收缩原理是大偏差理论的重要组成部分。

Contraction principle is an important constitution of large deviation theory.

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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。

Regretfully, so far the classic large deviation theory is confined to the linear case such as linear probability. linear expectation and so on.

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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。

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.

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