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chi_distribution

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Chi Distribution

In probability theory and statistics, the chi distribution is a continuous probability distribution. The distribution usually arises when a k-dimensional vector’s orthogonal components are independent and each follow a standard normal distribution. The length of the vector will then have a chi distribution. The most familiar example is the Maxwell distribution of (normalized) molecular speeds which is a chi distribution with 3 degrees of freedom.

Probability distribution function of the Chi distribution is:

f(x,a,b,v) = exp(-1) support a < x ⇐ Inf

ParameterDescription Default value
a The location parameter0.0
b The scale parameter 1.0
v The shape parameter 2.0
1)
x-a)/b)^2/2)((x-a)/b)^(v-1)/(2^(v/2-1)bgamma(v/2
chi_distribution.1574080451.txt.gz · Last modified: 2019/11/18 13:34 by 127.0.0.1