# AM_prior_K_Delta: Computes the prior on the 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 unnormalised weights are distributed as Gamma(γ,1)). This function can be used when the number of components is fixed to M^*, i.e. a Dirac prior assigning mass only to M^* is assumed. See \insertCiteargiento2019infinityAntMAN There are no default values.

## Usage

 `1` ```AM_prior_K_Delta(n, gamma, Mstar) ```

## Arguments

 `n` The sample size. `gamma` The `gamma` parameter of the Dirichlet distribution. `Mstar` The number of component of the mixture.

## Value

an `AM_prior` object, that is a vector of length n, reporting the values `V(n,k)` for `k=1,...,n`.

## Examples

 ```1 2 3 4 5``` ```n <- 82 gam_de <- 0.1743555 Mstar <- 12 prior_K_de <- AM_prior_K_Delta(n,gam_de, Mstar) plot(prior_K_de) ```

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