MSE representative points are those points that better represent theoriginal continuous distribution under mean square error criterion. Check Fang and Pan (2023) article A Review of Representative Points of Statistical Distributions and Their Applications for more details.
| Input a distribution (pdf) in the box below (R sytax) | |
| Normal Distribution | Log Normal Distribution |
| Beta-Normal Distribution | Generalized normal distribution |
| Skew-Normal Distribution | Alpha-Skew-Normal Distribution |
| Log-Skew-Normal Distribution | Mixtrue of two normal |
| Inverse Gaussian Distribution | Arcsine-Gaussian Distribution |
| Beta Distribution | Beta Prime Distribution |
| Gamma Distribution | Laplace Distribution |
| Asymmetric Laplace Distribution: Univariate | Beta Laplace distribution |
| Chi-square Distribution | Exponential Distribution |
| F Distribution | Logistic Distribution |
| Student's t distribution | Skew t distribution |
| Weibull Distribution | Generalized Extreme Value Distribution |
| The Gumbel Distribution | Double Exponential (Skew Laplace) |
| Double Gaussian (Two-Piece Normal) distribution | Double Logistic distribution |
| Pareto distribution | |