Slider for generalized logistic — genlog

Make a generalized logistic distribution slider to compare histogram with theoretical distribution

Usage

genlog_slider(data, return_var = NULL, mu_range = 10, skew = F)

Arguments

data: vector of data to compare.
return_var: a char string to name where parameters are assigned
mu_range: a number to setup the minimum and maximum range value of the mu parameter
skew: logical, if TRUE, a model with skewness should be used..

Value

The function plots a interactive graphic in RStudio Viewer panel.

Also, the parameters a, b, p and mu can be returned to return_var if asked in the graphic.

Details

There is a small gear in the top left of the graphic where you can slide the parameters @param a,b,p,mu. The used distribution for this package is given by: $$f(x) = ((a + b*(1+p)*(abs(x-mu)^p))*exp(-(x-mu)*(a+b*(|x-mu|^p)))) / ((exp(-(x-mu)*(a + b* (|x-mu|^p)))+1)^2)$$ If the density function is not printed it is not defined for these parameters.

For skew = T the model used is

The used distribution for is given by: $$f(x) = 2*((a + b*(1+p)*(abs(x-mu)^p))*exp(-(x-mu)*(a+b*(abs(x-mu)^p))))/ ((exp(-(x-mu)*(a + b* (abs(x-mu)^p)))+1)^2) * ((exp(-(skew*(x-mu))*(a+b*(abs(skew*(x-mu))^p)))+1)^(-1)) $$#' for more information about the model (help(dgenlog_sk)) If the density function is not printed it is not defined for these parameters.

help(dgenlog) for parameters restrictions.

This function requires RStudio to run.

References

Rathie, P. N. and Swamee, P. K (2006) On a new invertible generalized logistic distribution approximation to normal distribution, Technical Research Report in Statistics, 07/2006, Dept. of Statistics, Univ. of Brasilia, Brasilia, Brazil.

Azzalini, A. (1985) A class of distributions which includes the normal ones. Scandinavian Journal of Statistics.

Examples

if (FALSE) {
datas <- rgenlog(1000)
if (manipulate::isAvailable()) {
  genlog_slider(datas, return_var = 'parameters')
 }
}