MATH 451/551: Probability
Instructors:
GuanNan Wang
Topics:
Combinatorial analysis; Discrete and continuous probability distributions; Characteristics of distributions; Sampling distributions.
Original Lecture Notes
Lecture Notes
Lecture Videos
Ch6-3-6
Joint MGF
Link
Ch6-3-5
Conditional Expectations
Link
Ch6-3-4
Conditional Expectations
Link
Ch6-3-3
Corrrelation
Link
Ch6-3-2
Covariance
Link
Ch6-3-1
Expected Values
Link
Ch6-2-2
Independence
Link
Ch6-2-1
Independence
Link
Ch6-1-4
Bivariate Distribution
Link
Ch6-1-3
Bivariate Distribution
Link
Ch6-1-2
Bivariate Distribution
Link
Ch6-1-1
Bivariate Distribution
Link
Ch5-4
Normal Distribution
Link
Ch5-3
Gamma Distribution
Link
Ch5-2
Exponential Distribution
Link
Ch5-1
Uniform Distribuution
Link
Ch4-6
Hypergeometric Distribution
Link
Ch4-5
Poisson Distribution
Link
Ch4-4
Negative Binomial Distribution
Link
Ch4-3-2
Geometric Distribution
Link
Ch4-3-1
Geometric Distribution
Link
Ch4-2
Binomial Distribution
Link
Ch4-1
Bernoulli Distribution
Link
Ch3-5
Inequalities
Link
Ch3-4-8
MGF
Link
Ch3-4-7
MGF
Link
Ch3-4-6
Moments
Link
Ch3-4-5
Variance
Link
Ch3-4-4
Variance
Link
Ch3-4-3
Properties of Expected Values
Link
Ch3-4-2
Expected Values
Link
Ch3-4-1
Expected Values
Link
Ch3-3-5
PDF and CDF
Link
Ch3-3-4
Mixtures
Link
Ch3-3-3
Transformations
Link
Ch3-3-2
CDF
Link
Ch3-3-1
CDF
Link
Ch3-2
Continuous Random Variables
Link
Ch3-1-2
Discrete Random Variables
Link
Ch3-1-1
Discrete Random Variables
Link
Ch2-6
Independent Events
Link
Ch2-5
Rule of Bayes
Link
Ch2-4
Conditional Probability
Link
Ch2-3
Computing Probabilities
Link
Ch2-2-2
Probability Axioms
Link
Ch2-2-1
Probability Axioms
Link
Ch2-1
Random Experiments, Sample Spaces, and Events
Link
Ch1-2-2
Algebra of Sets
Link
Ch1-2-1
Sets
Link
Ch1-1-2
Counting
Link
Ch1-1-1
Counting
Link