Piosson分布参数的p-值检验

On the p-Value Testing of the Poisson Distribution Parameter

首先给出一个定理揭示Poisson分布与伽马分布的关系,利用充分性原理获得了检验统计量.进一步给出Poisson分布参数的单侧显著性检验p-值的计算方法,并结合实例对所给方法进行演示.

Firstly,we prove a theorem to reveal the relationship between the Poisson distribution and the Gamma distribution. Secondly,the principle of sufficiency is employed to get the test statistic. Further,we derivate the method for computing the p-value in the testing about the parameter of Poisson distribution. Lastly,we give an example to show the application of the method.