EconPapers    
Economics at your fingertips  
 

Prophet compared to gambler: additive inequalities for transforms of sequences of random variables

Frans A. Boshuizen

Statistics & Probability Letters, 1996, vol. 29, issue 1, 23-32

Abstract: Additive comparisons are given between optimal expected gains of a prophet and a gambler. A gambler knows only the past and the present and a prophet is a player with complete foresight. The optimal expected gains are obtained by betting on differences of consecutive uniformly bounded random variables. For example, if the random variables are i.i.d. and [0,1]-valued, then the difference between the prophet and the gambler is at most n/16 for a game of length n, and the bound n/16 is the best possible.

Date: 1996
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/0167-7152(95)00151-4
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:stapro:v:29:y:1996:i:1:p:23-32

Ordering information: This journal article can be ordered from
http://www.elsevier.com/wps/find/supportfaq.cws_home/regional
https://shop.elsevie ... _01_ooc_1&version=01

Access Statistics for this article

Statistics & Probability Letters is currently edited by Somnath Datta and Hira L. Koul

More articles in Statistics & Probability Letters from Elsevier
Bibliographic data for series maintained by Catherine Liu ().

 
Page updated 2025-03-19
Handle: RePEc:eee:stapro:v:29:y:1996:i:1:p:23-32