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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 Y_{i} 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) = ae^{–ax} | 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, b≤a, c≤a |
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 Y_{i} 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 Y_{i} 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 |
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