dMOEIW | R Documentation |
Density, distribution function, quantile function,
random generation and hazard function for the Marshall-Olkin Extended Inverse Weibull distribution
with parameters mu
, sigma
and nu
.
dMOEIW(x, mu, sigma, nu, log = FALSE) pMOEIW(q, mu, sigma, nu, lower.tail = TRUE, log.p = FALSE) qMOEIW(p, mu, sigma, nu, lower.tail = TRUE, log.p = FALSE) rMOEIW(n, mu, sigma, nu) hMOEIW(x, mu, sigma, nu)
x, q |
vector of quantiles. |
mu |
parameter. |
sigma |
parameter. |
nu |
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 Marshall-Olkin Extended Inverse Weibull distribution mu
,
sigma
and nu
has density given by
f(x) = \frac{μ σ ν x^{-(σ + 1)} exp\{{-μ x^{-σ}}\}}{\{ν -(ν-1) exp\{{-μ x ^{-σ}}\} \}^{2}},
for x > 0.
dMOEIW
gives the density, pMOEIW
gives the distribution
function, qMOEIW
gives the quantile function, rMOEIW
generates random deviates and hMOEIW
gives the hazard function.
Amylkar Urrea Montoya, amylkar.urrea@udea.edu.co
okasha2017RelDists
old_par <- par(mfrow = c(1, 1)) # save previous graphical parameters ## The probability density function curve(dMOEIW(x, mu=0.6, sigma=1.7, nu=0.3), from=0, to=2, col="red", ylab="f(x)", las=1) ## The cumulative distribution and the Reliability function par(mfrow=c(1, 2)) curve(pMOEIW(x, mu=0.6, sigma=1.7, nu=0.3), from=0.0001, to=2, col="red", las=1, ylab="F(x)") curve(pMOEIW(x, mu=0.6, sigma=1.7, nu=0.3, lower.tail=FALSE), from=0.0001, to=2, col="red", las=1, ylab="R(x)") ## The quantile function p <- seq(from=0, to=0.99999, length.out=100) plot(x=qMOEIW(p, mu=0.6, sigma=1.7, nu=0.3), y=p, xlab="Quantile", las=1, ylab="Probability") curve(pMOEIW(x, mu=0.6, sigma=1.7, nu=0.3), from=0, add=TRUE, col="red") ## The random function hist(rMOEIW(n=1000, mu=0.6, sigma=1.7, nu=0.3), freq=FALSE, xlab="x", las=1, main="") curve(dMOEIW(x, mu=0.6, sigma=1.7, nu=0.3), from=0.001, to=4, add=TRUE, col="red") ## The Hazard function curve(hMOEIW(x, mu=0.5, sigma=0.7, nu=1), from=0.001, to=3, col="red", ylab="Hazard function", las=1) par(old_par) # restore previous graphical parameters
Add the following code to your website.
For more information on customizing the embed code, read Embedding Snippets.