paf.boot: Bootstrapping the PaF income polarization index

In DER: Income Polarization Index

Bootstrapping the PaF income polarization index

Description

Bootstrapping the PaF income polarization index

Usage

paf.boot(y, a, R = 1000)

Arguments

y	A numeric vector with income data.
a	The value of \alpha. This can be a number only, between 0.25 and 1.
R	The number of bootstrap resamples to perform.

Details

The function compute the PaF index of Duclos, Esteban and Ray (2004) for a specific value of \alpha, the alienation and identification components, the 1 + normalized covariance, and also their bootstrap estimates, the estimated bias, the estimated standard error of each and the percentile bootstrap confidence interval for the PaF index are returned.

Value

A list including:

boot	A matrix with the bootstrap estimates.
index	The estimates.
info	A matrix with: the bootstrap based estimates, the bootstrap estimated bias of the estimates, the bootstrap estimated standard errors of the estimates, and the 95% percentile bootstrap confidence intervals for each component.

Author(s)

Michail Tsagris.

R implementation and documentation: Michail Tsagris [e-mail].

References

Duclos J. Y., Esteban, J. and Ray D. (2006). Polarization: concepts, measurement, estimation. In The Social Economics of Poverty (pp. 54–102). Routledge.

Duclos J. Y., Esteban, J. and Ray D. (2004). Polarization: concepts, measurement, estimation. Econometrica, 72(6): 1737–1772.

See Also

paf, paf2.boot

Examples

y <- rgamma(100, 10, 0.01)
paf.boot(y, 0.25)

DER documentation built on April 12, 2025, 1:45 a.m.