Gamma Count              package:rmutil              R Documentation

_G_a_m_m_a _C_o_u_n_t _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 gamma count
     distribution with parameters 'm' and 's': density, cumulative
     distribution, quantiles, and random generation.

     The gamma count distribution with 'prob' = m has density

          p(y) = pgamma(m s, y s, 1)-pgamma(m s, (y+1) s, 1)

     for y = 0, ..., n where pgamma(m s, 0, 1)=1.

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

     dgammacount(y, m, s, log=FALSE)
     pgammacount(q, m, s)
     qgammacount(p, m, s)
     rgammacount(n, m, s)

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

       y: vector of frequencies

       q: vector of quantiles

       p: vector of probabilities

       n: number of values to generate

       m: vector of probabilities

       s: vector of overdispersion parameters

     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, 'dconsul' for the Consul generalized
     Poisson, 'ddoublepois' for the double Poisson, 'dmultpois' for the
     multiplicative Poisson distributions, and 'dnbinom' for the
     negative binomial distribution.

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

     dgammacount(5,10,0.9)
     pgammacount(5,10,0.9)
     qgammacount(0.08,10,0.9)
     rgammacount(10,10,0.9)

