Last data update: 2014.03.03
R: The generalized F distribution
The generalized F distribution
Description
Density and distribution function for the generalized F distribution. Warning: the distribution function pgenf
and genfHazard
are computed numerically, and may not be precise!
Usage
dgenf(x, kappa = 5, eta = 1.5, gamma = .8, lambda = 1, forceExpectation = F)
pgenf(q, kappa = 5, eta = 1.5, gamma = .8, lambda = 1, forceExpectation = F)
genfHazard(x, kappa = 5, eta = 1.5, gamma = .8, lambda = 1, forceExpectation = F)
Arguments
x, q
vector of quantiles.
kappa, eta, gamma, lambda
parameters, see 'Details'.
forceExpectation
logical; if TRUE
, the expectation of the distribution is forced to be 1 by letting theta be a function of the other parameters.
Details
The PDF for the generelized F distribution is:
f(ε)= frac{γ ε^{κ γ -1}[η+(ε/λ)^{γ}]^{-η-κ}η^{η}}{λ^{κ γ}B(κ,η)},
where B(κ,η)=frac{Γ(κ)Γ(η)}{Γ(κ+η)} is the beta function.
Results