Standard error of the coefficient of variation

[Ad VanderVen]

TL;DR

What is the standard error of the coefficient of variation in an exponential distribution?

What is the standard error of the coefficient of variation in an exponential distribution?

 

[hutchphd]

What do you think it is?

 

[Ad VanderVen]

What do you think it is?

On

https://influentialpoints.com/Training/standard_error_of_coefficient_of_variation.htm

I read:
$$SE(CV) \, = \, \frac{CV}{\sqrt{2 \, n}} \, \sqrt{1+2 \, \left(\frac{CV}{100}\right) ^2}$$
where $SE$ is the standard error, $CV$ is the coefficient of variation and $n$ is the number of observations.
However, I don't know if this formula holds for the exponential distribution.