@article {66, title = {Multidimensional asymptotic quantization theory with $r$th power distortion measures}, journal = {Information Theory, IEEE Transactions on }, volume = {28}, year = {1982}, pages = {239 - 247}, abstract = {Asymptotic properties of therth power distortion measure associated with quantized $k$-dimensional random variables are considered. Subject only to a moment condition, it is shown that the infimum over all $N$ level quantizers of the quantity $N^{r/k}$ times the $r$th power average distortion converges to a finite constant as $N \rightarrow \infty$.}, author = {James A. Bucklew and Gary L. Wise} }