A possible estimate for the fourth central moment

[Ad VanderVen]

TL;DR

A possible estimate for the third central moment is the product of the skewness and the standard deviation raised to the third power. Is it also true that a possible estimate for the fourth central moment is the product of the kurtosis and the standard deviation raised to the fourth power?

A possible estimate for the third central moment is the product of the skewness and the standard deviation raised to the third power. Is it also true that a possible estimate for the fourth central moment is the product of the kurtosis and the standard deviation raised to the fourth power?

 

[Office_Shredder]

I thought that was the definition of skewness/ the third central moment, not an approximation.