Explore various statistical approximation techniques in this comprehensive 2.5-hour video series. Learn about the Binomial Distribution approximating the Hypergeometric Distribution, the Poisson Distribution approximating the Binomial Distribution, and the Chi-square approximation to an F Distribution. Delve into the Delta Method, Normal Approximation to the t Distribution, and Fisher's Approximation. Utilize R for practical applications of the Delta Method in approximating function distributions of sample means. Investigate asymptotic confidence intervals, Welch's Approximation, and exact confidence intervals for comparing population means. Examine moment calculations for sample means of Bernoulli random variables and approximations for functions of sample means. Study the Multivariate Normal Distribution as an approximation to the Multinomial Distribution, Normal Approximation to the Negative Binomial, Method of Moments Estimation for Beta Distribution, and prove Pearson's Goodness of Fit Test Statistic limits to a Chi-square Distribution. Read more