E(0) index is called the mean logarithmic deviation. E(1) is called the Theil Index, by
the name of the author who first proposed it in 1967. Both indexes, however, share an
undesirable feature, i.e., not being defined if there are zero incomes. Therefore, in a
distribution with all zero incomes except for the last, their maximum value cannot be
calculated directly. Rather, it can only be calculated by replacing zero incomes with
arbitrary «very small incomes». However,