Open Access
August 2013 Analysis of casino shelf shuffling machines
Persi Diaconis, Jason Fulman, Susan Holmes
Ann. Appl. Probab. 23(4): 1692-1720 (August 2013). DOI: 10.1214/12-AAP884

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.

Citation

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Persi Diaconis. Jason Fulman. Susan Holmes. "Analysis of casino shelf shuffling machines." Ann. Appl. Probab. 23 (4) 1692 - 1720, August 2013. https://doi.org/10.1214/12-AAP884

Information

Published: August 2013
First available in Project Euclid: 21 June 2013

zbMATH: 1283.60013
MathSciNet: MR3098446
Digital Object Identifier: 10.1214/12-AAP884

Subjects:
Primary: 60C05
Secondary: 05A15

Keywords: Riffle shuffling , testing for randomness , valleys in permutations

Rights: Copyright © 2013 Institute of Mathematical Statistics

Vol.23 • No. 4 • August 2013
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