Computes E(rho^2 | alpha) = (alpha + 6) / ((alpha+1)(alpha+2)(alpha+3)).
Usage
mean_rho_sq_given_alpha(alpha)
Arguments
- alpha
Numeric vector; concentration parameter(s) (must be positive).
Value
Numeric vector; E(rho^2 | alpha).
Details
Used internally for variance computation via the identity:
Var(rho|alpha) = E(rho^2|alpha) - E(rho|alpha)^2