Stopping times
DOI:
https://doi.org/10.51453/2354-1431/2016/90Keywords:
stopping time, stopping point, mathematics, martingale theoryAbstract
For mathematics, the theory Martingale has greatly affected research. Martinganle derived
from games. Not too surprising today martingale theory has played an important role in random fields like financial, biological, physical areas. Furthermore, martingale theory has also been applied in many branches of mathematics, such as: Functional analysis, differential equations,
econometrics, and especially recently, have many significant applications in the stock market
An important tool in martingale theory and the application of them is the time to stop. For example, we want to stop a martingale before it becomes big values. However, the stopping should be made so that the object is a martingale stop which is a really important significance.
So how to determine the time to stop? The followings will demonstrate the application of mathematics in practice, especially for random field. We will know more about time stops, characteristics and their properties through the concepts, examples ...
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References
1. Nguyễn Duy Tiến, Vũ Viết Yên (2003). Lý thuyết xác suất, NXB Giáo dục.
2. Geiss C.,Geiss S., An introduction to probability theory. 2004
3. D.Williams. Probability with martingales. 1991
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