  Using HILDA data for the years 2001, 2006, 2010, 2014 and 2017, we compute
posterior probabilities for dominance for all pairwise comparisons of income
distributions in these years. The dominance criteria considered are Lorenz
dominance and first and second order stochastic dominance. The income
distributions are estimated using an infinite mixture of gamma density
functions, with posterior probabilities computed as the proportion of Markov
chain Monte Carlo draws that satisfy the inequalities that define the dominance
criteria. We find welfare improvements from 2001 to 2006 and qualified
improvements from 2006 to the later three years. Evidence of an ordering
between 2010, 2014 and 2017 cannot be established.
