riglmomco: Income Gap Ratio Quantile Function for the Distributions

In lmomco: L-Moments, Censored L-Moments, Trimmed L-Moments, L-Comoments, and Many Distributions

Income Gap Ratio Quantile Function for the Distributions

Description

This function computes the Income Gap Ratio for quantile function x(F) (par2qua, qlmomco). The function is defined by Nair et al. (2013, p. 230) as

G(u) = 1 - \frac{{}_\mathrm{r}\lambda_1(u)}{x(u)}\mbox{,}

where G(u) is the income gap quantile for nonexceedance probability u, x(u) is a constant for x(F = u) is the quantile for u, and {}_\mathrm{r}\lambda_1(u) is the 1st reversed residual life L-moment (rreslife.lmoms).

Usage

riglmomco(f, para)

Arguments

f	Nonexceedance probability (0 \le F \le 1).
para	The parameters from lmom2par or vec2par.

Value

Income gap ratio quantile value for F.

Author(s)

W.H. Asquith

References

Nair, N.U., Sankaran, P.G., and Balakrishnan, N., 2013, Quantile-based reliability analysis: Springer, New York.

See Also

qlmomco, rreslife.lmoms

Examples

# Let us parametize some "income" distribution.
A <- vec2par(c(123, 264, 2.11), type="gov")
riglmomco(0.5, A)
## Not run: 
F <- nonexceeds(f01=TRUE)
plot(F, riglmomco(F,A), type="l",
     xlab="NONEXCEEDANCE PROBABILITY", ylab="INCOME GAP RATIO")
## End(Not run)

lmomco documentation built on Nov. 7, 2025, 5:11 p.m.