Course Contents
Probability set function. Axioms of probability. Conditional probability and independence. Total Probability and Bayes theorem. Random variables. Distribution function, probability function and probability density function. Chebyshev’s inequality. Moments, factorial moments and cumulants. Probability generating function. Moment generating function. Cumulant generating function.
Univariate distributions. Discrete Uniform, Binomial, Hypergeometric, Multinomial, Poisson, Geometric, Negative Binomial, Normal distribution and their properties, Continuous Uniform, Exponential, Gamma, Log-Normal, Double Exponential Distribution and their properties.
Course Synopsis
To discuss the concept of probability models, random variable and its functions and to familiarize students with certain parametric families of univariate density functions and their application to real world problems.
Course Learning Outcomes
The students should be able to learn the basic concept of probability and solve the application of probability related problems.
Probability explained | Independent and dependent events | Probability and Statistics | Khan Academy
View Now
[Discrete Mathematics] Axioms of Probability
View Now
Addition rule for probability | Probability and Statistics | Khan Academy
View Now
Conditional Probability With Venn Diagrams & Contingency Tables
View Now
The Law of Total Probability
View Now
Conditional probability and combinations | Probability and Statistics | Khan Academy
View Now
Basics of Probability: Unions, Intersections, and Complements
View Now
Introduction to Discrete Random Variables and Discrete Probability Distributions by jbstatistics
View Now
An Introduction to Continuous Probability Distributions
View Now
Expected Value and Variance of Discrete Random Variables
View Now
Deriving the Mean and Variance of a Continuous Probability Distribution
View Now
An Introduction to the Binomial Distribution
View Now
The Poisson Distribution: Mathematically Deriving the Mean and Variance
View Now
An Introduction to the Geometric Distribution by Jbstatistics
View Now
Moment Generating Function of Geometric Distribution, Lecture | Sabaq.pk | by Sabaq Foundation - Free Videos & Tests, Grades K-14
View Now
Mean and Variance of Geometric Distribution by Dr. Harish Garg
View Now
11 Negative Binomial Distribution & its Moment Generating Function (MGF) by This Makes It Easy
View Now
Negative Binomial Distribution - Derivation of Mean, Variance & Moment Generating Function (English) by Computation Empire
View Now
Introduction to the normal distribution | Probability and Statistics | Khan Academy
View Now
Normal Distribution | Moment Generating Function | Mean & Variance By MGF
View Now
Moments of a Normal Distribution by statisticsmatt
View Now
Point of Inflexion of Normal Distribution, Lecture | Sabaq.pk |
View Now
Uniform Distribution by A Statistical Path
View Now
Exponential Distribution by A Statistical Path
View Now
Gamma Distribution Definition by Lawrence Leemis
View Now
Gamma Distribution ( Mathematical Statistics) by Sonali Singh
View Now
Log-Normal Distribution | Derivation of Mean, Variance & Moments (in English) by Computation Empire
View Now
Double Exponential Distribution | Derivation of Mean, Variance & MGF (in English) by Computation Empire
View Now
Book Title : Introduction to Mathematical Statistics
Author : Hogg R V & Craig A T,
Edition : 7th
Publisher : Prentice-Hall International, Inc. Engle Wood Cliff, N.T.
View Now
Book Title : Introduction to the Theory of Statistics
Author : A. M. Moods, F.D Graybill and D.C. Bocs,
Edition : 3rd
Publisher : McGraw Hill International Editition
View Now
Title : Introduction to Statistical Theory
Type : Reference Book
View Introduction to Statistical Theory
Title : Theorems Chapter 1
Type : Presentation
View Theorems Chapter 1
Title : Probability function
Type : Presentation
View Probability function
Title : Probability function-I
Type : Presentation
View Probability function-I
Title : Chapter 3 Expectation
Type : Other
View Chapter 3 Expectation
Title : Chapter 4: Generating Function
Type : Other
View Chapter 4: Generating Function