The definition given in this article is the most general in use, and includes all distributions encompassed by the alternative definitions, as well as those distributions such as log-normal that possess all their power moments, yet which are generally considered to be heavy-tailed.
Is Burr distribution heavy tailed?
figure 2a and figure 2b also indicate that Burr distribution has right-skewed and heavy-tailed probability density function.
Which distribution has the heaviest tail?
The blue curve is for a Gamma(3) distribution, which has the same variance. Eventually the blue curve always exceeds the red curve, showing that this Gamma distribution has a heavier tail than this Poisson distribution.