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  • Author: kityvn
  • Date: 7-02-2015, 14:18
7-02-2015, 14:18

Probability - Educator.com [35 Webrips (mkv)]

Category: Tutorials



Dr. William Murray walks you through Probability from simple counting problems to Calculus-based continuous distributions. Every lesson begins with an overview of formulas and dives into tons of examples you will likely encounter in class. Dr. Murray focuses on the understanding and application of formulas rather than derivations. Other topics include Expected Value, Normal Distribution, and Multivariate Distributions through Correlation and Central Limit Theorem.
Dr. William Murray walks you through Probability from simple counting problems to Calculus-based continuous distributions. Every lesson begins with an overview of formulas and dives into tons of examples you will likely encounter in class. Dr. Murray focuses on the understanding and application of formulas rather than derivations. Other topics include Expected Value, Normal Distribution, and Multivariate Distributions through Correlation and Central Limit Theorem.

I. Probability by Counting
Experiments, Outcomes, Samples Spaces, Events 59:30
Combining Events: Multiplication & Addition 1:02:47
Choices: Combinations & Permutations 56:03
Inclusion & Exclusion 43:40
Independence 46:09
Bayes' Rule 1:02:10
II. Random Variables
Random Variables & Probability Distribution 38:21
Expected Value (Mean) 46:14
Variance & Standard Deviation 47:23
Markov's Inequality 26:45
Tchebysheff's Inequality 42:11
III. Discrete Distributions
Binomial Distribution (Bernoulli Trials) 52:36
Geometric Distribution 52:50
Negative Binomial Distribution 51:39
Hypergeometric Distribution 36:27
Poisson Distribution 52:19
IV. Continuous Distributions
Density & Cumulative Distribution Functions 57:17
Mean & Variance for Continuous Distributions 36:18
Uniform Distribution 32:49
Normal (Gaussian) Distribution 1:03:54
Gamma Distribution (with Exponential & Chi-square) 1:08:27
Beta Distribution 52:45
Moment-Generating Functions 51:58
V. Multivariate Distributions
Bivariate Density & Distribution Functions 50:52
Marginal Probability 42:38
Conditional Probability & Conditional Expectation 1:02:24
Independent Random Variables 51:39
Expected Value of a Function of Random Variables 37:07
Covariance, Correlation & Linear Functions 59:50
VI. Distributions of Functions of Random Variables
Distribution Functions 1:07:35
Transformations 1:00:16
Moment-Generating Functions 1:18:52
Order Statistics 1:04:56
Sampling from a Normal Distribution 1:00:07
The Central Limit Theorem 1:09:55

https://www.educator.com/mathematics/probability/murray/










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