UPmultinomial            package:sampling            R Documentation

_M_u_l_t_i_n_o_m_i_a_l _s_a_m_p_l_i_n_g

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

     Use Hansen-Hurwitz method to select a sample of units (unequal
     probabilities, with replacement, fixed sample size).

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

     UPmultinomial(pik)

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

     pik: vector of prescribed inclusion probabilities.

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

     Return a vector (with elements 0 and 1) of size N, where N is the
     population size.   Each element k of this vector indicates the
     status of the unit k  (1, the unit k is selected in the sample; 0,
     otherwise).

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

     Hansen, M. and Hurwitz, W. (1943), On the theory of sampling from
     finite populations. _Annals of Mathematical Statistics_,
     14:333-362.

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

     'rmultinom'

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

     #define the prescribed inclusion probabilities
     pik=c(0.2,0.7,0.8,0.5,0.4,0.4)
     #select a sample
     s=UPmultinomial(pik)
     #the sample is
     (1:length(pik))[s==1] 

