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Distribution Library

 

UNIPASS™  has a library of 43 Continuous Distributions and 6 Discrete Distributions that may be used to define 4 different classes of random variables. For each distribution:

 

  • High level precision consistent to 14 decimal points

  • Wide range of CDF values stretching from 2.8x10-55 to 0.9999999999999 (i.e., F[-15.615] to F[7.385])

  • Flexible input methods (up to 9 methods) to define each random variable

 

Table 1: UNIPASS™ Distribution Library 

Deterministic

Beta

Binomial*

Chi-square

Discrete Uniform*

Double exponential

Exponential

F distribution

Gamma

Geometric*

Gumbel   (Type I Largest)

Inverted Chi-square

Inverted Gamma

Logistic

Lognormal

Maxwell

Negative Binomial*

Normal

Pareto

Poisson*

Rayleigh

Scaled Inverse Chi-square

Student t

Triangular

Truncated Chi-Square

Truncated Double Exponential

Truncated Exponential

Truncated F Distribution

Truncated Gamma

Truncated Gumbel (Type I Largest)

Truncated Logistic

Truncated Lognormal

Truncated Maxwell

Truncated Normal

Truncated Pareto

Truncated Rayleigh

Truncated Student t

Truncated Type I Smallest

Truncated Type II Largest

Truncated Weibull (Two parameters)

Type I Smallest

Type II Largest

Uniform

User Provided PDF/CDF Points for user’s defined continuous distributions

User Provided PMF/CMF Points for user’s defined discrete distributions*

User Provided PDF/CDF FORTRAN Functions

Weibull (Three Parameters)

 

*The ones ended with * are discrete, otherwise are continuous.

 

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Variable Definition Window

 

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PDF Plot Window

 

cdf_plot_win.jpg (93326 bytes)

CDF Plot Window

 

Last Updated 02/08/10

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