Invert the mean of the Dirichlet process distribution

Given a target mean \(\mu\) and a community size \(n\), finds the concentration parameter \(\alpha\) such that \(E[Y^{(n)}; \alpha] = \mu\) via uniroot.

Usage

inv_mean_dirichlet_process(mu_target, size)

Arguments

mu_target

Target mean value (scalar or vector, must be in \((1, n)\)).

size

Community size (positive integer, scalar or vector).

Value

The concentration parameter \(\alpha\) (scalar or vector).