Uses Newton-Raphson to estimate the parameters of the Gumbel distribution.
mlgumbel(x, na.rm = FALSE, ...)
mlgumbel
returns an object of class
univariateML
.
This is a named numeric vector with maximum likelihood estimates for mu
and s
and the following attributes:
model
The name of the model.
density
The density associated with the estimates.
logLik
The loglikelihood at the maximum.
support
The support of the density.
n
The number of observations.
call
The call as captured my match.call
shape
and sigma
.
a (non-empty) numeric vector of data values.
logical. Should missing values be removed?
sigma0
is an optional starting value defaulting to 1
.
rel.tol
is the relative accuracy requested, defaults to
.Machine$double.eps^0.25
. iterlim
is a positive integer
specifying the maximum number of iterations to be performed before the
program is terminated (defaults to 100
).
For the density function of the Gumbel distribution see Gumbel.
Johnson, N. L., Kotz, S. and Balakrishnan, N. (1995) Continuous Univariate Distributions, Volume 2, Chapter 22. Wiley, New York.
Gumbel for the Gumbel density.