DoublePoisson             package:rmutil             R Documentation

_D_o_u_b_l_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 double Poisson
     distribution with parameters 'm' and 's': density, cumulative
     distribution, quantiles, and random generation.

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

         p(y) = c(m,s) s^(y/m) (m/y)^(y log(s)) y^(y-1) / y!

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

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

     ddoublepois(y, m, s, log=FALSE)
     pdoublepois(q, m, s)
     qdoublepois(p, m, s)
     rdoublepois(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: vector of means

       s: vector of overdispersion parameters

     log: if TRUE, log probabilities are supplied.

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

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

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

     ddoublepois(5,10,0.9)
     pdoublepois(5,10,0.9)
     qdoublepois(0.08,10,0.9)
     rdoublepois(10,10,0.9)

