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Using HILDA data for the years 2001, 2006, 2010, 2014 and 2017, we computeposterior probabilities for dominance for all pairwise comparisons of incomedistributions in these years. The dominance criteria considered are Lorenzdominance and first and second order stochastic dominance. The incomedistributions are estimated using an infinite mixture of gamma densityfunctions, with posterior probabilities computed as the proportion of Markovchain Monte Carlo draws that satisfy the inequalities that define the dominancecriteria. We find welfare improvements from 2001 to 2006 and qualifiedimprovements from 2006 to the later three years. Evidence of an orderingbetween 2010, 2014 and 2017 cannot be established.

Posterior Probabilities for Lorenz and Stochastic Dominance of Australian Income Distributions