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OALib Journal期刊
ISSN: 2333-9721
费用：99美元
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关于\,$\vecg$\,-期望的几个不等式
Keywords: 倒向随机微分方程,$g$\,-期望,Markov不等式,Chebyshev不等式,Cantelli不等式
Abstract:
运用倒向随机微分方程与\,$g$\,-期望的相关性质,证明了关于\,$g$\,-期望的\,Markov\,不等式、Chebyshev\,不等式和\,Cantelli\,不等式.
| [1] | equation in fiance[J]. Mathematical Finance, 1997, 7: 1-71.
|
| [2] | {6}
|
| [3] | 李文娟. 非可加概率和倒向随机微分方程的研究~[D]. 山东: 山东大学, 2009.
|
| [4] | {7}
|
| [5] | LI W J, CHEN Z J. Laws of large numbers of negatively correlated
|
| [6] | random variables for capacities[J]. Acta Mathematicae Applicatae
|
| [7] | Sinica, 2011, 27: 749-760.
|
| [8] | {8}
|
| [9] | STIRZAKER David. Probability and Random Variables: A beginner''s
|
| [10] | guide[M]. Cambridge: Cambridge University Press, 1999.
|
| [11] | {1}
|
| [12] | PARDOUX E, PENG S. Adapted solution of a backward stochastic
|
| [13] | differential equation[J]. Insurance: Systems and Control Letters,
|
| [14] | 90, 14: 55-61.
|
| [15] | {2}
|
| [16] | PENG S G. Backward SDE and related $g$-expectation[G]//
|
| [17] | EI KAROUI N, MAZLIAK L. Backward Stochastic Differential Equations.
|
| [18] | Pitman Res Notes Math Ser. Harlow: Longman, 1997, 364: 141-159.
|
| [19] | {3}
|
| [20] | JIANG L. Convexity, translation invariance and subadditivity for
|
| [21] | \,$g$\,expectations and related risk measures[J]. Annals of Applied
|
| [22] | Probability, 2008, 18: 245-258.
|
| [23] | {4}
|
| [24] | {5}
|
| [25] | El KAROUI N, PENG S, QUENEZ M C. Baskward stochastic differential
|
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