MAPEmle: Modified Alpha Power Distribution

In mhsayed2021/MAPfit: pdf, cdf, quantile function, rth moment, mode, generate random variates, MLE of parameters, and goodness-of-fit measurse for the MAP distribution

Modified Alpha Power Distribution

Description

MLE of parameters, KS test statistic and p-value, AIC,BIC, HQIC, -log-likelihood function and convergence status for MAPE distribution

Usage

MAPEmle(data,start)

Arguments

data	a vector of data values for which the distribution is to be fitted
start	named vector or list of the starting values of the distribution parameters

Value

Maximum likelihood estimates, standard error, 95% CI, Cramer-von Misses statistic, Anderson Darling statistic, Kolmogorov Smirnov test statistic and p-value, Akaike Information Criterion, Consistent Akaikes Information Criterion, Bayesian Information Criterion, Hannan-Quinn information criterion, minimum value of the negative log-likelihood function and convergence status when the MAPE distribution is fitted to some data.

Author(s)

Mohamed Hussein

References

Hussein, M.; Elsayed, H.; Cordeiro, G.M. A New Family of Continuous Distributions: Properties and Estimation. Symmetry 2022, 14, 276. https://doi.org/10.3390/sym14020276

Examples

#{
data<-rMAP(n=500,par=c(rate=2,alpha=3,beta=2),distr="exp")
MAPEmle(data,start=c(1.1,1.1,1.1))
#}

mhsayed2021/MAPfit documentation built on July 1, 2023, 9:19 p.m.