SUPERMARTINGALE

作品数:8被引量:3H指数:1
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相关领域:理学更多>>
相关作者:任耀峰更多>>
相关机构:中国人民解放军海军工程大学更多>>
相关期刊:《Journal of Donghua University(English Edition)》《Acta Mathematicae Applicatae Sinica》《Probability, Uncertainty and Quantitative Risk》《Chinese Annals of Mathematics,Series B》更多>>
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Optimal stopping in predictable setting
《Probability, Uncertainty and Quantitative Risk》2023年第4期485-498,共14页Siham Bouhadou Astrid Hilbert Youssef Ouknine 
In this study,we delve into the optimal stopping problem by examining the p(ϕ(τ),τ∈T_(0)^(p))case in which the reward is given by a family of nonnegative random variables indexed by predictable stopping times.We ai...
关键词:Optimal stopping SUPERMARTINGALE Predictable stopping time Admissible family REWARD 
On the Ratio Inequalities for Locally Square Integrable Martingales
《Journal of Mathematical Research and Exposition》2004年第1期64-69,共6页任耀峰 
Science Research Foundation of Naval University of Engineering(E307).
In this paper, we establish some ratio inequalities for locally square inte-grable martingales, and give some extensions of the related results for continuous local martingales.
关键词:stopping time locally square integrable martingale SUPERMARTINGALE ratio inequality. 
Nonlinear Doob—Meyer Decomposition with Jumps被引量:1
《Acta Mathematica Sinica,English Series》2003年第1期69-78,共10页QingQuanLIN 
Concepts of g-supersolution, g-manrtingale, g-supermartingale are introduced, which are related to BSDE with Brownian motion and Poisson point process. A strict comparison theorem, monotonic limit theorem related to t...
关键词:g SUPERSOLUTION g SUPERMARTINGALE Poisson process Nonlinear Doob Meyer decomposition 
Riesz Decomposition Theorems for Continuous-time Fuzzy Supermartingales
《Journal of Donghua University(English Edition)》2001年第3期20-23,共4页Feng Yuhu(冯玉瑚) 
Compared with discrete- time fuzzy supermartingales, the structure and the properties of trajectories for continuous-time fuzzy supermartingales are more complex. This paper focuses on Riesz decomposition for continuo...
关键词:FUZZY number  FUZZY martingale  FUZZY SUPERMARTINGALE   FUZZY potential  RIESZ decomposition. 
Decomposition Theorems for Semi-order Fuzzy Supermartingales and Submartingales
《Journal of China Textile University(English Edition)》2000年第2期96-99,共4页冯玉瑚 
Based on semi - order fuzzy supermaringales andsubmartingales, the semi- order fuzzy supermartingaleand submartingale theory is developed. The main resultis to generalize the Doob decomposition and the Riesz de-compos...
关键词:Semi - order FUZZY SUPERMARTINGALE submartin-gale Doob DECOMPOSITION RIESZ DECOMPOSITION . 
Semi-order Fuzzy Supermartingales and Submartingales
《Journal of China Textile University(English Edition)》2000年第1期9-13,共5页冯玉瑚 
There are some mathematical models(see Example2.4)and analogous results in standard martingale theorywhich can not be described by the usual fuzzy martingaletheory because of the lack of corresponding semi-orderin the...
关键词:FUZZY number FUZZY random variable semi -order FUZZY SUPERMARTINGALE SUBMARTINGALE Doob’s stop-ping theorem. 
PRICING AND HEDGING OF AMERICAN CONTINGENT CLAIMS IN INCOMPLETE MARKETS
《Acta Mathematicae Applicatae Sinica》1999年第2期144-152,共9页王桂兰 
This paper studies the pricing and hedging for American contingent claims in an incom-plete market under mild conditions using the numeraire method to avoid changes of probabilitymeasure. When the market is incomplet...
关键词:American contingent claim incomplete market pricing  numeraire SUPERMARTINGALE 
THE STRONG LAW FOR THE P-L ESTIMATE IN THE LEFT TRUNCATED AND RIGHT CENSORED MODEL (I)被引量:2
《Chinese Annals of Mathematics,Series B》1998年第3期341-348,共8页HE SHUYUAN 
For the model with both left truncation and right censoring,suppose all the distributions are continuous. It is proved that the sampled cumulative hazard function Λ n and the product-limit estimate F n are stro...
关键词:Left truncation and right censoring Product-limit estimate Strong law of large numbers Reversed supermartingale 
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