AM_prior_K_Pois: Computes the prior number of clusters In AntMAN: Anthology of Mixture Analysis Tools

Description

This function computes the prior on the number of clusters, i.e. occupied components of the mixture for a Finite Dirichlet process when the prior on the component-weights of the mixture is a Dirichlet with parameter `gamma` (i.e. when unnormalized weights are distributed as Gamma(γ,1)). This function can be used when the prior on the number of components is Shifted Poisson of parameter `Lambda`. See \insertCiteargiento2019infinityAntMAN for more details.

Usage

 `1` ```AM_prior_K_Pois(n, gamma, Lambda) ```

Arguments

 `n` The sample size. `gamma` The `gamma` parameter of the Dirichlet distribution. `Lambda` The `Lambda` parameter of the Poisson.

Details

There are no default values.

Value

an `AM_prior` object, that is a vector of length n, reporting the values of the prior on the number of clusters induced by the prior on `M` and `w`, i.e. `p^*_k` for `k=1,...,n`. See \insertCiteargiento2019infinityAntMAN for more details.

Examples

 ```1 2 3 4 5``` ```n <- 82 Lambda <- 10 gam_po <- 0.1550195 prior_K_po <- AM_prior_K_Pois(n,gam_po,Lambda) plot(prior_K_po) ```

AntMAN documentation built on July 23, 2021, 5:08 p.m.