THE QUANTIZATION OF THE CANTOR DISTRIBUTION

For a real-valued random variable whose distribution is the classical Canter probability, the n-quantization error and the n-optimal quantiz ation rules are calculated for every natural number n. Moreover, the c onnection between the rate of convergence of the logarithms of the qua ntization errors for n going to infinity and the Hausdorff dimension o f the Canter set is indicated.