F_gam_mix: Mixture of two gamma distributions and related equilibrium...

Description Usage Arguments Value Examples

View source: R/equilibrium_distributions.R

Description

Random number generation from a mixture of two gamma distributions and the related equilibrium distribution, for use with r_behavior_stream.

Usage

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F_gam_mix(shape1, shape2, scale_ratio, mix)

Arguments

shape1

shape parameter for first mixture component, k_1

shape2

shape parameter for second mixture component, k_2

scale_ratio

ratio of first scale component to second scale component, θ_1 / θ_2

mix

mixing proportion of first component, p

Value

Object of class eq_dist with components r_gen and r_eq.

The function r_gen(n, mean) generates random deviates from a mixture of two gamma distributions with specified mean, shape1, shape2, scale_ratio, and mix. The cumulative distribution function is given by

F(x) = p Γ(x; k_1, θ_1) + (1 - p) Γ(x; k_2, θ_2),

where Γ(x; k, θ) is the cumulative distribution function of a Gamma random variable with shape k and scale θ, and the scale parameters are determined by the specified mean and scale_ratio.

The function r_eq(n, mean) generates random deviates from the equilibrium distribution corresponding to the mixture of gamma distributions.

Examples

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hist(F_gam_mix(2, 2, 1 / 12, 3 / 5)$r_gen(1000, 20))
hist(F_gam_mix(2, 2, 1 / 12, 3 / 5)$r_eq(1000, 20))

ARPobservation documentation built on May 1, 2021, 1:08 a.m.