LW | R Documentation |
The Log-Weibull distribution
LW(mu.link = "identity", sigma.link = "log")
mu.link |
defines the mu.link, with "log" link as the default for the mu parameter. |
sigma.link |
defines the sigma.link, with "log" link as the default for the sigma. |
The Log-Weibull Distribution with parameters mu
and sigma
has density given by
f(y)=(1/σ) e^{((y - μ)/σ)} exp\{-e^{((y - μ)/σ)}\},
for - infty
< y < infty
.
Returns a gamlss.family object which can be used to fit a LW distribution in the gamlss()
function.
Amylkar Urrea Montoya, amylkar.urrea@udea.edu.co
almalki2014modificationsRelDists
\insertRefGumbel1958RelDists
dLW
# Example 1 # Generating some random values with # known mu and sigma y <- rLW(n=100, mu=0, sigma=1.5) # Fitting the model require(gamlss) mod <- gamlss(y~1, sigma.fo=~1, family= 'LW', control=gamlss.control(n.cyc=5000, trace=FALSE)) # Extracting the fitted values for mu and sigma # using the inverse link function coef(mod, 'mu') exp(coef(mod, 'sigma')) # Example 2 # Generating random values under some model n <- 200 x1 <- runif(n, min=0.4, max=0.6) x2 <- runif(n, min=0.4, max=0.6) mu <- 1.5 - 3 * x1 sigma <- exp(1.4 - 2 * x2) x <- rLW(n=n, mu, sigma) mod <- gamlss(x~x1, sigma.fo=~x2, family=LW, control=gamlss.control(n.cyc=5000, trace=FALSE)) coef(mod, what="mu") coef(mod, what="sigma")
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