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POVERTY REDUCTION STRATEGY TN

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A number of poverty “indexes” have been constructed in this kind of framework. Much of<br />

the initial work was done by Sen (1976, 1981), followed by Kakwani (1979), Thon<br />

(1979), and Takayama (1979). A recent measure which has gained considerable<br />

acceptance was proposed by Foster, Greer and Thorbecke (1984), known as the FGT<br />

index. Given the proliferation of poverty measures proposed in the literature, a number of<br />

survey papers have also appeared in the literature like Foster (1984), Seidl (1988),<br />

Chakravarty (1990), Sen (1979, 1983 and 1992), Kundu (1981) and Borooah (1991). A<br />

recent survey on poverty measurement (Zheng, 1997) provides a comprehensive analysis<br />

of the axiomatic framework behind different poverty measures explaining the properties<br />

of each poverty measure and the relationships among axioms and the poverty measures.<br />

While quite a number of poverty measures have been proposed in the literature,<br />

only a few have been used in actual practice. Most official estimates still use the head<br />

count ratio. Some of the important measures proposed in the poverty literature are<br />

considered below.<br />

The following symbols are used<br />

n = total population<br />

z = poverty line<br />

m = number of poor (below poverty line)<br />

y i = income (or other relevant indicator) of individual i<br />

µ = mean income of the whole population<br />

µ P = mean income of the poor<br />

Gp= Gini coefficient among the poor<br />

H = Head count ratio<br />

P = Poverty gap ratio<br />

Incomes are arranged in non-descending order:<br />

y 1 ≤ y 2 ≤ … ≤ y m < Z ≤ ym+1 ≤ … ≤ y n<br />

Most poverty measures can be seen as normalised weighted sums of poverty<br />

gaps, viz.,<br />

m<br />

P = A Σ w<br />

t=<br />

1<br />

i<br />

(z − y ) + B<br />

i<br />

Some of the important poverty measures are defined below:<br />

(1)<br />

i. Head Count Ratio<br />

The head count ratio is defined as<br />

238

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