Multidimensional asymptotic quantization theory withrth power distortion measures
James Antonio Bucklew, G.L. Wise · IEEE Transactions on Information Theory · 1982
Asymptotic properties of therth power distortion measure associated with quantizedk-dimensional random variables are considered. Subject only to a moment condition, it is shown that the infimum over allNlevel quantizers of the quantityN^{r/k}times therth power average distortion converges to a finite constant asN \rightarrow \infty.