A matrix approach to the Gini index decomposition by subgroup and by income source

Decomposing changes in CO 2 emission inequality over time: The roles of re-ranking and changes in per capita CO 2 emission disparities

“…(1) can be expressed in matrix form by following the approach proposed by (Mussini 2013a) for the measurement of income inequality. For this purpose, the following notation is used.…”

“…This decomposition clearly separates the roles of population change and per capita CO 2 emission change. To derive the matrix decomposition, we follow the matrix approach proposed by Mussini for decomposing the Gini index by subgroup and source (Mussini, 2013a). This requires the generalization of the Mussini matrix approach to take into account the population shares representing the weighting system to be used when calculating the inequality index.…”

A subgroup decomposition of the inequality change over time

“…income class, gender, geographical area, etc.). The subgroup decomposition is developed using the matrix approach proposed by Mussini (2013) for the multidimensional decomposition of the Gini index (Mussard, 2004;Mussard and Savard, 2012).…”

On Measuring Income Polarization: An Approach Based on Regression Trees

“…The SHIW is carried out every two years, and each survey sample comprises households interviewed for the first time and households interviewed in previous surveys (panel households). The SHIW data is one of the most frequently used information source to investigate income inequality in Italy (Mussini, 2013;Zenga 2007), since the survey collects information on income and socioeconomic status for every household member. The sample size of the 2010 survey is 7,951 households, including 19,836 individuals.…”