Contraction principle is an important constitution of large deviation theory.
收缩原理是大偏差理论的重要组成部分。
Regretfully, so far the classic large deviation theory is confined to the linear case such as linear probability. linear expectation and so on.
遗憾的是，迄今为止经典的大偏差理论局限于线性情形，如线性概率，线性期望等。
Thus, with the purpose of more extensive applications of large deviation theory in nonlinear field, this paper presents some results of large deviation in the nonlinear cases.
因此，为了使大偏差理论在非线性领域得到更广泛的应用，本文研究了大偏差理论在非线性情形下的一些结果。
Large deviation theory provides a good method to calculus the probability of rare event, which will have great impact once it happens although its probability may be very small.
大偏差理论提供了一个很好的办法来计算小概率事件的概率，尽管这种事件发生的概率可能会很小，但是一旦发生将会产生巨大的影响。
We obtain two new equivalent conditions of one class of distributions which can dominate all lightly heavy-tailed distributions. They can turn out to be useful in large deviation and risk theory.
给出了能控制一切轻度重尾分布的分布族的两个新的等价条件，它们可以在大偏差理论及风险理论中发挥一定的作用。
At present the study on gas drilling in terms of borehole deviation mechanism and control method is very few and has not form a theory of large scale systems at home and aboard.
国内外对气体钻井井斜机理及控制方面研究较少，还没有形成系统的理论和技术。
At present the study on gas drilling in terms of borehole deviation mechanism and control method is very few and has not form a theory of large scale systems at home and aboard.
国内外对气体钻井井斜机理及控制方面研究较少，还没有形成系统的理论和技术。
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