Inequalities between hypergeometric tails

A special inequality between the tail probabilities of certain related hyperge- ometrics was shown by Seneta and Phipps (19) to suggest useful 'quasi-exact' alternatives to Fisher's (5) Exact Test. With this result as motivation, two inequalities of Hajek and Havranek (6) are investigated in this paper and are generalised to produce inequalities in the form required. A parallel inequality in binomial tail probabilities is also established.

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