Central limit theorem
Central limit theorem of 28 probability distributions using the probability distribution simulator
Some cases has been published on YouTube. Video is better to show the results because there are too many results for each case and this needs to exhibit the Central Limit Theorem property.
- Case 1, The population distribution~Normal distribution
- Case 2, The population distribution~ Uniform distribution
- Case 3, The population distribution ~ Shifted exponential distribution
- Case 4, The population distribution~ Pareto 1 distribution
- Case 5, The population distribution~ Arcsin distribution
- Case 6, The population distribution~ Bernoulli distribution (one population proportion)
- Case 7, The population distribution~ Rayleigh distribution
- Case 8, The population distribution~ Gumbel distribution
- Case 9, The population distribution~ Logistic distribution
- Case 10, The population distribution~ Weibull distribution
- Case 11, The population distribution ~ Pareto 2 distribution
- Case 12, The population distribution ~ Pareto 3 distribution
- Case 13, The population distribution ~ Triangular 2 distribution
- Case 14, The population distribution ~ Triangular 3 distribution
- Case 15, The population distribution ~ Log logistic distribution
- Case 16, The population distribution ~ Hyperbolic secant distribution
- Case 17, The population distribution ~ Kumaraswamy distribution
- Case 18, The population distribution ~ Gumbel(type 1) distribution
- Case 19, The population distribution ~ Gumbel(type 2) distribution
- Case 20, The population distribution ~ Double exponential distribution
- Case 21, The population distribution ~ Continuous Bernoulli distribution
- Case 22, The population distribution ~ Generalized logistic distribution type I
- Case 23, The population distribution ~ Exponential logarithmic distribution
- Case 24, The population distribution ~ Dagum distribution
- Case 25, The population distribution ~ Gompertz distribution
- Case 26, The population distribution ~ U quadratic distribution
- Case 27, The population distribution ~ Semicircle distribution
- Case 28, The population distribution ~ Discrete Uniform distribution