10.6092/ISSN.1973-2201/1120
Tagliani, A.
A.
Tagliani
Maximun entropy in the discrete generalized moment problem
Dep. of Statistical Sciences "Paolo Fortunati", Università di Bologna
2013
PDF Document
2013
Statistica; Vol 60, No 1 (2000)
The recovering of a discrete probability distribution taking on a countable values, when only partial information is available, is considered. The partial information is provided by a finite number of available generalized moments, so that the problem of recovering resorts to an underdetermined generalized moment problem. Maximun entropy method is invoked in choosing the analytical form of the approximant distribution having the same moments. It is proved that except the cases in wich M = 2 or M = 3 generalized moments are assigned, the necessary and sufficient conditions for the existence of a maximun entropy distribution are identical to the ones of the reduced moment problem.
Statistica; Vol 60, No 1 (2000)