The probability functions of the hypergeometric (Hy) and binomial (Bi) distributions are compared by means of simple majorizing functions (upper bounds) for the ratio R = Hy/Bi. After applying a suitable permutation of parameters (if necessary) R can always be kept below $$ \sqrt {2} $$.
CITATION STYLE
Ahrens, J. H. (1987). A Comparison of Hypergeometric Distributions with Corresponding Binomial Distributions. In Ökonomie und Mathematik (pp. 253–265). Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-642-72672-9_24
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