migration.weighted.gini.out: Migration-weighted Out-migration Gini Index
Description
The Migration-weighted Out-migration Gini Index is a weighted version of the Out-migration Field Gini Index (migration.gini.out) "according to the zone of destination's share of total migration and the mean of the weighted values is computed as":
$$MWG^O = \frac{ \sum_i G^O_i \frac{\sum_j M_{ij}}{\sum_{ij} M_{ij}}}{n}$$
optionally passed (precomputed) Migration In-migration Gini Index
References
M. Bell, M. Blake, P. Boyle, O. Duke-Williams, P. Rees, J. Stillwell and G. Hugo (2002) Cross-National Comparison of Internal Migration. Issues and Measures. Journal of the Royal Statistical Society. Series A (Statistics in Society)165, 435--464