EQUIVALENT CONDITIONS OF LOCAL ASYMPTOTICS FOR THE OVERSHOOT OF A RANDOM WALK WITH HEAVY-TAILED INCREMENTS

作者：Wang Kaiyong^*; Wang Yuebao; Yin Chuancun

来源：Acta Mathematica Scientia, 2011, 31(1): 109-116.

• Equivalent conditions
• asymptotics
• random walk
• renewal equation

This article gives the equivalent conditions of the local asymptotics for the overshoot of a random walk with heavy-tailed increments, from which we find that the above asymptotics are different from the local asymptotics for the supremum of the random walk. To do this, the article first extends and improves some existing results about the solutions of renewal equations.

• 出版日期2011-1
• 单位曲阜师范大学; 苏州科技大学; 苏州大学