Arnold: Functional form of Lorenz curve : Arnold (1986)

In EnoraBelz/Inequality: Estimation of Inequality Measures from Quantile Data

Description

Functional form of Lorenz curve : Arnold (1986)

Usage

Arnold(p, a, b)

Arguments

p	numeric, vector of probabilities
a	numeric, positive
b	numeric, positive

Value

The Arnold (1986)'s functional form of Lorenz curve at the point p

L(p) = (p*(1 + (a-1)*p))/(1 + (a-1)*p + b*(1-p))

where a, b > 0 and a - b < 1.

References

Arnold (1986), A class of hyperbolic Lorenz curves

See Also

KP, RGKO, Ortega, Chotikapanich, Sarabia, Rohde

Examples

Arnold(0.5, 1.2, 2.2)
0.3333333

EnoraBelz/Inequality documentation built on Oct. 30, 2019, 5:37 p.m.