  Random phase approximation ground state contains electronic configurations
where two (and more) identical electrons can occupy the same molecular
spin-orbital violating the Pauli exclusion principle. This overcounting of
electronic configurations happens due to quasiboson approximation in the
treatment of electron-hole pair operators. We describe the method to restore
the Pauli principle in the RPA wavefunction. The proposed theory is illustrated
by the calculations of molecular dipole moments and electronic kinetic
energies. The Hartree-Fock based RPA, which is corrected for the Pauli
principle, gives the results of comparable accuracy with M{\o}ller-Plesset
second order perturbation theory and coupled-cluster singles and doubles
method.
