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Approximative solutions of best choice problems

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	Approximative solutions of best choice problems
2.	Creator	Author's name, affiliation, country	Andreas Faller; University Freiburg; Germany
2.	Creator	Author's name, affiliation, country	Ludger Rüschendorf; University Freiburg; Germany
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	best choice problem; optimal stopping; Poisson process
3.	Subject	Subject classification	60 G40; 62 L15
4.	Description	Abstract	We consider the full information best choice problem from a sequence $X_1,\dots, X_n$ of independent random variables. Under the basic assumption of convergence of the corresponding imbedded point processes in the plane to a Poisson process we establish that the optimal choice problem can be approximated by the optimal choice problem in the limiting Poisson process. This allows to derive approximations to the optimal choice probability and also to determine approximatively optimal stopping times. An extension of this result to the best $m$-choice problem is also given.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)
7.	Date	(YYYY-MM-DD)	2012-07-17
8.	Type	Status & genre	Peer-reviewed Article
8.	Type	Type
9.	Format	File format	PDF
10.	Identifier	Uniform Resource Identifier	http://ejp.ejpecp.org/article/view/2172
10.	Identifier	Digital Object Identifier	10.1214/EJP.v17-2172
11.	Source	Journal/conference title; vol., no. (year)	Electronic Journal of Probability; Vol 17
12.	Language	English=en	en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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