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March, 1976 The Stochastic Processes of Borel Gambling and Dynamic Programming
David Blackwell
Ann. Statist. 4(2): 370-374 (March, 1976). DOI: 10.1214/aos/1176343412


Associated with any Borel gambling model $G$ or dynamic programming model $D$ is a corresponding class of stochastic processes $M(G)$ or $M(D)$. Say that $G(D)$ is regular if there is a $D(G)$ with $M(D) = M(G)$. Necessary and sufficient conditions for regularity are given, and it is shown how to modify any model slightly to achieve regularity.


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David Blackwell. "The Stochastic Processes of Borel Gambling and Dynamic Programming." Ann. Statist. 4 (2) 370 - 374, March, 1976.


Published: March, 1976
First available in Project Euclid: 12 April 2007

zbMATH: 0331.93055
MathSciNet: MR405557
Digital Object Identifier: 10.1214/aos/1176343412

Primary: 49C15
Secondary: 28A05

Keywords: Borel , dynamic programming , gambling

Rights: Copyright © 1976 Institute of Mathematical Statistics

Vol.4 • No. 2 • March, 1976
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