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 | |