collognorm.mle: Column-wise MLE of some univariate distributions

In Rfast2: A Collection of Efficient and Extremely Fast R Functions II

Column-wise MLE of some univariate distributions

Description

Column-wise MLE of some univariate distributions.

Usage

collognorm.mle(x)
collogitnorm.mle(x)
colborel.mle(x)
colhalfnorm.mle(x)
colordinal.mle(x, link = "logit")
colcauchy.mle(x, tol = 1e-07, maxiters = 100, parallel = FALSE)
colbeta.mle(x, tol = 1e-07, maxiters = 100, parallel = FALSE)
colunitweibull.mle(x, tol = 1e-07, maxiters = 100, parallel = FALSE)

Arguments

x	A numerical matrix with data. Each column refers to a different vector of observations of the same distribution. The values of for Lognormal must be greater than zero, for the logitnormal they must by percentages, exluding 0 and 1, whereas for the Borel distribution the x must contain integer values greater than 1. For the halfnormal the numbers must be strictly positive, while for the ordinal this can be a numerical matrix with values 1, 2, 3,..., not zeros.
link	This can either be "logit" or "probit". It is the link function to be used.
tol	The tolerance value to terminate the Newton-Fisher algorithm.
maxiters	The maximum number of iterations to implement.
parallel	Do you want to calculations to take place in parallel? The default value is FALSE

Details

For each column, the same distribution is fitted and its parameters and log-likelihood are computed.

Value

A matrix with two or three columns. The first one or the first two contain the parameter(s) of the distribution and the second or third column the relevant log-likelihood. For the ordinal a list including:

param	A matrix with the intercepts (threshold coefficients) of the model applied to each column (or variable).
loglik	The log-likelihood values.

Author(s)

Michail Tsagris and Stefanos Fafalios.

R implementation and documentation: Michail Tsagris [e-mail] and Stefanos Fafalios [e-mail].

References

N.L. Johnson, S. Kotz and N. Balakrishnan (1994). Continuous Univariate Distributions, Volume 1 (2nd Edition).

N.L. Johnson, S. Kotz and N. Balakrishnan (1970). Distributions in statistics: continuous univariate distributions, Volume 2.

Agresti, A. (2002) Categorical Data. Second edition. Wiley.

J. Mazucheli, A. F. B. Menezes, L. B. Fernandes, R. P. de Oliveira & M. E. Ghitany (2020). The unit-Weibull distribution as an alternative to the Kumaraswamy distribution for the modeling of quantiles conditional on covariates. Journal of Applied Statistics, DOI:10.1080/02664763.2019.1657813.

See Also

censpois.mle, gammapois.mle

Examples

x <- matrix( exp( rnorm(1000 * 50) ), ncol = 50)
a <- collognorm.mle(x)
x <- NULL

Rfast2 documentation built on Aug. 8, 2023, 1:11 a.m.