Based on the score the data obtained was used to calculate Sorenson's similarity coefficient, Shannon's diversity index (11), Range weighted richness (12), Pielou's evenness index (13), Pareto

Lorenz curve (14) and Moving window analysis (15).

The comparative visual and graphical display of empirical and parametric

Lorenz curves of all the considered distribution models for both of our data sets is provided.

One could use classic

Lorenz curves to compare a premium to a loss distribution.

5 (the axes scale from 0 to 1), G=2A so that the Gini coefficient is determined by A:

Lorenz curves further from the equality diagonal (larger A) imply higher G values and thus greater income inequality, and

Lorenz curves closer to the equality diagonal (smaller A ) indicate lower Ginis.

Figure 2 gives the

Lorenz curve for low-wage densities at the $12 per hour low-wage threshold.

x], then the

Lorenz curve, also called curve of concentration, corresponding to X can be defined (Gastwirth, 1971) as:

Ahmed and Ludlow (1989) estimated problem of inequality by using Coefficient of Variation, Logarithmic Variance, Gini-Coefficient, Atkinson Indices and the

Lorenz Curves for 1979 and 1984-85.

In section 2 we will study the distribution of population with respect to area in these KAS using Hoover index and

Lorenz curves.

Let the area under the

Lorenz curve be denoted as L--it is the area bounded from below by the horizontal axis and from above by the

Lorenz curve.

Lorenz curves may be constructed from grouped data using interpolation techniques or may be presumed to follow a particular parametric form and fit to tabulated data.

Service-sector

Lorenz curves are located in Panels A and C of Figure 7.

For Elliptical

Lorenz curves these conditions are equivalent to [alpha]< 0, e < 0, d [greater than or equal to] 0 and a + d [less than or equal to] 1 (Villasenor and Arnold,1989).