Description Usage Arguments Details Value Note Examples
Density and random generation for the Gamma-Beta2 distribution
with shape parameters a
, c
, d
and rate parameter tau
(scale of the Beta2 distribution).
1 2 3 4 5 6 7 8 9 10 11 |
x,q |
vector of non-negative quantiles |
a,c,d |
non-negative shape parameters |
tau |
non-negative rate parameter |
... |
arguemnts passed to |
p |
vector of probabilities |
n |
number of observations to be sampled |
k |
the order of the moment |
output |
type of the |
This is the mixture distribution obtained by sampling a value y
from the Beta2 distribution with shape parameters c, d,
and scale τ and
then sampling a value from the Gamma distribution with
shape a and rate y.
The pdf involves
the Kummer confluent hypergeometric function of the second kind.
The cdf involves the generalized hypergeometric function. Its current implementation
does not work when a-d
is an integer, and also fails for many other cases.
dGB2
gives the density, pGB2
the cumulative function,
rGB2
samples from the distribution, and summary_GB2
gives a summary
of the distribution.
GB2Dist
is a generic name for the functions documented.
1 2 3 4 5 | a <- 2 ; c <- 4 ; d <- 3; tau <- 1.67
sims <- rGB2(1e6, a, c, d, tau)
mean(sims); moment_GB2(1,a,c,d,tau)
mean(sims^2); moment_GB2(2,a,c,d,tau)
summary_GB2(a,c,d,tau)
|
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