summary.mpPLMIX function

Summary of the MAP estimation for a Bayesian mixture of Plackett-Luce models

summary method for class mpPLMIX. It provides summaries for the MAP estimation of a Bayesian mixture of Plackett-Luce models.

## S3 method for class 'mpPLMIX'
summary(object, digits = 2, ...)

Arguments

• object: Object of class mpPLMIX returned by the mapPLMIX or mapPLMIX_multistart function.
• digits: Number of decimal places for rounding the summaries.
• ...: Further arguments passed to or from other methods (not used).

Returns

A list of summaries for the mpPLMIX class object:

• MAP_w: Numeric vector with the MAP estimates of the $G$ mixture weights. Returned only when when $G>1$.

• MAP_p: Numeric G$$x$$K matrix with the MAP estimates of the component-specific support parameters.

• MAP_modal_orderings: Numeric G$$x$$K matrix with the estimated modal orderings of each mixture component.

• group_distr: Numeric vector with the relative frequency distribution of the mixture component memberships based on MAP allocation. Returned only when when $G>1$.

• perc_conv_rate: Numeric scalar with the percentage of MAP algorithm convergence over the multiple starting points. Returned only when summary.mpPLMIX is applied to the output of the mapPLMIX_multistart function.

Examples

## Summary of the MAP procedure with a single starting point
data(d_carconf)
MAP <- mapPLMIX(pi_inv=d_carconf, K=ncol(d_carconf), G=3)
summary(MAP)

## Summary of the MAP procedure with 5 starting points
MAP_multi <- mapPLMIX_multistart(pi_inv=d_carconf, K=ncol(d_carconf), G=3, n_start=5)
summary(MAP_multi)

Author(s)

Cristina Mollica and Luca Tardella