qpareto1: Quantile function of the Pareto 1 distribution

In freakonometrics/TopIncomes: Estimation of Top Incomes Using Pareto Models

Description

Quantile function of the Pareto 1 distribution

Usage

qpareto1(p, mu, alpha = 1/xi, xi = 1/alpha)

Arguments

p	numeric, (probabilities) vector
mu	numeric, lower bound, default is 1
alpha	numeric, tail index
xi	numeric, inverse of alpha

Value

the quantile function of the Pareto 1 distribution at points p

See Also

dpareto1, ppareto1 and rpareto1

Examples

qpareto1(.5, 1, alpha=1.5)
1.587401
# expected value of a Pareto1(1,1.5)
integrate(function(x) qpareto1(x, 1, alpha=1.5),0,1)
# theoretical expected value
1*(1.5)/(1.5-1)

freakonometrics/TopIncomes documentation built on July 7, 2019, 8:06 a.m.