M. Goldie, Charles et Resnick, Sidney, Distributions that are both subexponential and in the domain of attraction of an extreme-value distribution, Advances in applied probability , 20(4), 1988, pp. 706-718
When does a distribution F have the property of both being in the domain of attraction of exp {.e.x} and having a second convolution-power tail equivalent to the first: https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:bina ry:20180209072207943-0992:S0001867800018334:S0001867800018334_inline1.gi f?pub-status=live . Sufficient conditions and examples are given.