同时发现，在一定的条件下，带有不同中心化常数的三个精致大偏差概率是彼此等价的。
We discover that, under certain conditions, the three precise large-deviation probabilities with different centering numbers are equivalent to each other.
本文利用大偏差定理对此概率如何进行估计进行深入研究。
By use of large deviation theorem, this paper researches deeply to how to estimate such probability.
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.
在极小工作面开采条件下，利用概率积分法进行开采沉陷预计时结果与现场实测有较大偏差。
There are great differences between the predicted result using probability integral method and the practical observation under condition of exploiting minimal working face.
涉及的概率极限定理包括强大数律，收敛速度，依分布收敛和大偏差原理。
Probability limit theorems surveyed mainly involved strong laws of large Numbers, rates of convergence, convergence in distribution and large deviation principles.
利用经典大偏差的方法，在一定的条件下，得到了相应概率的对数渐近式及测度族的大偏差原理。
By traditional method of large deviations, we obtain the logarithmic asymptotic for the probabilities and large deviation principle for the corresponding measures.
通常，源于大偏差方法的小概率事件的概率可以作为一个变分问题的解。
Usually the probability of rare event derived from large deviation method can be expressed as a solution of variational problem.
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。
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。
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.
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