Sarabia: Functional form of Lorenz curve : Sarabia (1997)

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

Description

Functional form of Lorenz curve : Sarabia (1997)

Usage

Sarabia(p, pi1, pi2, a1, a2)

Arguments

p	numeric, vector of probabilities
pi1	numeric, between 0 and 1
pi2	numeric, between 0 and 1
a1	numeric, greater than 1
a2	numeric, between 0 and 1

Value

The Sarabia (1997)'s functional form of Lorenz curve at the point p

L(p) = pi1*p + pi2*p^a1 + (1 - pi1 - pi2)*(1 - (1-p)^a2)

where 0 ≤ pi1, pi2 ≤ 1, a1 ≥ 1 and 0 < a2 < 1.

References

Sarabia (1997), A hierarchy of Lorenz curves based on the generalized Tukey’s lambda distribution

See Also

KP, RGKO, Arnold, Ortega, Chotikapanich, Rohde

Examples

Sarabia(0.5, 0.1, 0.7, 1.8, 0.3)
0.2885717

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