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Estimating the number of states of a finite-state source

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2 Author(s)
J. Ziv ; Dept. of Electr. Eng., Technion, Israel Inst. of Technol., Haifa, Israel ; N. Merhav

The problem of estimating the number of states of a finite-alphabet, finite-state source is investigated. An estimator is developed that asymptotically attains the minimum probability of understanding the number of states, among all estimators with a prescribed exponential decay rate of overestimation probability. The proposed estimator relies on the Lempel-Ziv data compression algorithm in an intuitively appealing manner

Published in:

IEEE Transactions on Information Theory  (Volume:38 ,  Issue: 1 )