varMult               package:occugene               R Documentation

_V_a_r_i_a_n_c_e _o_f _t_h_e _O_c_c_u_p_a_n_c_y _D_i_s_t_r_i_b_u_t_i_o_n

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

     Returns the variance of the occupancy distribution based on a 
     multinomial distribution.

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

     varMult(n, p, iter=NULL, seed=NULL, experimental=NULL)

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

       n: number of attempts in the multinomial distribution

       p: probabilities for landing in a specific bin

    iter: number of iterations used in the Monte-Carlo approximation

    seed: seed for the random number generator

experimental: access to other functions of multinomials

_D_e_t_a_i_l_s:

     This functions computes the variance of the occupancy distribution
     for a multinomial. In other words, the expected number of bins
     with  at least one ball. The experimental argument "oneBall"
     computes variance of bins with exactly one ball and the
     experimental argument "nextTo" computes the variance of bins with
     one ball next to a bin with zero balls. Consider any functionality
     through the experimental  argument untested.

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

     Returns a numeric

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

     Oliver Will owill4@yahoo.com

_R_e_f_e_r_e_n_c_e_s:

     See the book chapter O. Will (**) in ** for specific details about
     this package or Johnson, N. L. and Kotz, S. (1977) _Urn Models and
     Their  Application: An Approach to Modern Discrete Probability
     Theory_.  John Wiley & Sons, New York, NY.

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

     n <- 20
     p <- c(seq(10,1,-1),47)/100
     p <- p/sum(p)
     varMult(n,p)
     varMult(n,p,iter=1000,seed=4)

