| OCR Text |
Show 93 where J1 = n 2_ is the number of households in the t y; is the arithmetic mean sample, y; is the income of household i, and of income. The value of the GE measures ranges from n ;=1 o to oc; when the income of every person in the population is every person gets the income of J1, the coefficient of mean minimum value of O. If one person reaches its maximum value of given cc, The parameter that inequality indices income scale Armand gives weights should meet. These sensitive to changes in the lower changes that affect desirable mathematical/statistical properties more properties are: sensitive to Pigou-Dalton transfer principle, the distribution, while measures T of inequality, = a used are 0, 1 and 2: hence to distances between incomes in the lower to gaps in the upper tail. The GE Theil's some The commonest values of weight across satisfy more can independence, principle of population and anonymity (Cadwell 1995; 1983). more its weight parts of the income distribution, and GE is higher values, measures assumes in the GE class represents the a take any real value. For lower values of a, GE is tail of the distribution, and for inequality when gets all the income, then the coefficient of inequality to distances between incomes at different the upper tail. The GE exactly equal, i.e., GE(l) = a value of a=2 measures respectively, t 2_ YiJ1 ln2:i_, J1 ;=1 n as tail, a a=l gives proportionately value of a=O applies equal more weight with parameters ° and 1 become two of follows: (2) |
