Let X_n,…,X₁ be i.i.d. random variables with distribution function F and finite expectation. A statistician, knowing F, observes the X values sequentially and is given two chances to choose X's using stopping rules. The statistician's goal is to select a value of X as large as possible. Let V_n²...

Asymptotic results for the problem of optimal two choice stopping on an n element long i.i.d. sequence X<SUB>n</SUB>, . . . ,X<SUB>1</SUB> have previously been obtained for two of the three domains of attraction. An asymptotic result is proved for the exponential distribution, a representative from the remaining,...</sub></sub>