Two cases are distinguished: that in which the Poisson parameter is fixed and that in which it changes from sample to sample. Applied Statistics of the Journal of the Royal Statistical Society was ...

Let Y1, Y2,⋯, be a sequence of independent, identically distributed random variables, g some symmetric 0-1 function of m variables and set Xi1⋯ im = g (Yi1 ,⋯, Yim ). Silverman and Brown (1978) have ...