# mleAND: Maximum likelihood estimation (MLE) for the quantile-based... In QBAsyDist: Asymmetric Distributions and Quantile Estimation

## Description

The log-likelihood function \ell_n(μ,φ,α)=\ln[L_n(μ,φ,α)] and parameter estimation of θ=(μ,φ,α) in the asymmetric normal distribution by using the maximum likelihood estimation are discussed in Gijbels et al. (2019a).

## Usage

 1 mleAND(y, alpha = NULL) 

## Arguments

 y This is a vector of quantiles. alpha This is the index parameter α.

## Value

The maximum likelihood estimate of parameter θ=(μ,φ,α) of the quantile-based asymmetric normal distribution.

## References

Gijbels, I., Karim, R. and Verhasselt, A. (2019a). On quantile-based asymmetric family of distributions: properties and inference. International Statistical Review, https://doi.org/10.1111/insr.12324.

## Examples

 1 2 3 4 # Maximum likelihood estimation y=rnorm(100) mleAND(y) mleAND(y,alpha=0.5) 

QBAsyDist documentation built on Sept. 4, 2019, 1:05 a.m.