2003 fall q 16 heavier tail

[jennyzhang]

Could anyone explain why "the inverse exponential has a heavier tail than the exponetial distribution"?

I know that it is correct. But I don't see how we could get the conclusion from "moments test." Their moments have similar domains.

Thanks in advance.

[Colymbosathon ecplecticos]

If I recall correctly, the test is called the “existence of moments” test. Perhaps it is the existence not the domain that you should be considering.