QBAsyDist (version 0.1.2)

LRTest: Likelihood ratio test to test for symmetry.

Description

The likelihood ratio test to test for symmetry, in the context of a framework of quantile-based asymmetric family of densities is discussed in Gijbels et al. (2019d).

Usage

LRTest(y, f)

Arguments

y

This is a vector of quantiles.

f

This is the reference density function \(f\) which is a standard version of a unimodal and symmetric around 0 density.

Value

The likelihood ratio test statistic with \(P\)-value.

References

Gijbels, I., Karim, R. and Verhasselt, A. (2019d). Test of symmetry and a quantile-based asymmetric family of densities, Manuscript.

Examples

# NOT RUN {
# Example: Let F be a standard normal cumulative distribution function then
f_N<-function(s){dnorm(s, mean = 0,sd = 1)} # density function of N(0,1)
rnum=rnorm(100)
LRTest(rnum,f=f_N)
# }