Three decay solid lines are plotted in the graph below. They are sqrt(1/n), sqrt(log(log(n))/n) and sqrt(log(n)/n) respectively.
I plot my dataset on the graph as the hdi dashed line. How to determine which decay line the hdi dashed line is closest to? In fact, for every decay line, I can multiply the hdi line by a constant to make it look very close to it. My question basically is: how to determine the decay rate for a given line?