

   TThhee MMuullttiipplliiccaattiivvee BBiinnoommiiaall DDiissttrriibbuuttiioonn

        dmultbinom(y, n, m, s)
        pmultbinom(q, n, m, s)

   AArrgguummeennttss::

          y: vector of frequencies

          q: vector of quantiles

          n: vector of totals

          m: vector of probabilities

          s: vector of overdispersion parameters

   VVaalluuee::

        These functions provide information about the multi-
        plicative binomial distribution with parameters `m' and
        `s'. `dmultbinom' gives the density and `pmultbinom'
        gives the distribution function.

        The multiplicative binomial distribution with total = n
        and `prob' = m has density

        p(y) = c(n,m,s) Choose(n,y) m^y (1-m)^(n-y) s^(y(n-y))

        for y = 0, ..., n, where c(.) is a normalizing con-
        stant.

   AAuutthhoorr((ss))::

        J.K. Lindsey

   SSeeee AAllssoo::

        `dbinom' for the binomial, `ddoublebinom' for the dou-
        ble binomial, and `dbetabinom' for the beta binomial
        distribution.

   EExxaammpplleess::

        # Compute P(45 < y < 55) for y multiplicative binomial(100,0.5,1.1)
        sum(dmultbinom(46:54, 100, 0.5, 1.1))
        pmultbinom(54, 100, 0.5, 1.1)-pmultbinom(45, 100, 0.5, 1.1)

