dEEG | R Documentation |
Density, distribution function, quantile function,
random generation and hazard function for the Extended Exponential Geometric distribution
with parameters mu
and sigma
.
dEEG(x, mu, sigma, log = FALSE) pEEG(q, mu, sigma, lower.tail = TRUE, log.p = FALSE) qEEG(p, mu, sigma, lower.tail = TRUE, log.p = FALSE) rEEG(n, mu, sigma) hEEG(x, mu, sigma)
x, q |
vector of quantiles. |
mu |
parameter. |
sigma |
parameter. |
log, log.p |
logical; if TRUE, probabilities p are given as log(p). |
lower.tail |
logical; if TRUE (default), probabilities are P[X <= x], otherwise, P[X > x]. |
p |
vector of probabilities. |
n |
number of observations. |
The Extended Exponential Geometric distribution with parameters mu
,
and sigma
has density given by
f(x)= μ σ \exp(-μ x)(1 - (1 - σ)\exp(-μ x))^{-2},
for x > 0, μ > 0 and σ > 0.
dEEG
gives the density, pEEG
gives the distribution
function, qEEG
gives the quantile function, rEEG
generates random deviates and hEEG
gives the hazard function.
Johan David Marin Benjumea, johand.marin@udea.edu.co
almalki2014modificationsRelDists
\insertRefadamidis2005extensionRelDists
old_par <- par(mfrow = c(1, 1)) # save previous graphical parameters ## The probability density function par(mfrow=c(1,1)) curve(dEEG(x, mu = 1, sigma =3), from = 0, to = 10, col = "red", las = 1, ylab = "f(x)") ## The cumulative distribution and the Reliability function par(mfrow = c(1, 2)) curve(pEEG(x, mu = 1, sigma =3), from = 0, to = 10, ylim = c(0, 1), col = "red", las = 1, ylab = "F(x)") curve(pEEG(x, mu = 1, sigma =3, lower.tail = FALSE), from = 0, to = 6, ylim = c(0, 1), col = "red", las = 1, ylab = "R(x)") ## The quantile function p <- seq(from = 0, to = 0.99999, length.out = 100) plot(x = qEEG(p = p, mu = 1, sigma =0.5), y = p, xlab = "Quantile", las = 1, ylab = "Probability") curve(pEEG(x, mu = 1, sigma =0.5), from = 0, add = TRUE, col = "red") ## The random function hist(rEEG(1000, mu = 1, sigma =1), freq = FALSE, xlab = "x", ylim = c(0, 0.9), las = 1, main = "") curve(dEEG(x, mu = 1, sigma =1), from = 0, add = TRUE, col = "red", ylim = c(0, 0.8)) ## The Hazard function par(mfrow=c(1,1)) curve(hEEG(x, mu = 1, sigma =0.5), from = 0, to = 2, col = "red", ylab = "Hazard function", las = 1) par(old_par) # restore previous graphical parameters
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