Weibull distribution maximum likelihood estimation

Uses Newton-Raphson to estimate the parameters of the Weibull distribution.

Usage

mlweibull(x, na.rm = FALSE, ...)

Arguments

x: a (non-empty) numeric vector of data values.
na.rm: logical. Should missing values be removed?
...: shape0 is an optional starting value for the shape parameter. reltol 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).

Value

mlweibull returns an object of class univariateML. This is a named numeric vector with maximum likelihood estimates for shape and scale 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

Details

For the density function of the Weibull distribution see Weibull.

References

Johnson, N. L., Kotz, S. and Balakrishnan, N. (1995) Continuous Univariate Distributions, Volume 1, Chapter 21. Wiley, New York.

Examples

BIC(mlweibull(precip))
#> [1] 573.3096