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Statistical Distributions

statisticsmatt via YouTube

Overview

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This advanced course derives central and noncentral statistical distributions, bivariate distributions, mixture distributions, and exact distributions for sample statistics. Topics include F, chi-square, t, Poisson, binomial, normal, and Dirichlet distributions.

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

Reviews

4.0 rating, based on 2 Class Central reviews

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  • Abdelghaffar Fadi A. Alawi
    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.
  • Alhan Mouhamed Ahmad Elmasri
    Amazing course, and beneficial as well, but if it’s possible to make the videos longer and more comprehensive

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