Title :
On the existence of a class of maximum-entropy probability density functions (Corresp.)
fDate :
11/1/1977 12:00:00 AM
Abstract :
Existing theory on the maximum-entropy solution to the moment problem is extended. Criteria for identifying moment vectors whose maximum-entropy solution cannot have a certain exponential form are formulated. A proof of the uniqueness of maximum-entropy solutions is provided. A numerical procedure and some numerical results are presented.
Keywords :
Entropy functions; Probability functions; Density functional theory; Educational institutions; Entropy; Information filtering; Information filters; Information science; Nonlinear filters; Probability density function; Process control; Statistics;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.1977.1055784