F_gam_mix {ARPobservation} | R Documentation |
Random number generation from a mixture of two gamma distributions and the related equilibrium distribution,
for use with r_behavior_stream
.
F_gam_mix(shape1, shape2, scale_ratio, mix)
shape1 |
shape parameter for first mixture component, |
shape2 |
shape parameter for second mixture component, |
scale_ratio |
ratio of first scale component to second scale component, |
mix |
mixing proportion of first component, |
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 \Gamma(x; k_1, \theta_1) + (1 - p) \Gamma(x; k_2, \theta_2),
where \Gamma(x; k, \theta)
is the cumulative distribution function of a Gamma random variable with shape k
and scale \theta
, 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.
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))