Title :
Poisson´s law and information theory
Author :
Harremoës, Peter
Author_Institution :
Aurehoj Amtsgymnasium, Gentofte, Denmark
Abstract :
The binomial and the Poisson distributions are shown to be maximum entropy distributions of suitably defined sets. Poisson´s law is considered as a case of entropy maximization, and also convergence in information divergence is established
Keywords :
Poisson distribution; binomial distribution; information theory; maximum entropy methods; Poisson distribution; Poisson´s law; binomial distribution; convergence; entropy maximization; information divergence; information theory; maximum entropy distributions; Convergence; Entropy; Information theory; Maximum likelihood estimation; Probability distribution; Q measurement; Random variables; Statistical distributions;
Conference_Titel :
Information Theory, 2001. Proceedings. 2001 IEEE International Symposium on
Conference_Location :
Washington, DC
Print_ISBN :
0-7803-7123-2
DOI :
10.1109/ISIT.2001.935909