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Fisher information and stochastic complexity

Rissanen, J.J.  
IBM Almaden Res. Center, San Jose, CA;

This paper appears in: Information Theory, IEEE Transactions on
Publication Date: Jan 1996
Volume: 42,  Issue: 1
On page(s): 40-47
ISSN: 0018-9448
References Cited: 21
CODEN: IETTAW
INSPEC Accession Number: 5196851
Digital Object Identifier: 10.1109/18.481776
Posted online: 2002-08-06 20:16:49.0

Abstract
By taking into account the Fisher information and removing an inherent redundancy in earlier two-part codes, a sharper code length as the stochastic complexity and the associated universal process are derived for a class of parametric processes. The main condition required is that the maximum-likelihood estimates satisfy the central limit theorem. The same code length is also obtained from the so-called maximum-likelihood code

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