Journal of Applied Mathematics and Decision Sciences 
Volume 7 (2003), Issue 3, Pages 165-174
doi:10.1155/S1173912603000154

Inequalities between hypergeometric tails

Mary C. Phipps

 School of Mathematics and Statistics, University of Sydney, 2006, NSW, Australia

Abstract

A special inequality between the tail probabilities of certain related hypergeometrics 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 Hájek and Havránek [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.