The Exponential Family of Distributions

Continuous Random Variables - Expected values and Unbiased Estimation - Worked Example

Joint Random Variables - Marginal Distributions - Worked Example

Discrete Random Variables - Expectation Of Difference of Values

Confidence Intervals for Differences In Proportions - Worked Examples

Decision Theory - Decision Making with Loss Functions

Discrete Random Variables - Distribution of Pairwise Minima - Worked Example

Information Theory - Marginal and Joint Entropy Calculations

Difference In Proportions - Hypothesis Testing Worked Example

Solving Integral Equations with Laplace Transforms

Mixed Probability Distributions

Random Variables - Mixed Probability Distributions

Random Variables : Cumulative Distribution Functions of Maxima and Minima

Lognormal Distribution - Worked Example

Gamma Distribution - Electricity Comsumption Example

Matrices

The Weibull Distribution - Worked Example

Simulation with Random Number - Actuarial Example

Random Number Generations - The Weibull Distribution

The Pareto Type II Distribution - Median and Mean

Survival Models - Cox Regression Model

Survival Analysis - Kaplan Meier Estimates (Lightbulb Example)

Survival Analysis - Nelson Aalen Estimates

Survival Analysis - Kaplan Meier Survival Estimates

Survival Analysis - Kaplan Meier Estimates

Random Number Generation

The One-Way ANOVA model - worked example

Moment Generating Functions

Gamma Distribution - Worked Example

Expectation of the Sample Variance