Normal Approximation To The Binomial Distribution
Normal Approximation To The Binomial Distribution
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二项式分布的正态逼近
DOI：
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发表时间：
2011
期刊：
影响因子：
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通讯作者：
Don Allen
中科院分区：
文献类型：
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作者：
Don Allen
我们已经看到，如果存在正确的条件，泊松分布可以用来近似大的n值和小的p值的二项分布。近似值只有在需要计算泊松分布的几项时才有实际用途。在需要计算许多项，有时是数百项的情况下，所涉及的算术确实变得非常繁琐，我们转向正态分布寻求帮助。当然，使用高速计算机来计算也是可能的，但二项分布的正态近似以一种相当优雅的方式否定了这一点。在问题的情况下，本介绍的正态分布是用来避免非常繁琐的算术，而在同一时间给出了一个非常好的近似解。
We have already seen that the Poisson distribution can be used to approximate the binomial distribution for large values of n and small values of p provided that the correct conditions exist. The approximation is only of practical use if just a few terms of the Poisson distribution need be calculated. In cases where many sometimes several hundred terms need to be calculated the arithmetic involved becomes very tedious indeed and we turn to the normal distribution for help. It is possible, of course, to use high-speed computers to do the arithmetic but the normal approximation to the binomial distribution negates this in a fairly elegant way. In the problem situations following this introduction the normal distribution is used to avoid very tedious arithmetic while at the same time giving a very good approximate solution.