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| The "Book
of Animations" |
The Animations in |
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LIST OF THE 61 ANIMATIONS (by Themes) |
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Red arrows ( |
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Blue arrows ( |
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The same animation may appear at several places in the list. |
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The Animations come in 4 groups: |
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Animations on Probability Distributions follow the same
general pattern :
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Discrete Distributions |
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Binomial distribution |
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Binomial (Calculator) |
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Indépendant binomial distributions
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Negative binomial distribution |
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Geometric distribution |
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Hypergeometric distribution |
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Poisson distribution (Comparison with binomial distribution) |
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Poisson distribution (Simulation) |
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Poisson process |
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Continuous Distributions |
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Beta distribution |
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Cauchy (or Lorentz) distribution |
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Exponential distribution (Basic properties) |
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Exponential distribution (Maximum Likelihood estimation of the mean) |
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Exponential distribution (Weak memoryless property) |
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Exponential distribution (Strong memoryless property) |
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Exponential distributions (Min. of independent) |
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Exponential distributions (Proba. to be the first to fail) |
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Exponential distribution (Distribution
of spacings)
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Exponential distributions Distributions
of X1 and of X2
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Exponential distribution Distributions of the record values |
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Gamma distribution (Shape, adjustable parameters) |
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Gamma distribution (as sum of exponential r.v.) |
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Mahalanobis distance |
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Normal distribution (Distribution of the sample mean) |
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Normal distribution (Estimation of µ and σ˛) |
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Normal distribution (with normally distributed mean) |
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Normal distribution (bivariate) |
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Order statistics |
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Probability integral transformation |
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Order statistics of the uniform distribution |
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Uniform distribution (Four
illustrated problems)
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Uniform distribution (Distributions of the order statistics) |
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Uniform distribution (Distributions of the record values) |
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Uniform distribution (Distributions of product and ratio) |
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Distributions derived from the normal distribution |
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Chi-2 distribution |
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Fisher's F distribution |
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Student's T distribution |
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Sampling |
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Asymptotic distribution of a LRT statistic |
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Distribution of the sample mean of an exponential distribution |
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Distribution of the sample mean of a normal distribution |
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Central Limit Theorem |
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Marginal distribution |
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Order statistics |
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Records |
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Bias (The sample mean is an unbiased estimator) |
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Bias (Unbiased, UMVUE, lowest MSE) |
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Bootstrap |
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Chi-2 statistic (comparison with G˛ statistic) |
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Confidence interval |
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Fisher-Irwin test (Identical Bernoulli populations) |
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Histogram (and the bias-variance tradeoff) |
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Independent estimators |
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Likelihood Ratio Test : asymptotic distribution |
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Maximum Likelihood (Exponential distribution) |
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Maximum Likelihood (Normal distribution) |
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Monte-Carlo simulation |
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t test (2 independent samples) |
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Main geometric properties of a sample or a distribution.
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Barycenter |
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Covariance and Correlation Coefficient |
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Covariance matrix |
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Inertia of a cloud of points |
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Kullbak-Leibler distance |
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Least squares line |
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Mean (of a sample) |
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Probability density and distribution function |
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Standard deviation |
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Standardization |
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Dimensionalty reduction |
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Bias-variance tradeoff |
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Fisher's linear discriminant |
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Linear regression |
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Intercept (Distribution of the) |
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Slope (Distribution of the) |
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Weighted Least Squares |
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The "Book of Animations" on your computer |
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) point
to animations in the Free Area (Glossary)
) point
to animations in the Pay Area (Tutorials)
Probability distributions