expected_number_of_components_Dirichlet {BNPdensity}

Computes the expected number of components for a Dirichlet process.

Description

Computes the expected number of components for a Dirichlet process.

Usage

expected_number_of_components_Dirichlet(
  n,
  Alpha,
  ntrunc = NULL,
  silence = TRUE
)

Arguments

n

Number of data points

Alpha

Numeric constant. Total mass of the centering measure.

ntrunc

Level of truncation when computing the expectation. Defaults to n. If greater than n, it is fixed to n.

silence

Boolean. Whether to print the current calculation step for the Stable process, as the function can be long

Value

A real value which approximates the expected number of components

Reference: P. De Blasi, S. Favaro, A. Lijoi, R. H. Mena, I. Prünster, and M. Ruggiero, “Are Gibbs-type priors the most natural generalization of the Dirichlet process?,” IEEE Trans. Pattern Anal. Mach. Intell., vol. 37, no. 2, pp. 212–229, 2015.

Examples

expected_number_of_components_Dirichlet(100, 1.2)