03:24

The Exponential Family of Distributions

06:20

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

04:44

Joint Random Variables - Marginal Distributions - Worked Example

05:06

Discrete Random Variables - Expectation Of Difference of Values

06:54

Confidence Intervals for Differences In Proportions - Worked Examples

03:07

Decision Theory - Decision Making with Loss Functions

05:29

Discrete Random Variables - Distribution of Pairwise Minima - Worked Example

07:45

Information Theory - Marginal and Joint Entropy Calculations

15:36

Difference In Proportions - Hypothesis Testing Worked Example

10:04

Solving Integral Equations with Laplace Transforms

05:36

Mixed Probability Distributions

09:15

Random Variables - Mixed Probability Distributions

08:31

Random Variables : Cumulative Distribution Functions of Maxima and Minima

07:43

Lognormal Distribution - Worked Example

10:50

Gamma Distribution - Electricity Comsumption Example

15:45

Matrices

10:17

The Weibull Distribution - Worked Example

12:26

Simulation with Random Number - Actuarial Example

08:59

Random Number Generations - The Weibull Distribution

04:40

The Pareto Type II Distribution - Median and Mean

12:47

Survival Models - Cox Regression Model

11:42

Survival Analysis - Kaplan Meier Estimates (Lightbulb Example)

12:26

Survival Analysis - Nelson Aalen Estimates

12:33

Survival Analysis - Kaplan Meier Survival Estimates

15:23

Survival Analysis - Kaplan Meier Estimates

09:22

Random Number Generation

08:41

The One-Way ANOVA model - worked example

07:56

Moment Generating Functions

05:14

Gamma Distribution - Worked Example

07:35

Expectation of the Sample Variance

06:55

Negative Binomial Distribution - Worked Example

10:36

ANOVA procedures - Calculating the Least Significant Difference

04:44

Random Variables: Law of Total Variance

09:09

Summation of Uniform Random Variables

07:13

Compound Poisson Distribution - Worked Example with Exponential Random Variable

06:24

Confidence Intervals for Poisson Random Variables - Worked Example

10:21

Random Variables - Variances and Covariances

07:44

Compound Poisson Distribution - Worked Example

06:17

Cumulant Generating Functions - Determining mean and variance

07:40

Compound Poisson Distribution - Worked Example

04:43

Binomial Distribution - Deriving the probability and moment generating functions

06:22

Poisson Approximation of the Binomial Distribution - Worked Example

04:09

Compound Probability Distributions - Central Limit Theorem

07:11

Correlation Of Random Variables - Worked Example

05:18

Confidence Intervals for Poisson Variables

03:51

Poisson Distribution - Normal Approximation (Worked Example)

11:38

Chi Square Goodness of Fit Test for the Poisson Distribution

11:48

Joint Probability Distributions of Discrete Random Variables.

15:27

Joint Distribution of Random Variables | Worked Example

11:11

Game Theory - Two Player Games

14:30

Wilcoxon Rank Sum Test (Non-Parametric Hypothesis Tests)

12:58

Survival Analysis - Tutorial Question on Maximum Likelihood Estimates

09:55

Geometric Distribution with Chi Square Test for Goodness of Fit

12:01

The Wilcoxon Signed Rank Test (Memory Exam Example Part B)

06:40

Non Parametric Statistical Tests - The Sign Test (Memory Exam Example Part A)

16:27

Joint Distributions of Discrete Random Variables

09:32

Joint Probability Density Functions of Continuous Random Variables

04:28

Poisson Random Variables: Confidence Interval for Poisson Processes

06:51

Normal Approximation of Binomial Distribution - Specifying Continuity Corrections

09:26

Conditional Probability Worked Example (Medical Costs)