Huffman coding techniques, emphasizing their applications in optimizing codeword lengths and understanding conditional entropy.
Central Limit Theorem: Illustration and Applications
Explores the Central Limit Theorem and its applications in statistical analysis.
Independence and Covariance
Explores independence and covariance between random variables, discussing their implications and calculation methods.