On the rate distortion functions of memoryless sources under a magnitude-error criterion

We consider the evaluation of and bounds for the rate distortion functions of independent and identically distributed (i.i.d.) sources under a magnitude-error criterion. By refining the ingeneous approach of Tan and Yao we evaluate explicitly the rate distortion functions of larger classes of i.i.d. sources and we obtain families of lower bounds for arbitrary i.i.d. sources