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Measure-Free Martingales with Application to Classical Martingales

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Soft Methods for Integrated Uncertainty Modelling

Part of the book series: Advances in Soft Computing ((AINSC,volume 37))

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Abstract

The aim of this work is to give a summary of some of the known properties of sets of measure-free martingales in vector lattices and Banach spaces. In particular, we consider the relationship between such sets of martingales and the ranges of the underlying filtration of conditional expectation operators.

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Cullender, S., Kuo, WC., Labuschagne, C., Watson, B. (2006). Measure-Free Martingales with Application to Classical Martingales. In: Lawry, J., et al. Soft Methods for Integrated Uncertainty Modelling. Advances in Soft Computing, vol 37. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-34777-1_16

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  • DOI: https://doi.org/10.1007/3-540-34777-1_16

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-34776-7

  • Online ISBN: 978-3-540-34777-4

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