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A "Fatou Equation" for Randomly Stopped Variables

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Publication:5633378
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DOI10.1214/aoms/1177693082zbMath0226.60069OpenAlexW1993485536MaRDI QIDQ5633378

William D. Sudderth

Publication date: 1971

Published in: The Annals of Mathematical Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aoms/1177693082



Mathematics Subject Classification ID

Stopping times; optimal stopping problems; gambling theory (60G40)


Related Items (12)

Some inequalities for randomly stopped variables with applications to pointwise convergence ⋮ Generalized kolmogorov inequalities for martingales ⋮ Finitely additive and measurable stochastic games ⋮ Countably additive gambling and optimal stopping ⋮ A Fatou equation for a two-parameter stochastic process ⋮ Convergence of stopped random variables ⋮ On the chance to visit a goal set infinitely often ⋮ Optimal stopping and almost sure convergence of random sequences ⋮ Several stability properties of the class of asymptotic martingales ⋮ A contribution to the theory of asymptotic martingales ⋮ Stationary policies and Markov policies in Borel dynamic programming ⋮ Some special properties of conditional expectation







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