ugompertz: unit-Gompertz distribution

In AndrMenezes/unitModalReg: Unit Modal Parametric Regression Models

Description

Density function, distribution function, quantile function, random number generation function for the unit-Gompertz distribution re-parametrized in terms of the mode.

Usage

dugompertz(x, mu, phi, log = FALSE)

pugompertz(q, mu, phi, lower.tail = TRUE, log.p = FALSE)

qugompertz(p, mu, phi, lower.tail = TRUE, log.p = FALSE)

rugompertz(n, mu, phi)

Arguments

x, q	vector of positive quantiles.
mu	location parameter indicating the mode.
phi	shape parameter.
log, log.p	logical; If TRUE, probabilities p are given as log(p).
lower.tail	logical; If TRUE, (default), P(X ≤q x) are returned, 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.

Value

dugompertz gives the density, pugompertz gives the distribution function, qugompertz gives the quantile function and rugompertz generates random deviates.

Invalid arguments will return an error message.

Author(s)

André Felipe B. Menezes [e-mail]

Examples

set.seed(6969)
x <- rugompertz(n = 1e4, mu = 0.5, phi = 1.0)
R <- range(x)
S <- seq(from = R[1], to = R[2], by = 0.01)
hist(x, prob = TRUE, main = 'unit-gompertz distribution')
lines(S, dugompertz(x = S, mu = 0.5, phi = 1.0), col = 2)
plot(ecdf(x))
lines(S, pugompertz(q = S, mu = 0.5, phi = 1.0), col = 2)
plot(quantile(x, probs = S), type = "l")
lines(qugompertz(p = S, mu = 0.5, phi = 1.0), col = 2)

AndrMenezes/unitModalReg documentation built on March 12, 2021, 5:24 a.m.