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Optimal stopping and almost sure convergence of random sequences

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Publication:4188516
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DOI10.1007/BF00537527zbMath0403.60044OpenAlexW1985745167MaRDI QIDQ4188516

Hans-Jürgen Engelbert, Alfred Engelbert

Publication date: 1979

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00537527


zbMATH Keywords

Stopping TimesOptimal StoppingAlmost Sure Convergence of Random Sequences


Mathematics Subject Classification ID

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


Related Items (4)

A Fatou equation for a two-parameter stochastic process ⋮ Optimal predictable transforms ⋮ Stationary policies and Markov policies in Borel dynamic programming ⋮ Some special properties of conditional expectation



Cites Work

  • A 'stopped' proof of convergence
  • Amarts: A class of asymptotic martingales. A: Discrete parameter
  • Some inequalities for randomly stopped variables with applications to pointwise convergence
  • Pointwise convergence in terms of expectations
  • Optimal Stopping and Experimental Design
  • A "Fatou Equation" for Randomly Stopped Variables
  • Applications of Martingale System Theorems
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