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YouTube

Probability Distributions - Mean, Variance, MGF Derivation

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Overview

This course teaches how to derive the Mean, Variance, and Moment Generating Function for various Probability Distributions such as Normal, Binomial, Poisson, and more. The course aims to enhance skills in deriving these key statistical properties and is suitable for learners interested in advanced probability theory and mathematical statistics. The teaching method involves video tutorials in English for each distribution, focusing on the derivation process step by step.

Syllabus

Normal Distribution | Derivation of Mean, Variance & Moment Generating Function (MGF) in English.
Binomial Distribution - Derivation of Mean, Variance & Moment Generating Function in English.
Bernoulli Distribution - Derivation of Mean, Variance & Moment Generating Function (English).
Poisson Distribution - Derivation of Mean, Variance & Moment Generating Function in English.
Uniform Distribution (Continuous) - Derivation of Mean, Variance & Moment Gen. Function (in English).
HyperGeometric Distribution - Derivation of Mean and Variance (English).
Negative Binomial Distribution - Derivation of Mean, Variance & Moment Generating Function (English).
Geometric Distribution - Derivation of Mean, Variance & Moment Generating Function (English).
Gamma Distribution - Derivation of Mean, Variance & Moment Generating Function (MGF) (English).
Exponential Distribution - Derivation of Mean, Variance & Moment Generating Function (MGF) (English).
Chi Squared Distribution | Derivation of Mean, Variance & Moment Generating function (MGF) (English).
Weibull Distribution | Derivation of Mean, Variance & Moments (in English).
Log-Normal Distribution | Derivation of Mean, Variance & Moments (in English).
Beta Distribution | Derivation of Mean, Variance & MGF (in English).
Double Exponential Distribution | Derivation of Mean, Variance & MGF (in English).
Derivation of Moments of Normal Distribution.
Student's t Distribution: Derivation of Mean (in English).
Student's t Distribution: Derivation of Variance (in English).
Discrete Uniform Distribution Derivation of Mean (in English).
Discrete Uniform Distribution Derivation of Variance (in English).
Discrete Uniform Distribution Derivation of MGF (in English).
Discrete Uniform Distribution - Derivation of Mean, Variance, and MGF (Simple Version).

Taught by

Computation Empire

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