In this handout we review results concerning representation of partial orders via stochastic orders and investigate their applications to some classes of stochastic dominance conditions applied in inequality, poverty and welfare measurement. The results obtained in an unidimensional framework are extended to multidimensional analysis. In particular we provide an overview of the main issues conc...

Using the unit data from the second round of the Indian Human Development Survey (IHDS-II), 2011-2012, which covered 42,152 households, this paper examines the association between multidimensional poverty, household environmental deprivation and short-term morbidities (fever, cough and diarrhoea) in India. Poverty is measured in a multidimensional framework that includes the dimensions of educa...

This paper proposes a new index of multidimensional poverty, called the Global Correlation Sensitive Poverty Index (G-CSPI), which has three interesting features. First, it encompasses dimensions: decent work, education and access to drinking water sanitation, largely overlap with list ideal dimensions obtained by expanding Constitutional Approach, although does not include direct health measur...

Standard indicators of wellbeing such as the QALY for health and GDP per capita for economic development have been increasingly regarded as being too narrow in focus. There is a need to develop multidimensional measures of wellbeing that encompass the full range of factors that make life worth living. This study is part of a project that aims at developing a multidimensional index based on Sen'...

This paper analyzes the stability of a class of discrete linear multidimensional (MD) systems, whose solutions are path dependent and may not be uniquely specified by initial conditions. Based on the concept of solvable Lie algebra and a new comparison principle, it presents a simple necessary and sufficient condition for exponential stability of the MD systems in terms of the spectral radius o...