On the best order of observation in optimal stopping problems

Author:

Gilat David

Abstract

For optimal stopping problems in which the player is allowed to choose the order of the random variables as well as the stopping rule, a notion of order equivalence is introduced. It is shown that different (non-degenerate) distributions cannot be order-equivalent.This result unifies and generalizes two theorems of a similar nature recently obtained by Hill and Hordijk (1985).

Publisher

Cambridge University Press (CUP)

Subject

Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability

Reference3 articles.

1. Prophet inequalities and order selection in optimal stopping problems

2. Gilat D. (1985) A prophet inequality with order selection for two independent random variables.

3. Selection of order of observation in optimal stopping problems

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