Title
Estimating the number of states of a finite-state source
Abstract
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
Year
DOI
Venue
1992
10.1109/18.108249
Information Theory, IEEE Transactions  
Keywords
Field
DocType
data compression,information theory,probability,Lempel-Ziv data compression algorithm,exponential decay rate,finite alphabet source,finite-state source,minimum probability,number of states estimation,overestimation probability,underestimation probability
Information theory,Discrete mathematics,Combinatorics,Markov model,Minimax estimator,Exponential decay,State variable,Data compression,Mathematics,Consistent estimator,Estimator
Journal
Volume
Issue
ISSN
38
1
0018-9448
Citations 
PageRank 
References 
35
29.47
6
Authors
2
Name
Order
Citations
PageRank
J. Ziv161241414.57
Merhav, N.23529.47