Statistical Distributions for the Random Function (MathScript RT Module)

LabVIEW 2012 MathScript RT Module Help

Edition Date: June 2012

Part Number: 373123C-01

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The following table describes the statistical distributions that the LabVIEW MathScript random function supports.

Distribution Equation Parameters
beta

for 0≤x≤1
a>0, b>0
binomial

for k=0, 1, ... , a
a is a positive integer; 0≤b≤1
chi-squared

where Yi have normal independent distributions with mean 0 and variance 1, and a is the degree of freedom.
a is a positive integer
exponential P(x) = aeax a>0
F

where and have chi-square independent distributions with degrees of freedom a and b.
a and b are positive integers
gamma a>0, b>0
geometric P(k) = a(1–a)k

for k=0, 1, 2, ...
0≤a≤1
hypergeometric

where .
a, b, and c are positive integers, ba, ca
lognormal a, b>0
negative binomial

for k=0, 1, 2, ...
a is a positive integer, 0≤b≤1
noncentral F

where and are two independently-distributed variables.
a and b are positive integers, c>0
noncentral T

where X and are two independently-distributed variables, X has a normal distribution, and a is the degree of freedom.
a is a positive integer, b
noncentral chi-square

where Yi have normal independent distributions with mean √(b/a) and variance 1, and a is the degree of freedom.
a is a positive integer, b>0
normal a, b>0
Poisson

for k=0, 1, 2, ...
a>0
Rayleigh

where Yi have normal independent distributions with mean 0 and variance 1.
a>0
T

where X and are two independently-distributed variables, X has a normal distribution, and a is the degree of freedom.
a is a positive integer
discrete uniform

for k = 1, 2, ..., a
a is a positive integer
continuous uniform

for a<x<b
a<b
Weibull a>0, b>0