Density and random generation for the Beta-binomial distribution with parameters size, mu, and theta.
rbetabinom(n = 1, size, prob, theta)dbetabinom(x, size, prob, theta, log = FALSE)
Returns a vector of length n containing random variates drawn from the Beta-binomial distribution.
Returns a vector (of length equal to the number of columns of x) containing the probabilities of observing each column of x given the specified parameters (size, prob, theta).
integer; number of random variates to generate.
size parameter of the binomial distribution
mean of the Beta distribution
Beta distribution dispersion parameter
vector of non-negative integer quantiles
logical; if TRUE, return logarithm(s) of probabilities.
An interface for C codes using these functions is provided by the package. Visit the package homepage to view the pomp C API document.
A variable \(X\) is Beta-binomially distributed if \(X\sim{\mathrm{Binomial}(n,P)}\) where \(P\sim{\mathrm{Beta}(\mu,\theta)}\). Using the standard \((a,b)\) parameterization, \(a=\mu\,\theta\) and \(b=(1-\mu)\,\theta\).
More on implementing POMP models:
Csnippet,
accumvars,
basic_components,
covariates,
dinit_spec,
dmeasure_spec,
dprocess_spec,
emeasure_spec,
eulermultinom,
parameter_trans(),
pomp-package,
pomp_constructor,
prior_spec,
rinit_spec,
rmeasure_spec,
rprocess_spec,
skeleton_spec,
transformations,
userdata,
vmeasure_spec