Return the estimated mixture proportions
get_estimated_pi(m, dimension = c("cov", "grid", "all"))the mash result
indicates whether you want the mixture proportions for the covariances, grid, or all
a named vector containing the estimated mixture proportions.
If the fit was done with `usepointmass=TRUE` then the first element of the returned vector will correspond to the null, and the remaining elements to the non-null covariance matrices. Suppose the fit was done with $K$ covariances and a grid of length $L$. If `dimension=cov` then the returned vector will be of length $K$ (or $K+1$ if `usepointmass=TRUE`). If `dimension=grid` then the returned vector will be of length $L$ (or $L+1$). If `dimension=all` then the returned vector will be of length $LK$ (or $LK+1$). The names of the vector will be informative for which combination each element corresponds to.