Posterior Probabilities for Lorenz and Stochastic Dominance of Australian Income Distributions*

Stochastic Dominance Analysis of Australian Income Distributions

We apply stochastic dominance tests to investigate trends in inequality in Australia over the period 1983 to 1998. Results show significant levels of inequalities in the income and expenditure distributions for the population as a whole as well as within population groups. We further find that the impact of the government’s tax and transfer redistribution scheme varied greatly among the differe...

Stochastic Dominance Amongst Swedish Income Distributions

Sweden's income distribution for the whole population and for subgroups, including its immigrants, has been extensively studied. The interest in this area has grown with increasing availability of data, including panels. The previous studies are based on indices of inequality or mobility. While indices are useful for complete ordering and have an air of “decisiveness” about them, they lack univ...

Stochastic dominance with nonadditive probabilities

Choquet expected utility which uses capacities (i.e. nonadditive probability measures) in place of a-additive probability measures has been introduced to decision making under uncertainty to cope with observed effects of ambiguity aversion like the Ellsberg paradox. In this paper we present necessary and sufficient conditions for stochastic dominance between capacities (i.e. the expected utilit...

Transforming Probabilities without Violating Stochastic Dominance

The idea of expected utility, to transform payments into their utilities before calculating expectation, traces back at least to Bernoulli (1738). It is a very natural idea to transform, analogously, probabilities. This paper gives heuristic visual arguments to showthat the, at first sight, natural way to do this, at second thought seems questionable. At second thought a sound and natural way i...

Ranking Income Distributions with Crossing Generalised Lorenz Curves