Lalley, S. P. and Lorden, G. (1986) A control problem arising in the sequential design of experiments. Annals of Probability, 14 (1). pp. 136-172. ISSN 0091-1798. https://resolver.caltech.edu/CaltechAUTHORS:LALap86
![]()
|
PDF
See Usage Policy. 2MB |
Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:LALap86
Abstract
The Pele problem. Starting from an initial point x not in his playing field, a football player is to dribble onto the field. Due to irregularities in the surface on which the player is dribbling, and perhaps also to small inconsistencies in his kick, the movement of the ball has a “random” component; moreover, a kick with the left foot tends to have a somewhat different effect than a kick with the right foot. The player’s objective is to move the ball onto the playing field with as few kicks as possible.
Item Type: | Article | ||||||
---|---|---|---|---|---|---|---|
Related URLs: |
| ||||||
Additional Information: | © 1986 Institute of Mathematical Statistics. Received February 1984; revised May 1985. | ||||||
Subject Keywords: | controlled random walk; first passage problem; martingale | ||||||
Issue or Number: | 1 | ||||||
Record Number: | CaltechAUTHORS:LALap86 | ||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:LALap86 | ||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
ID Code: | 2107 | ||||||
Collection: | CaltechAUTHORS | ||||||
Deposited By: | Tony Diaz | ||||||
Deposited On: | 03 May 2006 | ||||||
Last Modified: | 02 Oct 2019 22:50 |
Repository Staff Only: item control page