Description Usage Arguments Details Value Examples
Create an F distribution
1 | FisherF(df1, df2, lambda = 0)
|
df1 |
Numerator degrees of freedom. Can be any positive number. |
df2 |
Denominator degrees of freedom. Can be any positive number. |
lambda |
Non-centrality parameter. Can be any positive number.
Defaults to |
We recommend reading this documentation on https://alexpghayes.github.io/distributions, where the math will render with additional detail.
In the following, let X be a Gamma random variable
with parameters
shape
= α and
rate
= β.
Support: x \in (0, ∞)
Mean: \frac{α}{β}
Variance: \frac{α}{β^2}
Probability density function (p.m.f):
f(x) = \frac{β^{α}}{Γ(α)} x^{α - 1} e^{-β x}
Cumulative distribution function (c.d.f):
f(x) = \frac{Γ(α, β x)}{Γ{α}}
Moment generating function (m.g.f):
E(e^(tX)) = \Big(\frac{β}{ β - t}\Big)^{α}, \thinspace t < β
A FisherF
object.
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