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Figure from:Measures of Poverty and Inequality: A Reference Paper

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Table 2: Comparing various poverty lines for South Africa, 1993. ratio of the number of poor individuals to the total population. However, this tells us nothing

Table 2 Comparing various poverty lines for South Africa, 1993. ratio of the number of poor individuals to the total population. However, this tells us nothing

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Figure 1: The South African Lorenz curve - 1995 Table 1: Trends in income distribution — 1960 and 1980 Table 1 shows the average Gini Coefficient for various groups of countries. between 0.50 and 0.70 for countries with highly unequal income distributions (Todaro, 1997).
Figure 1: The South African Lorenz curve - 1995 Table 1: Trends in income distribution — 1960 and 1980 Table 1 shows the average Gini Coefficient for various groups of countries. between 0.50 and 0.70 for countries with highly unequal income distributions (Todaro, 1997).
Source: See Table 3 Figure 2: Comparison of some measures of inequality - 1995
Source: See Table 3 Figure 2: Comparison of some measures of inequality - 1995
Table 3: Summary of inequality measures for all households and within racial groups and locations - 1995
Table 3: Summary of inequality measures for all households and within racial groups and locations - 1995
Figure 3: Further comparisons — Coefficient of variation and Theil index - 199% Figure 4: Further comparisons — The range and Theil index - 1995 because of their differing sensitivity to incomes in different parts of the distribution.
Figure 3: Further comparisons — Coefficient of variation and Theil index - 199% Figure 4: Further comparisons — The range and Theil index - 1995 because of their differing sensitivity to incomes in different parts of the distribution.
Table 4: Gini decomposition by income source for all households and within racial groups and locations - 1995 Source: Own calculations from IES/OHS 1995 (combined. dta)
Table 4: Gini decomposition by income source for all households and within racial groups and locations - 1995 Source: Own calculations from IES/OHS 1995 (combined. dta)
The first term of the kth group can now be rewritten as while the second and third terms can be rewritten as
The first term of the kth group can now be rewritten as while the second and third terms can be rewritten as
Adding up the two previous results over the m groups we have the Theil decomposition of
Adding up the two previous results over the m groups we have the Theil decomposition of
Expressions for Po and P; can easily be derived. components of the poverty measure. Suppose there are g poor households. The variance anc
Expressions for Po and P; can easily be derived. components of the poverty measure. Suppose there are g poor households. The variance anc
From this the two components of P2 can be calculated using equation [18]. P, is the sum of equation [A13] and [A14]. Substituting (Cy) in equation [A14] with equation [A11] and simplifying gives the following.
From this the two components of P2 can be calculated using equation [18]. P, is the sum of equation [A13] and [A14]. Substituting (Cy) in equation [A14] with equation [A11] and simplifying gives the following.
Below P? is calculated directly from equation [17] and simplified. Equations [A15] and [A16] are the same, which shows the result to hold.
Below P? is calculated directly from equation [17] and simplified. Equations [A15] and [A16] are the same, which shows the result to hold.