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Independent and identically distributed random variables
Formal sciences
Statistics
Statistical inference
Mathematical statistics
Related lectures (31)
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Probability Distributions in Environmental Studies
Explores probability distributions for random variables in air pollution and climate change studies, covering descriptive and inferential statistics.
Probability and Statistics
Delves into probability, statistics, paradoxes, and random variables, showcasing their real-world applications and properties.
Probability and Statistics: Fundamental Theorems
Explores fundamental theorems in probability and statistics, joint probability laws, and marginal distributions.
Law of Large Numbers: Strong Convergence
Explores the strong convergence of random variables and the normal distribution approximation in probability and statistics.
Stochastic Models for Communications
Explores mean, variance, probability functions, inequalities, and various types of random variables, including Binomial, Geometric, Poisson, and Gaussian distributions.
Renormalization Group: Ising Model
Explores the renormalization group applied to the Ising model and the derivation of the central limit theorem.
Transformations of Random Variables
Covers the pdf of the sum of continuous random variables, convolution, and transformations like Y=aX.
Continuous Random Variables: Basics
Explores continuous random variables, cdf, pdf, convolution, and sum of dice.
Continuous Random Variables
Explores continuous random variables, density functions, joint variables, independence, and conditional densities.
Probability and Statistics
Explores joint random variables, conditional density, and independence in probability and statistics.