stochastic context free grammars
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Author(s):  
Velimir M Ilić ◽  
Miroslav D Ćirić ◽  
Miomir S Stanković

In this paper we consider the problem of efficient computation of cross-moments of a vector random variable represented by a stochastic context-free grammar. Two types of cross-moments are discussed. The sample space for the first one is the set of all derivations of the context-free grammar, and the sample space for the second one is the set of all derivations which generate a string belonging to the language of the grammar. In the past, this problem was widely studied, but mainly for the cross-moments of scalar variables and up to the second order. This paper presents new algorithms for computing the cross-moments of an arbitrary order, while the previously developed ones are derived as special cases.


2018 ◽  
Vol 33 (1) ◽  
pp. 041
Author(s):  
Velimir M. Ilić ◽  
Miroslav D. Ćirić ◽  
Miomir S. Stanković

In this paper we consider the problem of efficient computation of cross-moments of a vector random variable represented by a stochastic context-free grammar. Two types of cross-moments are discussed. The sample space for the first one is the set of all derivations of the context-free grammar, and the sample space for the second one is the set of all derivations which generate a string belonging to the language of the grammar. In the past, this problem was widely studied, but mainly for the cross-moments of scalar variables and up to the second order. This paper presents new algorithms for computing the cross-moments of an arbitrary order, while the previously developed ones are derived as special cases.


2015 ◽  
Vol 150 ◽  
pp. 147-154 ◽  
Author(s):  
Francisco Álvaro ◽  
Francisco Cruz ◽  
Joan-Andreu Sánchez ◽  
Oriol Ramos Terrades ◽  
José-Miguel Benedí

2013 ◽  
Author(s):  
Bhashyam Balaji ◽  
Mustafa Fanaswala ◽  
Vikram Krishnamurthy

2013 ◽  
Vol 29 (6) ◽  
pp. 704-710 ◽  
Author(s):  
James W. J. Anderson ◽  
Pierre A. Haas ◽  
Leigh-Anne Mathieson ◽  
Vladimir Volynkin ◽  
Rune Lyngsø ◽  
...  

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