SOME PROPERTIES OF ONE-SIDED STOPPING TIMES

  • Kim, Sung-Kyun (Department of Mathematics Chungnam National University)
  • Received : 1995.06.30
  • Published : 1995.06.30

Abstract

Let ${\tau}_a$ be the first time that a perturbed random walk with extended real-valued independent and identically distributed (i.i.d.) random variables crosses a constant boundary $a{\geq}0$. For the stopping times ${\tau}_a$ we investigate some basic properties and obtain its limiting distribution as $a{\rightarrow}{\infty}$ and an upper bound of the expected stopping times E(${\tau}_a$).

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