ParetoPosStable (version 1.0.1)

dPPS: Density of the Pareto Positive Stable (PPS) distribution

Description

dPPS returns values of the density for a PPS distribution

Usage

dPPS(x, lam, sc, v)

Arguments

x

vector of quantiles.

lam

first shape parameter.

sc

scale parameter.

v

second shape parameter.

Value

• The densities.

Details

See Sarabia and Prieto (2009) for the expression of the density.

References

Sarabia, J.M and Prieto, F. (2009). The Pareto-positive stable distribution: A new descriptive model for city size data, Physica A: Statistical Mechanics and its Applications, 388(19), 4179-4191.

See Also

pPPS for the cumulative distribution function, qPPS for the quantile function, hPPS for the hazard function and rPPS for the random generation of data.

Examples

print(x <- sort(rPPS(10, 1.2, 100, 2.3)))
dPPS(x, 1.2, 100, 2.3)
pPPS(x, 1.2, 100, 2.3)
qPPS(pPPS(x, 1.2, 100, 2.3), 1.2, 100, 2.3)
hPPS(x, 1.2, 100, 2.3)