Abstract: Motivated
by the recent work of the sociologist Jasso [2] dealing with status (prestige),
we analyze extensions of the classical univariate exponential distribution with
the density by adding to the expression of
density a denominator involving a square root of the form which results in smaller values of
the raw moments and of the Gini coefficient. A further generalization yielding
the density
is
also discussed.
Keywords and phrases: quantile function, moments, Gini coefficient, status theory, Shannon entropy, Rényi entropy.
