Abstract Certain monotonicity properties of the Poisson approximation to the binomial distribution are established. As a natural application of these results, exact (rather than approximate) tests of hypotheses on an unknown value of the parameter p of the binomial distribution are presented.

中文翻译：

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二项式分布的泊松近似的单调性

摘要 建立了二项式分布的泊松近似的某些单调性。作为这些结果的自然应用，我们将提供对二项式分布参数 p 的未知值的假设的精确（而不是近似）检验。