UPmidzunopi2            package:sampling            R Documentation

_J_o_i_n_t _i_n_c_l_u_s_i_o_n _p_r_o_b_a_b_i_l_i_t_i_e_s _f_o_r _M_i_d_z_u_n_o _s_a_m_p_l_i_n_g

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

     Compute the joint inclusion probabilities for Midzuno sampling.

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

     UPmidzunopi2(pik)

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

     pik: vector of inclusion probabilities.

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

     Return a NxN matrix with the first order inclusion probability for
     each unit k in the population on the first diagonal and with the
     joint inclusion probability of units k and l in position (k,l) in
     the matrix, where k and l are not equal (N is the population
     size).

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

     Midzuno, H. (1952), On the sampling system with probability
     proportional to sum of size. _ Annals of the Institute of
     Statistical Mathematics_, 3:99-107.

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

     'UPmidzuno'

_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)
     #matrix of the joint inclusion probabilities
     UPmidzunopi2(pik)

