Multiplicative Poisson        package:rmutil        R Documentation

_T_h_e _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

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

     dmultpois(y, m, s)
     pmultpois(y, m, s)

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

       y: vector of counts

       q: vector of quantiles

       m: scalar or vector of means

       s: scalar or vector of overdispersion parameters

_V_a_l_u_e:

     These functions provide information about the multiplicative
     Poisson distribution with parameters `m' and `s'. `dmultpois'
     gives the density and `pmultpois' gives the distribution function.

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

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

     for y = 0, ..., where c(.) is a normalizing constant.

_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, and
     `dnbinom' for the negative binomial distribution.

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

     dmultpois(5,5,0.9)
     pmultpois(5,5,0.9)

