The "Book of Animations" 
on your computer.............  

The Animations in
Alphabetical order..............


 

 

 

 

LIST OF THE 49 ANIMATIONS   (by Themes)

 

 

Red arrows () point towards animations in the Free Area (Glossary)

Red arrows  () point towards animations in the Pay Area (Tutorials)

The same animation may appear at several places in the list.

 

 

 

 

The Animations come in 4 groups:

 

 

  Probability distributions

  Statistics

 

  Geometry

 

  Data Modeling

 

 

 

Probability distributions


Animations on Probability Distributions follow the same general pattern :

 

 

 

Discrete Distributions

 

 

Binomial distribution

 

Binomial     (Calculator)

 

Indépendant binomial distributions
                         (conditionally to their sum)

 

Negative binomial distribution

 

Geometric distribution

 

Hypergeometric distribution

 

Poisson distribution

 

 

 

 

Continuous Distributions

 

 

Cauchy (or Lorentz) distribution

 

Exponential distribution               (Basic properties)

 

Exponential distribution               (Maximum Likelihood                                                                                         estimation of the mean)

 

Exponential distribution               (Weak memoryless property)

 

Exponential distribution               (Strong memoryless property)

 

Exponential distributions             (Min. of independent)

 

Exponential distributions             (Proba. to be the first to fail)

 

Exponential distribution               (Distribution of spacings)
                                                                                       (Expectation of max)

 

Exponential distribution               Distributions  of X1 and of X2 
                                                                                       conditionally to X1 < X2 

 

Gamma distribution                     (as sum of exponential r.v.)

 

Normal distribution                      (Distribution of the mean)

 

Normal distribution                      (Estimation of µ and s˛)

 

Normal distribution                      (with normally distributed mean)

 

Normal distribution (bivariate)

 

Order statistics of the uniform distribution

 

Uniform distribution                   (Four illustrated problems)

 

 

 

 

Distributions derived from the normal distribution

 

 

Chi-2 distribution

 

Fisher's F distribution

 

Student's T distribution

 

 

 

 

Sampling

 

 

Distribution of the sample mean of an exponential distribution

 

Distribution of the sample mean of a normal distribution

 

Central Limit Theorem

 
 

Statistics

 

 

Bias                    (The sample mean is an unbiased estimator)

 

Bootstrap

 

Confidence interval

 

Histogram                          (and the bias-variance tradeoff)

 

Independent estimators

 

Maximum Likelihood                 (Exponential distribution)

 

Maximum Likelihood                 (Normal distribution)

 

Monte-Carlo simulation

 
 

 Geometry

Main geometric properties of a sample or a distribution.
 

 

Barycenter

 

Covariance and Correlation Coefficient

 

Covariance matrix

 

Inertia of a cloud of points

 

Kullbak-Leibler distance

 

Least squares line

 

Mean (of a sample)

 

Probability density and distribution function

 

Standard deviation

 

Standardization

 


 

 

Modeling

 

 

Dimensionalty reduction

 

 

Bias-variance tradeoff

 

Fisher's linear discriminant

 

Linear regression

 

 

Intercept (Distribution of the)

 

Slope (Distribution of the)

 

Weighted Least Squares

 

 

The "Book of Animations" on your computer