Half-lives T 2ν 1/2 for two neutrino positron double beta decay modes β + EC/ECEC are calculated for 84 Sr, a nucleus of current experimental interest, within the framework of the deformed shell model based on Hartree-Fock states employing a modified Kuo interaction in ( 2 p 3/2 , 1 f 5/2 , 2 p 1/2 , 1 g 9/2 ) space. For a reasonable description of the spectra of 84 Sr and 84 Kr and to generate allowed GT strengths, the single particle energies of the proton and neutron 1 g 9/2 orbitals, relative to the 2 p 3/2 orbital energy, are chosen to be (3.5 MeV, 1.5 MeV) for both 84 Sr and 84 Rb and (1.5 MeV, 1.5 MeV) for 84 Kr. With this, the calculated half-lives for the β + EC and ECEC modes are ∼ 10 26 yr and ∼ 4 × 10 24 yr respectively.