摘要
本文着重指出,在运用中心极限定理近似计算独立同泊松分布随机变量之和的概率时,通常只注意了取n适当大的值,从而导致了差异较大的不同结果。本文指出了不仅要使n适当的大,而且也要使nλ足够地大。当X_h是其他离散型随机变量时,也要考虑类似的问题。
This paper emphatically points out that when the Central Limit Theoremfor approximate calculation of probability of Xk is put to use, where{Xk}is a sequence of mutually independent randum variables with a common Poisson distribution P(λ), attention must be paid to the fact that not only n but also nλ should be sufficiently large.It also points out that when Xk are other discrete randum variables, the similar questions should also be taken into consideration.
关键词
中心极限定理
近似计算
计算数学
computational mathematics, central limit theorem, random variable, approximate calculation
