Local simulation of singlet statistics for restricted set of measurement
  The essence of Bell's theorem is that, in general, quantum statistics cannot be reproduced by local hidden variable (LHV) model. This impossibility is strongly manifested while analyzing the singlet state statistics for Bell-CHSH violations. In this work, we provide various subsets of two outcome POVMs for which a local hidden variable model can be constructed for singlet state. 
Ashutosh Rai, MD. Rajjak Gazi, Manik Banik, Subhadipa Das, Samir   Kunkri
quant-ph