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- Article] ANALYSIS OF CASINO SHELF SHUFFLING MACHINES
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DocNo of ILP: 530
Doc. Type: Article
Title: ANALYSIS OF CASINO SHELF SHUFFLING MACHINES
Authors: Diaconis, P; Fulman, J; Holmes, S
Full Name of Authors: Diaconis, Persi; Fulman, Jason; Holmes, Susan
Keywords by Author: Riffle shuffling; testing for randomness; valleys in permutations
Keywords Plus: ENRICHED P-PARTITIONS; RIFFLE SHUFFLES; HYPERPLANE ARRANGEMENTS; PERMUTATION STATISTICS; SYMMETRIC FUNCTIONS; DYNAMICAL-SYSTEMS; ASYMPTOTIC THEORY; CYCLE STRUCTURE; LIMIT MEASURES; MARKOV-CHAINS
Abstract: Many casinos routinely use mechanical card shuffling machines. We were asked to evaluate a new product, a shelf shuffler. This leads to new probability, new combinatorics and to some practical advice which was adopted by the manufacturer. The interplay between theory, computing, and real-world application is developed.
Cate of OECD: Mathematics
Year of Publication: 2013
Business Area: casino
Detail Business: casino
Country: USA
Study Area:
Name of Journal: ANNALS OF APPLIED PROBABILITY
Language: English
Country of Authors: [Diaconis, Persi] Stanford Univ, Dept Math, Stanford, CA 94305 USA; [Diaconis, Persi; Holmes, Susan] Stanford Univ, Dept Stat, Stanford, CA 94305 USA; [Fulman, Jason] Univ So Calif, Dept Math, Los Angeles, CA 90089 USA
Press Adress: Diaconis, P (reprint author), Stanford Univ, Dept Math, Stanford, CA 94305 USA.
Email Address: diaconis@math.stanford.edu; fulman@usc.edu; susan@stat.stanford.edu
Citaion:
Funding: NSF [DMS-08-04324, DMS-08-02082]; National Security Agency [H98230-08-1-0133]; National Institutes of Health [R01 GM086884]
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Number of Citaion: 65
Publication: INST MATHEMATICAL STATISTICS
City of Publication: CLEVELAND
Address of Publication: 3163 SOMERSET DR, CLEVELAND, OH 44122 USA
ISSN: 1050-5164
29-Character Source Abbreviation: ANN APPL PROBAB
ISO Source Abbreviation: Ann. Appl. Probab.
Volume: 23
Version: 4
Start of File: 1692
End of File: 1720
DOI: 10.1214/12-AAP884
Number of Pages: 29
Web of Science Category: Statistics & Probability
Subject Category: Mathematics
Document Delivery Number: 181OK
Unique Article Identifier: WOS:000321678200014
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