MSE Representative Points for Different Statistical Distributions


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.


User Guide       Probability density (pdf) and cumulative distribution functions (cdf)

■ Instruction

  1.     ■   Choose a distribution or write you own distribution (R Syntax)
  2.     ■   Change the parameters for the distribution corresponding to your requirements
  3.     ■   Input the number of points required and click RUN

■ Please choose a distribution:

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


Number of Points: Display details

■ References


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