Generalized Poverty-gap Orderings

Abstract This paper provides a characterization of new class ordinal poverty measures that are defined by means the aggregate generalized gap. To be precise, we propose to use sum differences between transformed fixed line and level income each person below as our measure. If transformation is strictly concave, resulting measure inequality averse with respect incomes poor. In analogy some existing results on measurement, show only relative (scale-invariant) members based concave power functions or natural logarithm. Moreover, allow for useful decomposition akin those examined in earlier contributions. an empirical analysis, compare logarithmic variant index two well-established alternative orderings. Unlike numerous indices appear literature, ours do not explicitly depend number poor total population size, thereby ruling out any direct influence head-count ratio comparisons.