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In this paper, we have suggested a new randomized response model and its properties have been studied. The proposed model is found to be more efficient than the randomized response models studied by Bar – Lev et al. (2004) and Eichhorn and Hayre (1983). The relative efficiency of the proposed model has been studied with respect to the Bar – Lev et al.’s (2004) and Eichhorn and Hayre’s (1983) models. Numerical illustrations are also given to support the present study.

AN IMPROVED BAR LEV, BOBOVITCH AND BOUKAI RANDOMIZED RESPONSE MODEL USING MOMENTS RATIOS OF SCRAMBLING VARIABLE