This course covers a wide range of statistical distributions, including F Distribution, Noncentral Chi-square Distribution, t Distributions, and more. By the end of the course, students will be able to derive various statistical distributions and understand their properties. The course teaches skills such as deriving distributions, calculating mean and variance, and integrating bivariate distributions. The teaching method involves theoretical derivations and explanations of various statistical distributions. This course is intended for individuals interested in advanced statistics and probability theory.
Overview
Syllabus
Statistical Distributions: Derive the F Distribution.
Statistical Distributions: Noncentral Chi-square Distribution.
Statistical Distributions: Central & Noncentral Chi square df=1 Distributions.
Statistical Distributions: Central & Noncentral t Distributions.
Statistical Distributions: NonCentral Chi-sq as Sum of Chi-sq with Poisson Weights.
Statistical Distributions: NonCentral F Distribution.
Distribution of the Sample Range.
Distribution of the Sample Median.
Exact Distribution for the Difference between 2 Binomials Variables.
Derivation of the Bivariate Poisson Distribution.
Derivation of Bivariate Normal and the Conditional Distributions.
Integrating a Bivariate Normal Distribution.
Wilcoxon Signed Rank Distribution (Part 1).
Wilcoxon Signed Rank Distribution (Part 2).
Mean and Variance of a Binomial Distribution.
Non Normal Bivariate Distribution with Both Normal Marginals.
A df=1 noncentral chi sq distribution as a Poisson weighted mixture of central chi sq distributions.
Marginal Distribution of a Poisson Gamma Mixture Distribution.
Derivation of the Dirichlet Distribution.
Marginal Distributions of a Dirichlet Distribution.
Distribution of the Mid Range Statistic.
Taught by
statisticsmatt
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Reviews
4.0 rating, based on 2 Class Central reviews
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The course was really helpful and interesting. Although I feel if it's been presented in slides or boards, it would be easier and clearer to the attendees.
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Amazing course, and beneficial as well, but if it’s possible to make the videos longer and more comprehensive
