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Maximal inequalities for g-martingales

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  • Wang, Wei

Abstract

Maximal inequalities play an important role in the classical martingale theory. This paper studies maximal inequalities for g-martingales under the g-expectation framework. Two kinds of maximal inequalities for g-martingales are obtained.

Suggested Citation

  • Wang, Wei, 2009. "Maximal inequalities for g-martingales," Statistics & Probability Letters, Elsevier, vol. 79(9), pages 1169-1174, May.
    • Handle: RePEc:eee:stapro:v:79:y:2009:i:9:p:1169-1174
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    1. Robert C. Merton, 2005. "Theory of rational option pricing," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 8, pages 229-288, World Scientific Publishing Co. Pte. Ltd..
    2. Chen, Zengjing & Peng, Shige, 2000. "A general downcrossing inequality for g-martingales," Statistics & Probability Letters, Elsevier, vol. 46(2), pages 169-175, January.
    3. Richard Rouge & Nicole El Karoui, 2000. "Pricing Via Utility Maximization and Entropy," Mathematical Finance, Wiley Blackwell, vol. 10(2), pages 259-276, April.
    4. Shige Peng, 2006. "Modelling Derivatives Pricing Mechanisms with Their Generating Functions," Papers math/0605599, arXiv.org.
    5. N. El Karoui & S. Peng & M. C. Quenez, 1997. "Backward Stochastic Differential Equations in Finance," Mathematical Finance, Wiley Blackwell, vol. 7(1), pages 1-71, January.
    6. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
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