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Nonparametric entropy estimation for stationary processes and random fields, with applications to English text

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4 Author(s)
Kontoyiannis, I. ; Dept. of Electr. Eng., Stanford Univ., CA, USA ; Algoet, P.H. ; Suhov, Yu.M. ; Wyner, A.J.

We discuss a family of estimators for the entropy rate of a stationary ergodic process and prove their pointwise and mean consistency under a Doeblin-type mixing condition. The estimators are Cesaro averages of longest match-lengths, and their consistency follows from a generalized ergodic theorem due to Maker (1940). We provide examples of their performance on English text, and we generalize our results to countable alphabet processes and to random fields

Published in:

Information Theory, IEEE Transactions on  (Volume:44 ,  Issue: 3 )

Date of Publication:

May 1998

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