A note on max-sum equivalence

作者:Li Jinzhu; Tang Qihe*
来源:Statistics & Probability Letters, 2010, 80(23-24): 1720-1723.
DOI:10.1016/j.spl.2010.07.015

摘要

For finitely many independent real-valued random variables, if their maximum follows a subexponential distribution, then the tail probabilities of their sum and maximum are asymptotically equivalent.