ParetoII: Pareto Type II distribution

In CoSMoS: Complete Stochastic Modelling Solution

Pareto Type II distribution

Description

Provides density, distribution function, quantile function, random value generation, and raw moments of order r for the Pareto type II distribution.

Usage

dparetoII(x, scale, shape, log = FALSE)

pparetoII(q, scale, shape, lower.tail = TRUE, log.p = FALSE)

qparetoII(p, scale, shape, lower.tail = TRUE, log.p = FALSE)

rparetoII(n, scale, shape)

mparetoII(r, scale, shape)

Arguments

x, q	vector of quantiles.
scale, shape	scale and shape parameters; the shape argument cannot be a vector (must have length one).
log, log.p	logical; if TRUE, probabilities p are given as log(p).
lower.tail	logical; if TRUE (default), probabilities are P[X \le x], otherwise P[X > x].
p	vector of probabilities.
n	number of observations. If length(n) > 1, the length is taken to be the number required.
r	raw moment order.

Value

dparetoII returns a numeric vector of density values. pparetoII returns a numeric vector of cumulative probabilities. qparetoII returns a numeric vector of quantiles. rparetoII returns a numeric vector of random deviates. mparetoII returns the raw moment of order r.

See Also

fitDist, moments

Examples

## plot the density

ggplot(data.frame(x = c(0, 20)),
       aes(x)) +
  stat_function(fun = dparetoII,
                args = list(scale = 1,
                            shape = .3),
                colour = "royalblue4") +
  labs(x = "",
       y = "Density") +
  theme_classic()

CoSMoS documentation built on May 8, 2026, 1:08 a.m.