Are the HDI dimensions weighted equally?

The HDI assigns equal weight to all three dimension indices; the two education sub-indices are also weighted equally. The choice of weights is based on the normative assumption that all human beings value three dimensions equally. Research papers that provide a statistical justification for this approach include Noorkbakhsh (1998) and Decanq and Lugo (2009). The geometric mean has more equal ranges of variation of dimension indices than the arithmetic mean - implying that the effective weighting is more equal than it was before.