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What Built-In Distribution Shapes Are Available?

The following table is a list of available built-in random number distribution shapes. 

  1. beta
  2. betaprime
  3. cauchy
  4. chi
  5. chisquare
  6. erlang
  7. exponential
  8. fishersnedecor
  9. fishertippett
  10. gamma
  11. laplace
  12. lognormal
  13. normal
  14. pareto
  15. power
  16. rayleigh
  17. studentst
  18. triangle
  19. weibull
  20. markovchain
  21. custom
  22. uniform

Not all of these distributions are fully documented at the time of writing this KB article, but the table below has extra information on the major distributions. The other distribution shaped will be added over time. Until then - if you define them in a model leaving the arguments parameter blank, the error report details the required arguments and URL link to more information.

Distribution Name

distributionShape attribute value

distributionArguments attribute values

Distribution Details

Beta

beta

alpha, beta

http://en.wikipedia.org/wiki/Beta_distribution

BetaPrime

betaprime

alpha, beta

http://en.wikipedia.org/wiki/Beta_prime_distribution

Cauchy

cauchy

alpha, gamma

http://en.wikipedia.org/wiki/Cauchy_distribution

Chi

chi

degrees of freedom (k)

http://en.wikipedia.org/wiki/Chi_distribution

ChiSquare

chisquare

degrees of freedom (k)

http://en.wikipedia.org/wiki/Chi-square_distribution

LogNormal

lognormal

mean (mu), standard deviation (sigma)

http://en.wikipedia.org/wiki/Log-normal_distribution

Normal

normal

mean (mu), standard deviation (sigma)

http://en.wikipedia.org/wiki/Normal_distribution

Rayleigh

rayleigh

sigma

http://en.wikipedia.org/wiki/Rayleigh_distribution

Triangular

triangle

lowest value (alpha), highest value (beta), mean (gamma)

http://en.wikipedia.org/wiki/Triangular_distribution

Uniform

uniform

minimum value (alpha), maximum value (beta)

http://en.wikipedia.org/wiki/Uniform_distribution_%28continuous%29

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