Poverty dominance analysis uses stochastic dominance to provide rankings of distributions in terms of poverty which are not sensitive to the choice of poverty line. This analysis is carried out for Ireland using Household Budget Survey data for 1987 and 1994 including tests for the statistical significance of the results. We find that for a wide range of absolute poverty lines, poverty in Irela...

This paper proposes a dominance approach to study well-being inequality across countries at the world level. We consider a class of wellbeing indices based on the three attributes considered in the HDI (Human Development Index). Indices are required to satisfy preference for egalitarian marginal distributions of income, health and education, inclination for less correlation between attributes a...

Poverty measures are used to measure poverty levels or degrees of poverty in a population. Stochastic dominance refers to a set of relations between distributions. Stochastic dominance orders of poverty measures have been discussed by many authors in the literature. In this paper, definition of stochastic dominance is introduced and used to order poverty measures. Hypotheses testing on stochast...

We offer a formulation of linear ordinary differential equations midway between what one encounters in a first undergraduate ODE course and what one encounters in a graduate Differential Geometry course (in the latter instance under the heading of “connections”). Analogies with elementary linear algebra are emphasized; no familiarity with Differential Geometry is assumed.

The Battle of Midway is widely regarded as the most important naval battle of the Pacific Campaign of World War II. Between 4 and 7 June 1942, approximately one month after the Battle of the Coral Sea, two months after Doolittle's Raid and six months after Japan's attack on Pearl Harbor, the United States Navy decisively defeated an Imperial Japanese Navy (IJN) attack against Midway Atoll, infl...

Probabilistic reasoning goes a long way in many popular board games. Abbott and Richey [1] and Ash and Bishop [2] identify the most profitable properties in Monopoly and Tan [3] derives battle strategies for RISK. In RISK, the stochastic progress of a battle between two players over any of the 42 countries can be described using a Markov Chain. Theory for Markov Chains can be applied to address...