Elements of Statistics: Probability, Distributions, and Estimation

This lecture covers the fundamental concepts of statistics, focusing on probability theory, various distributions such as uniform, Gaussian, binomial, Poisson, and exponential, and estimation theory. Topics include moments, covariance, correlation, the Law of Large Numbers, and the Central Limit Theorem. The instructor discusses the accuracy, precision, and resolution of measurements, error analysis, and the importance of ergodicity in random processes.