Result: Basics of Counting Statistics : Progress in Information Network Science
Title:
Basics of Counting Statistics : Progress in Information Network Science
Authors:
Source:
IEICE transactions on communications. 96(11):2733-2740
Publisher Information:
Tokyo: Communications Society, 2013.
Publication Year:
2013
Physical Description:
print, 21 ref
Original Material:
INIST-CNRS
Subject Terms:
Telecommunications, Télécommunications, Sciences exactes et technologie, Exact sciences and technology, Sciences appliquees, Applied sciences, Telecommunications et theorie de l'information, Telecommunications and information theory, Théorie de l'information, du signal et des communications, Information, signal and communications theory, Méthodes mathématiques, Mathematical methods, Cumulant, Cumulante, Fonction génératrice, Generating function, Función generatriz, Intégrale parcours, Path integral, Integral recorrido, Intégration numérique, Numerical integration, Integración numérica, Méthode numérique, Numerical method, Método numérico, Processus Markov, Markov process, Proceso Markov, Processus saut, Jump process, Proceso salto, Valeur propre, Eigenvalue, Valor propio, generating function approach, numerical method, path-integral approach, stochasticity
Document Type:
Academic journal
Article
File Description:
text
Language:
English
Author Affiliations:
Graduate School of Informatics, Kyoto University, Kyoto-shi, 606-8501, Japan
ISSN:
0916-8516
Rights:
Copyright 2014 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Telecommunications and information theory
Accession Number:
edscal.27893089
Database:
PASCAL Archive
Further Information
In this paper, we briefly review the scheme of counting statistics, in which a probability of the number of monitored or target transitions in a Markov jump process is evaluated. It is generally easy to construct a master equation for the Markov jump process, and the counting statistics enables us to straightforwardly obtain basic equations of the counting statistics from the master equation; the basic equation is used to calculate the cumulant generating function of the probability of the number of target transitions. For stationary cases, the probability is evaluated from the eigenvalue analysis. As for the nonstationary cases, we review a numerical integration scheme to calculate the statistics of the number of transitions.