marginalLikelihood_bySufficientStatistics.CatDP {bbricks} | R Documentation |
Generate the marginal likelihood of the following model structure:
pi|alpha \sim DP(alpha,U)
x|pi \sim Categorical(pi)
where DP(alpha,U) is a Dirichlet Process on positive integers, alpha is the "concentration parameter" of the Dirichlet Process, U is the "base measure" of this Dirichlet process, it is an uniform distribution on all positive integers.Categorical() is the Categorical distribution. See dCategorical
for the definition of the Categorical distribution.
In the case of CatDP, x can only be positive integers.
The model structure and prior parameters are stored in a "CatDP" object.
Marginal likelihood = p(x|alpha).
## S3 method for class 'CatDP' marginalLikelihood_bySufficientStatistics(obj, ss, LOG = TRUE, ...)
obj |
A "CatDP" object. |
ss |
Sufficient statistics of x. In Categorical-DP case the sufficient statistic of sample x can either be an object of type "ssCatDP" generated by sufficientStatistics(), or x itself(if x is a integer vector with all positive values). |
LOG |
Return the log density if set to "TRUE". |
... |
Additional arguments to be passed to other inherited types. |
numeric, the marginal likelihood.
CatDP
, marginalLikelihood_bySufficientStatistics.CatDP