Monotonicity Properties of Dirichlet Integrals with Applications to the Multinomial Distribution and the Analysis of Variance
Ingram Olkin · Biometrika · 1972
Bounds for the tails of Dirichlet integrals are established by showing that each integral as a function of the limits is a Schur function. In particular, it is shown how these bounds apply to the simultaneous analysis of variance test and to the multinomial distribution.