An entropic test of uniformity and optimality of codebooks. (English) Zbl 0666.62006

Feistauerová, J.

Probl. Control Inf. Theory 17, No. 5, 319-325 (1988).

We introduce a statistical test of uniformity of a discrete probability distribution based on the concept of entropy. The uniformity of the actual use of codewords in practical applications is quite a reasonable criterion for the optimality of a codebook. Our test is proposed mainly for this purpose and its application to a codebook for speech compression is demonstrated.

MSC:

62B10	Statistical aspects of information-theoretic topics
94A15	Information theory (general)

Keywords:

test of uniformity; discrete probability distribution; entropy; optimality of a codebook; codebook for speech compression