MultPoisson              package:rmutil              R Documentation

_M_u_l_t_i_p_l_i_c_a_t_i_v_e _P_o_i_s_s_o_n _D_i_s_t_r_i_b_u_t_i_o_n

_D_e_s_c_r_i_p_t_i_o_n:

     These functions provide information about the multiplicative
     Poisson distribution with parameters 'm' and 's': density,
     cumulative distribution, quantiles, and random generation.

     The multiplicative Poisson distribution with 'mu' = m has density

                p(y) = c(m,s) exp(-m) m^y s^(y^2) / y!

     with s <= 1 for y = 0, ..., where c(.) is a normalizing constant.

     Note that it only allows for underdispersion, not being defined
     for s > 1.

_U_s_a_g_e:

     dmultpois(y, m, s, log=FALSE)
     pmultpois(q, m, s)
     qmultpois(p, m, s)
     rmultpois(n, m, s)

_A_r_g_u_m_e_n_t_s:

       y: vector of counts

       q: vector of quantiles

       p: vector of probabilities

       n: number of values to generate

       m: scalar or vector of means

       s: scalar or vector of overdispersion parameters, all of which
          must lie in (0,1). 

     log: if TRUE, log probabilities are supplied.

_A_u_t_h_o_r(_s):

     J.K. Lindsey

_S_e_e _A_l_s_o:

     'dpois' for the Poisson, 'ddoublepois' for the double Poisson,
     'dpvfpois' for the power variance function Poisson, 'dconsul' for
     the Consul generalized Poisson, 'dgammacount' for the gamma count,
     and 'dnbinom' for the negative binomial distribution.

_E_x_a_m_p_l_e_s:

     dmultpois(5,10,0.9)
     pmultpois(5,10,0.9)
     qmultpois(0.85,10,0.9)
     rmultpois(10,10,0.9)

