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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Liftings and the construction of stochastic processes
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by Donald L. Cohn PDF
Trans. Amer. Math. Soc. 246 (1978), 429-438 Request permission

Abstract:

It is shown that if the continuum hypothesis holds, then the use of liftings to construct modifications of stochastic processes can replace measurable processes with nonmeasurable ones. The use of liftings to choose the paths, rather than the random variables, of a stochastic process is investigated.
References
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Additional Information
  • © Copyright 1978 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 246 (1978), 429-438
  • MSC: Primary 60G05; Secondary 46G15
  • DOI: https://doi.org/10.1090/S0002-9947-1978-0515549-3
  • MathSciNet review: 515549