mleGOGaU: The MLEs of GOGaU

In bistoonh/NewDists: The GOGaG and EEG family of distributions.

Description

This function calculates the MLEs of GOGaU distribution.

Usage

mleGOGaU(x, par0 = c(1 , 1, min(x)-1, max(x)+1), a = NA, b = NA, fitplot = TRUE)

Arguments

x	The value of the first shape parameter. Must be finite.
par0	Initial values for the parameters to be optimized over.
a, b	Values for fixed lower or upper limits of the GOGaU distribution. If a/b is equal to NA, it is estimated as the unknown parameter.
fitplot	logical; if TRUE, histogram and fitted GOGaU density is drawn.

Value

par	The MLEs of parameters.
loglike	The log-likelihood value corresponding to MLEs.
convergence	An integer code. 0 indicates successful completion. To see possible error codes, see the optim function.
W	The statistic Cram<c3><a9>r-von Misses.
A	The statistic Anderson Darling.
KS	Kolmogorov Smirnov test.
AIC	The value of Akaike Information Criterion.
BIC	The value of Bayesian Information Criterion.

Author(s)

Bistoon Hosseini, Mahmoud Afshari

References

Bistoon Hosseini, Mahmoud Afshari, and Morad Alizadeh. "The Generalized Odd Gamma-G Family of Distributions: Properties and Applications." Austrian Journal of Statistics 47.2 (2018): 69-89.

Examples

x = rGOGaU(n = 1000, alpha = 0.5, beta = 1.5, a = 0, b = 4.5)
mleGOGaU(x = x, a = NA, b = 4.5)

bistoonh/NewDists documentation built on May 21, 2019, 11:09 a.m.